residual stress measurement of electron beam welded copper

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December 2013 Working Reports contain information on work in progress or pending completion. Markus Laakkonen Stresstech Oy Working Report 2011-96 Residual Stress Measurement of Electron Beam Welded Copper Plates Using Prism Hole Drilling Method

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Page 1: Residual Stress Measurement of Electron Beam Welded Copper

December 2013

Working Reports contain information on work in progress

or pending completion.

Markus Laakkonen

Stresstech Oy

Working Report 2011-96

Residual Stress Measurement ofElectron Beam Welded Copper Plates

Using Prism Hole Drilling Method

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ABSTRACT

Eleven electron beam (EB) welded copper plates were measured in this investigation with Prism hole drilling equipment made by Stresstech Oy. All samples contained a linear weld in their center.

Two different sets of plates were measured in this investigation. The first set included five samples (X436, X437, X438, X439 and X440) which were welded using four different welding speeds. Samples X439 and X440 were welded with the same speed but X440 is the only sample of the set that received a cosmetic pass. The second set received heat treatments at four different temperatures. Samples X456 and X458 were annealed at the same temperature but sample X456 received a cosmetic pass while X458 did not. Samples X455 and X457 were both annealed at a different temperature, with (X455) or without (X457) the cosmetic pass.

Two areas were machined from the samples. About five millimeters was machined from the surfaces on the both of areas. Machined surfaces located on the top surfaces. The measurement points on the top surface are located on the weld and 20 mm and 120 mm from the weld on machined areas. Lower surface measurements are located -20 mm, 20 mm and 120 mm from the weld. All measurements were about 122 mm from the edges perpendicular to the weld.

The top surfaces of all samples were machined in two areas across the weld. About 5 mm were removed. Stress measurements on the top surfaces were performed in these two areas, on the weld and 20 mm and 120 mm away from the weld. Stresses were also measured on the back sides, at -20 mm, 20 mm and 120 mm distance from the weld. All measurement locations were about 122mm from the sample edges.

Most of the measurements give tensile strengths from 0 MPa to 30 MPa. Streses paraller to the weld were slightly higher than weld stresses in transverse direction. The machined surfaces have residual stress values above 30 MPa near the surface.

Keywords: Prism, Hole Drilling, Residual stress, Copper, EB-Weld.

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Elektronisuihkuhitsattujen kuparilevyjen jäännösjännitysten mittaus Prism reiänporausmenetelmällä

TIIVISTELMÄ

Elektronisuihkuhitsauksen (EB-hitsauksen) aiheuttamia jäännösjännitystiloja tutkittiin yhdestätoista kuparinäytteestä. Kaikkiin yhteentoista kappaleeseen oli hitsattu suora-sauma. Tässä raportissa on esitetty jäännösjännitysmittausten tuloksia, jotka on tehty Prism reiänporauslaitteistolla.

Tutkitut kappaleet voitiin jakaa kahteen eri sarjaan. Ensimmäisessä sarjassa oli viisi näytettä (X436, X437, X438, X439 ja X440), jotka oli hitsattu neljällä eri hitsaus-nopeudella. Näytteet X439 ja X440 oli hitsattu samalla hitsausnopeudella, mutta näytteessä X440 oli kosmeettinen hitsi ja näytteessä X439 ei ollut, kuten ei ollut myöskään näytteissä X436, X437 ja X438. Toisen sarjan kuudelle näyteelle oli tehty lämpökäsittely neljällä eri lämpötilalla. Näytteet X456 ja X458 oli käsitelty samalla lämpötilalla, mutta näytteessä X456 oli kosmeettinen hitsi ja X458 ei ollut kosmeettista hitsiä. Myös kappaleet X455 ja X457 olivat käsitelty samalla lämpötilalla, mutta näytteessä X455 oli kosmeettinen hitsi, mutta näytteessä X457 ei ollut kosmeettista hitsiä.

Kaikkista näytteistä oli koneistettu noin viisi millimetriä pintaa pois kahdesta eri kohtaa, joista jäännöjännitykset mitattiin. Koneistetut pinnat sijaitsivat hitsikuvun puolella vastakkaissuuntaisesti hitsi vasten. Mittaukset suoritettiin kolmesta eri kohtaa molem-milta koneistuspinnoilta. Mittaukset tehtiin hitsin keskikohdalta sekä 20 ja 120 milli-metrin päästä hitsin keskilinjalta. Lisäksi näytteille X438, X453, X454, X455, X456, X457 ja X458 tehtiin mittaukset myös juurien puolilta. Nämä mittauspisteet sijaitsivat 20 millimetrin päässä molemmilla puolilla hitsin keskilinjaa. Kolmas mittauspiste sijaitsi 120 millimetrin päässä hitsin keskilinjalta. Juurien puolilla oli yhteensä kuusi syvyysprofiilia, koska mittaukset suoritettiiin vastakkaisilta korkeuksilta kuin kuvun-puolella.

Suurimmassa osassa hitsejä oli jäännösjännitykset noin 0-30 MPa vedonpuolella, kun otetaan huomioon pinnan jäännösjännitykset.

Avainsanat: Prism, Reiänporaus, Jäännösjännitys, Kupari, EB-hitsi.

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PREFACE

This report is one part of the residual stress evaluation of the EB-welded nuclear waste canister made of copper. Target of the residual stress evaluation is to assess level of the residuals stresses of the weld and also effect of the welding parameters and stress relief on residual stresses. Evaluation can be divided on following parts:

- Evaluation deformations and residual stresses on EB-welds using numerical modeling (finite element method, FEM)

- Residual stress measurements of the EB-welds using different measurement methods: hole drilling, contour method and deep hole drilling

- Destructive testing of the weld to assess residual stresses. Destructive testing methods like hardness and electron backscattering diffraction (EBSD) methods have been used for evaluate work hardening and plastic deformation of welds

Residual stresses have been measured on electron beam welded copper plates using Prism hole drilling method. These measurements and results are reported in this report.

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TABLE OF CONTENTS

ABSTRACT TIIVISTELMÄ PREFACE

1 INTRODUCTION ..................................................................................................... 3

2 EXPERIMENTAL ..................................................................................................... 5

2.1 Plate specimens ............................................................................................... 5

2.2 Prism hole drilling method ................................................................................ 6

2.2.1 Preparation of copper samples and measurement locations .................... 9

3 PRISM HOLE DRILLING MEASUREMENTS AND ANALYSIS ............................ 11

4 RESULTS .............................................................................................................. 13

4.1 Effect of welding speed and the cosmetic pass on residual stresses ............. 13

4.2 Effect of annealing and the cosmetic pass on residual stresses .................... 22

5 SUMMARY ............................................................................................................ 41

REFERENCES ............................................................................................................. 43

APPENDIX measurement results ................................................................................ 45

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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1 INTRODUCTION

The final disposal of spent nuclear fuel is based on the use of cast iron inner containers which are enclosed by copper canisters. The copper canister is manufactured from a hollow cylinder to which the bottom and the lid are electron beam welded. The construction is designed so that cast iron gives the structural strength and copper gives the corrosion resistance. The aim of this study was to find residual stress differences related to various welding parameters.

The residual stress measurements were performed at Sresstech Oy by Prism hole drilling instrument. The measurement program was designed in cooperation with Posiva Oy. The practical and analytical work was done at Stresstech Oy.

This report includes residual stress results from eleven welded copper plates.

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2 EXPERIMENTAL

Eleven electron beam (EB) welded copper plates were submitted to Stresstech Oy for residual stress measurement and analysis. Residual stresses were measured with Prism hole drilling equipment made by Stresstech Oy. A total of 108 measurements were done on copper samples. Measurements were performed on the weld, 20 mm and 120 mm from the weld, to get an overview of residual stresses and see the effect of the welding speed, cosmetic pass and annealing temperature on residual stresses.

2.1 Plate specimens

Two different types of plate series were measured. The first set of samples was welded with different welding speeds to see effect of welding speed and cosmetic pass, see Table 1. The second set of samples was selected to evaluate the effect of annealing and the pass, see Table 2. Fabrication of the plates had been done by welding two copper plates having the same dimension with a through-thickness EB-weld. Following the welding procedures, the top surface of the plates was machined to give the surface a smooth finish. Measured samples were named X436, X437, X438, X439, X440, X453, X454, X455, X456, X457 and X458, see Figure 1. All measurements were performed at Stresstech Oy in Vaajakoski at room temperature (about 20 ºC). The measurement arrangement is shown in Figure 6.

Table 1. Effect of welding speed and the cosmetic pass on residual stresses. 

Sample Welding speed Cosmetic pass Number of Measurement points

ID v [mm/s] Top surface Lower suface

X436 4.0 no 6

X437 3.2 no 6

X438 2.5 no 6 6

X439 2.1 no 6

X440 2.1 yes 6

 

Table 2. Effect of annealing and the cosmetic pass on residual stresses. 

Sample Annealing

temperature Cosmetic pass Number of Measurement points

ID [°C] Top surface Lower suface

X456 0 yes 6 6

X458 0 no 6 6

X453 170 yes 6 6

X454 250 yes 6 6

X455 200 yes 6 6

X457 200 no 6 6

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Light blue = difference between plate size

Blue = effect of welding speed

Red = effect of annealing temperature

Green background = effect of the cosmetic pass

Yellow background = full factorial design: anneal on/off and cosmetic pass on/off

Figure 1. Copper plate sample X437. The weld line is marked with red line.

2.2 Prism hole drilling method

The hole drilling technique is one of the most commonly used methods for stress measurement. By removing a volume of material, residual stresses are removed and the stress equilibrium in the part is changed. The stresses in the remaining material rebalance and the surface, especially near the hole, distorts slightly. In the traditional technique with strain gages, this surface distortion is measured as a change in electrical resistance.

Prism measures surface distortion optically using laser light (ESPI – Electronic Speckle Pattern Interferometry; see schematic in Figure 2. Images from before drilling are compared with those after each drilling increment. Every condition is described by a set of four images, each taken with the reference beam phase-shifted a different amount: 0°,

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90°, 180° and 270°. The reference beam interferes with the object beam on the CCD, Figure 2. This allows measuring surface displacements as a phase shift. Illumination and observation directions can be adjusted by the user to accommodate a variety of measurement conditions. Thus, the sensitivity direction of the measurement can vary, Figure 3.

Data analysis includes all pixels in a ring-shaped area around the hole, described by the inner and outer integration radius. The area immediately next to the edge does not provide useful information because the drilling process always disturbs this part of the surface. The analysis area can be modified in the software; an inner radius of twice the hole radius and an outer radius 4 times the hole radius are typical.

The combination of all pixel intensities yields a phase map ,

Figure 2. Prism schematic /1/.

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Figure 3. Illustration of the sensitivity vector /1/.

which is then treated with an unwrapping algorithm to produce the experimental displacement map. This map is fitted using model displacement maps for each of the three variables of the planar stress state. Together with the elastic material parameters, Young’s modulus and Poisson’s ratio, this generates the stress values. The fitting also considers three variables describing all possible types of rigid-body movements (to account for sample movement between the image sets). The stress profile calculation includes an option for Tikhonov regularization, which binds the individual depth values together and leads to a smoothing of the curve.

Prism typically is used with end mills from about 0,8 mm to about 3,2 mm (1/32” – 1/8”) diameter. But the limitation for hole diameter is only that of the hardware; that is, the actual size of the drill bit, and the capability of the zoom lens to image the hole. The zooming function is affected by the distance between camera and sample.

The maximum useful hole depth is dependent on hole diameter. In fact, instead of separating depth and diameter, the parameter of interest is the depth to diameter ratio, h/d. It is generally considered that the maximum h/d ratio should not exceed 0.6. The reason for this is apparent; with increasing drilling depth the distortion of the surface decreases even if the stress level is constant. From a certain depth onward the specimen will not produce any noticeable change at the surface, which is where the displacement measurement is taking place. The numerical models developed for Prism support drilling between 0.1<h/d<0.6. /1/

A second hole/depth dependency is the state of stress, that is, for lower stress levels, a larger amount of material must be removed by the drill in order to produce a measurable amount of surface displacement. On the other hand, if stresses are large, even small

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drilling increments may produce good data. This also means that a smaller diameter bit may be used successfully for the same depth increment.

The end mills provided with the instrument produce a hole very close to cylindrical. The holes end in an inverted cone. For shallow depths the hole shape still may significantly deviate from the cylindrical shape assumed in the stress model. This may lead to a relatively poor fit of the stress state, making near-surface results less accurate. A possible remedy is to use a smaller diameter bit for cases where surface-near measurements are critical.

Type of drill, type of drill bit, the actuated stage and the setup of the components all affect the accuracy of hole diameter and depth and subsequently the accuracy of the result. In general, the drill system provided with Prism should produce diameter accuracies with less than 1 % impact on stress results. Relative depth accuracy is also a function of the depth drilled since most error sources have absolute magnitudes (not relative to the depth value). Thus, shallow holes are affected more. In general, if a full error analysis is required, measurements will have to be made of hole depth and diameter, in the particular material of interest, and with the drilling equipment to be used.

2.2.1 Preparation of copper samples and measurement locations

Measurement areas were cleaned with ethanol and pressurized air before painting. Maston Colormix series paint (silver, number 996) was used for painting the measurement areas to increase diffuse light scattering.

The measurement points on the top surface are located on the weld and 20 mm and 120 mm from the weld. Lower surface measurements are located -20 mm, 20 mm and 120 mm from the weld. All measurements were about 122 mm from the edges perpendicular to the weld, see Figures 4 and 5.

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Figure 4. Measurement locations on front side of the plates (top surface). Measurement points were named weld (start weld), weld (weld end), 20 mm (start weld), 20 mm (weld end), 120 mm (start weld) and 120 mm (weld end). Measurement points are marked with red circles.

Figure 5. Measurement locations on back side of the plates (lower surface). Measurement points were named -20 mm (start weld), -20 mm (weld end), 20 mm (start weld), 20 mm (weld end), 120 mm (start weld) and 120 mm (weld end). Measurement points are marked with red circles.

weld120 mm 

20 mm

weld

20 mm

120 mm 

20 mm

120 mm‐20 mm

120 mm

20 mm

‐20 mm

start weld

weld end

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3 PRISM HOLE DRILLING MEASUREMENTS AND ANALYSIS

The cylindrical holes were machined step by step using a high-speed steel end mill (2-fluted, TiNcoated), with a nominal diameter of Ø 1,59 mm (1/16”) which was driven by a high-speed drill; 30 000 rpm was used. The drilling rig was programmed to reach the final depth of 1,0 mm in 10 steps (50 µm, 100 µm, 150 µm, 200 µm, 300 µm, 400 µm, 500 µm, 600 µm, 800 µm and 1000 µm). The drilling feed rate was 0,05 mm/s, and after every drilling step, the drilling was stopped for about 60 seconds before taking a first set of images; a second image set was taken about 30 seconds after that. Illumination alpha rotation angle was -50° and video alpha rotation angle was -30° for all measurements. The measurement setup can be seen in figure 6.

Stresses were calculated using a Poisson’s ratio of 0.35 and a Young’s modulus of 117 000 MPa. The inner integration radius was 2.0 times the hole diameter and the outer integration radius 4.0. Measurement details can be seen in table 3.

Table 3. Prism residual stress measurement details.

Drill Bit Size 1.59 mm (1/16”) Illumination Angle -50°

Drill Bit Type 2-fluted, TiN-coated Observation Angle -30°

Drilling Speed 30,000 rpm Analysis Range from 2.0 to 4.0

Material Copper x hole size)

Young's Modulus 117 GPa Orientation: XX = Transverse to the weld

Poisson's Ratio 0.35 Regularization factor 0.05

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Figure 6. Measurement setup. Measurement directions σ xx and σ yy are marked with red arrows.

σyy 

σxx

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4 RESULTS

All results are given graphically form in the following. xx is the stress in horizontal, yy in vertical direction, Figure 6. The measurement positions can be seen in Figures 4 and 5. All stress calculations reported here used regularization, typically with a small factor of 0.05.

4.1 Effect of welding speed and the cosmetic pass on residual stresses

Figure 7. Sample X436. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Welding speed 4.0 mm/s was used, no cosmetic pass.

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Figure 8. Sample X436. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Welding speed 4.0 mm/s was used, no cosmetic pass.

Figure 9. Sample X436. Residual stress profiles of the shear stress (τ xy) on the top surface. Welding speed 4.0 mm/s was used, no cosmetic pass.

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Figure 10. Sample X437. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Welding speed 3.2 mm/s, no cosmetic pass.

Figure 11. Sample X437. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Welding speed 3.2 mm/s, no cosmetic pass.

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Figure 12. Sample X437. Residual stress profiles of the shear stress (τ xy) on the top surface. Welding speed 3.2 mm/s, no cosmetic pass.

Figure 13. Sample X438. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Welding speed 2.5 mm/s, no cosmetic pass.

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Figure 14. Sample X438. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Welding speed 2.5 mm/s, no cosmetic pass.

Figure 15. Sample X438. Residual stress profiles of the shear stress (τ xy) on the top surface. Welding speed 2.5 mm/s, no cosmetic pass.

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Figure 16. Sample X438. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Welding speed 2.5 mm/s, no cosmetic pass.

Figure 17. Sample X438. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Welding speed 2.5 mm/s, no cosmetic pass.

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Figure 18. Sample X438. Residual stress profiles of the shear stress (τ xy) on the lower surface. Welding speed 2.5 mm/s, no cosmetic pass.

Figure 19. Sample X439. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Welding, speed 2.1 mm/s, no cosmetic pass.

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Figure 20. Sample X439. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Welding speed 2.1 mm/s, no cosmetic pass.

Figure 21. Sample X439. Residual stress profiles of the shear stress (τ xy) on the top surface. Welding speed 2.1 mm/s, no cosmetic pass.

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Figure 22. Sample X440. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Welding speed 2.1 mm/s, cosmetic pass.

Figure 23. Sample X440. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Welding speed 2.1 mm/s, cosmetic pass.

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Figure 24. Sample X440. Residual stress profiles of the shear stress (τ xy) on the top surface. Welding speed 2.1 mm/s, cosmetic pass.

4.2 Effect of annealing and the cosmetic pass on residual stresses

Figure 25. Sample X453. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Annealing temperature 170 ºC, cosmetic pass.

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Figure 26. Sample X453. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Annealing temperature 170 ºC, cosmetic pass.

Figure 27. Sample X453. Residual stress profiles of the shear stress (τ xy) on the top surface. Annealing temperature 170 ºC, cosmetic pass.

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Figure 28. Sample X453. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Annealing temperature 170 ºC, cosmetic pass.

Figure 29. Sample X453. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Annealing temperature 170 ºC, cosmetic pass.

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Figure 30. Sample X453. Residual stress profiles of the shear stress (τ xy) on the lower surface. Annealing temperature 170 ºC, cosmetic pass.

Figure 31. Sample X454. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Annealing temperature 250 ºC, cosmetic pass.

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Figure 32. Sample X454. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Annealing temperature 250 ºC, cosmetic pass.

Figure 33. Sample X454. Residual stress profiles of the shear stress (τ xy) on the top surface. Annealing temperature 250 ºC, cosmetic pass.

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Figure 34. Sample X454. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Annealing temperature 250 ºC, cosmetic pass.

Figure 35. Sample X454. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Annealing temperature 250 ºC, cosmetic pass.

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Figure 36. Sample X454 Residual stress profiles of the shear stress (τ xy) on the lower surface. Annealing temperature 250 ºC, cosmetic pass.

Figure 37. Sample X455. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Annealing temperature 200 ºC, cosmetic pass.

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Figure 38. Sample X455. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Annealing temperature 200 ºC, cosmetic pass.

Figure 39. Sample X455 Residual stress profiles of the shear stress (τ xy) on the top surface. Annealing temperature 200 ºC, cosmetic pass.

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Figure 40. Sample X455. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Annealing temperature 200 ºC, cosmetic pass.

Figure 41. Sample X455. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Annealing temperature 200 ºC, cosmetic pass.

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Figure 42. Sample X455 Residual stress profiles of the shear stress (τ xy) on the lower surface. Annealing temperature 200 ºC, cosmetic pass.

Figure 43. Sample X456. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Annealing temperature 0 ºC, cosmetic pass.

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Figure 44. Sample X456. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Annealing temperature 0 ºC, cosmetic pass.

Figure 45. Sample X456 Residual stress profiles of the shear stress (τ xy) on the top surface. Annealing temperature 0 ºC, cosmetic pass.

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Figure 46. Sample X456. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Annealing temperature 0 ºC, cosmetic pass.

Figure 47. Sample X456. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Annealing temperature 0 ºC, cosmetic pass.

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Figure 48. Sample X456 Residual stress profiles of the shear stress (τ xy) on the lower surface. Annealing temperature 0 ºC, cosmetic pass.

Figure 49. Sample X457. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Annealing temperature 200 ºC, no cosmetic pass.

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Figure 50. Sample X457. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Annealing temperature 200 ºC, no cosmetic pass.

Figure 51. Sample X457. Residual stress profiles of the shear stress (τ xy) on the top surface. Annealing temperature 200 ºC, no cosmetic pass.

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Figure 52. Sample X457. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Annealing temperature 200 ºC, no cosmetic pass.

Figure 53. Sample X457. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Annealing temperature 200 ºC, no cosmetic pass.

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Figure 54. Sample X457. Residual stress profiles of the shear stress (τ xy) on the lower surface. Annealing temperature 200 ºC, no cosmetic pass.

Figure 55. Sample X458. Residual stress profiles of the weld transverse directions (σ xx) on the top surface. Annealing temperature 0 ºC, no cosmetic pass.

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Figure 56. Sample X458. Residual stress profiles of the weld longnitudinal directions (σ yy) on the top surface. Annealing temperature 0 ºC, no cosmetic pass.

Figure 57. Sample X458. Residual stress profiles of the shear stress (τ xy) on the top surface. Annealing temperature 0 ºC, no cosmetic pass.

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Figure 58. Sample X458. Residual stress profiles of the weld transverse directions (σ xx) on the lower surface. Annealing temperature 0 ºC, no cosmetic pass.

Figure 59. Sample X458. Residual stress profiles of the weld longnitudinal directions (σ yy) on the lower surface. Annealing temperature 0 ºC, no cosmetic pass.

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Figure 60. Sample X458. Residual stress profiles of the shear stress (τ xy) on the lower surface. Annealing temperature 0 ºC, no cosmetic pass.

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5 SUMMARY

Measurements were performed using the Prism hole drilling instrument made by Stresstech Oy.

Eleven specimens were analyzed in this investigation. Measurements show that annealing heat treatment and the cosmetic pass do not have a big influence on residual stresses. Most of the measurements give tensile strengths from 0 MPa to 30 MPa. Stresses parallel to the weld were slightly higher than weld stresses in transverse direction. The machined surfaces have residual stress values above 30 MPa near the surface. It is very typical that machining changes surface-near stress values.

There are few distributions in which stresses are clearly over 40 MPa yield strength of the material as Figures 31 and 32. There are most probably something wrong in these measurements. Also high values in the higher depth are wrong. This is due to that sensitivity is less deaper ie went.

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REFERENCES

/1/ Stresstech Oy. Prism Technical Guide V. 2.0. 19 p.

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APPENDIX

All results are given in tabular form in the following. xx is the stress in horizontal, yy in vertical direction, Figure 6. 1 and 2 are the calculated principal stresses and angle θz describes the principal stress direction. The measurement positions can be seen in Figures 4 and 5. All stress calculations reported here used regularization, typically with a small factor of 0.05.

Table 4. Residual stress results on the sample X436, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐25  ‐53.8  ‐22.4  ‐12.8  ‐66  ‐28.63 

0.100  ‐11.4  ‐35.7  ‐25.8  5  ‐52.1  ‐32.39 

0.150  ‐13.1  5.2  ‐8.7  8.7  ‐16.6  ‐68.18 

0.200  12.7  7  ‐9.4  19.7  0  ‐36.58 

0.300  15.6  12.5  ‐2.3  16.8  11.3  ‐27.9 

0.400  14.9  12.1  ‐2.1  16  11  ‐27.9 

0.500  11.2  19.6  ‐6.3  22.9  7.9  ‐61.95 

0.600  25.3  12.4  1.2  25.4  12.3  5.36 

0.800  26.4  25.9  7.6  33.8  18.5  44.06 

1.000  30.1  23.9  7.1  34.7  19.3  33.18 

Table 5. Residual stress results on the sample X436, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐43.8  13.5  0.5  13.5  ‐43.8  89.49 

0.100  ‐36.9  28.6  17.6  33  ‐41.3  75.87 

0.150  ‐5.9  22.3  23.6  35.7  ‐19.3  60.42 

0.199  ‐10.9  42.8  14.6  46.5  ‐14.6  75.73 

0.300  18.9  23.5  8.6  30.1  12.3  52.52 

0.400  15.4  28.6  10.2  34.1  9.9  61.45 

0.500  20.2  15.7  9.5  27.7  8.2  38.34 

0.600  14.2  15.9  ‐0.7  16.1  14  ‐70.71 

0.800  24.4  21.1  1.1  24.7  20.8  17.08 

1.000  33.3  32.8  ‐0.7  33.8  32.3  ‐34.73 

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Table 6. Residual stress results on the sample X436, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐28.9  ‐66  ‐27.2  ‐14.5  ‐80.4  ‐27.85 

0.101  ‐11.5  ‐32.5  ‐15.7  ‐3.1  ‐40.9  ‐28.11 

0.150  ‐0.4  4.4  ‐16  18.2  ‐14.2  ‐49.31 

0.200  6  20.1  ‐6.6  22.7  3.4  ‐68.47 

0.300  11.6  17.6  ‐0.9  17.7  11.5  ‐81.45 

0.401  12.4  21.4  2.2  21.9  11.9  76.92 

0.500  9.1  25.6  8  28.9  5.8  67.94 

0.600  11.9  24.2  9.6  29.5  6.6  61.31 

0.800  7.4  28.9  10.2  33  3.4  68.23 

1.000  10.9  33.8  15.3  41.5  3.2  63.4 

Table 7. Residual stress results on the sample X436, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐36.2  7.6  ‐30.6  23.3  ‐51.9  ‐62.8 

0.100  ‐32.8  9.5  ‐9.6  11.6  ‐34.9  ‐77.82 

0.149  ‐21.8  16.2  4.5  16.7  ‐22.3  83.37 

0.200  ‐4.3  23.3  4.7  24.1  ‐5.1  80.68 

0.300  5.8  28  5.5  29.3  4.5  76.93 

0.400  11.7  35.7  7.2  37.7  9.7  74.54 

0.500  12.5  41.2  2  41.3  12.4  86.11 

0.600  15.7  33.8  ‐11.6  39.5  10  ‐63.98 

0.800  14.8  38.5  1.2  38.6  14.7  87.01 

1.000  25.4  29.8  ‐18.8  46.5  8.7  ‐48.34 

Table 8. Residual stress results on the sample X436, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐23.1  ‐38.8  ‐1.6  ‐22.9  ‐39  ‐5.83 

0.100  2.7  ‐14.1  ‐27.8  23.4  ‐34.7  ‐36.58 

0.150  16.7  14.5  ‐30.5  46.1  ‐14.9  ‐43.97 

0.199  26  23.2  ‐12.3  37  12.2  ‐41.75 

0.300  33  16  ‐13.1  40.1  8.9  ‐28.51 

0.400  29  10  ‐11.7  34.6  4.4  ‐25.46 

0.501  13  14.3  ‐9.4  23  4.3  ‐46.99 

0.600  19  8.7  ‐8  23.3  4.3  ‐28.56 

0.800  18.7  24.4  ‐6.9  29  14.1  ‐56.25 

1.000  34.1  37.5  ‐9.7  45.6  26  ‐49.99 

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Table 9. Residual stress results on the sample X436, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐29.1  0.4  ‐4.5  1.1  ‐29.8  ‐81.46 

0.100  ‐27.6  ‐5.1  0.9  ‐5.1  ‐27.6  87.64 

0.150  ‐32.8  17.9  8.3  19.2  ‐34.1  80.95 

0.200  ‐9.1  14.8  4.7  15.7  ‐9.9  79.35 

0.300  9.1  21.1  3.9  22.2  7.9  73.63 

0.400  13.3  44.8  8  46.7  11.4  76.58 

0.500  30.9  38.6  7.6  43.3  26.2  58.42 

0.600  11.5  37.2  3.9  37.8  10.9  81.48 

0.800  19.6  21.8  ‐1.2  22.3  19.1  ‐66.86 

1.000  33.5  51.4  2.8  51.8  33.1  81.4 

Table 10. Residual stress results on the sample X437, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa Mpa MPa °

0.050  ‐30.2  ‐50.7  ‐13.7  ‐23.3  ‐57.6  ‐26.6 

0.100  ‐15.4  ‐37.5  ‐13.4  ‐9.1  ‐43.8  ‐25.25 

0.150  ‐4.5  ‐13.6  ‐8.6  0.7  ‐18.8  ‐31.07 

0.200  2.9  3  1.7  4.6  1.3  45.95 

0.300  6  7.8  ‐0.1  7.8  6  ‐88.22 

0.400  10.8  11.2  ‐0.5  11.5  10.5  ‐56.77 

0.500  17.1  22.6  1  22.8  16.9  80.42 

0.600  12.6  31.3  0.9  31.3  12.6  87.36 

0.800  22.5  18.9  8.3  29.2  12.2  38.87 

1.000  29.7  20.2  6.3  32.8  17.1  26.51 

Table 11. Residual stress results on the sample X437, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐31.5  5.4  ‐5.4  6.2  ‐32.3  ‐81.8 

0.100  ‐31.4  14.4  0.1  14.4  ‐31.4  89.91 

0.150  ‐13.3  14.6  ‐3  14.9  ‐13.6  ‐83.91 

0.200  ‐14.7  33.3  1.2  33.3  ‐14.7  88.63 

0.300  2.5  28.1  7.6  30.2  0.4  74.64 

0.400  8.1  26.3  7.1  28.7  5.7  71.05 

0.500  17.6  18.9  6.7  24.9  11.6  47.79 

0.600  13.3  25.5  6.4  28.3  10.5  66.75 

0.799  15.8  19.6  3  21.3  14.1  61.13 

1.000  17.8  10.8  ‐2.3  18.5  10.1  ‐16.43 

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Table 12. Residual stress results on the sample X437, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐46.2  ‐8.2  ‐15  ‐3  ‐51.4  ‐70.87 

0.101  ‐29.3  ‐12.3  ‐7.5  ‐9.5  ‐32.1  ‐69.25 

0.150  ‐3.5  ‐14.7  ‐1.9  ‐3.1  ‐15  ‐9.51 

0.200  ‐8.8  16.2  ‐2.1  16.4  ‐9  ‐85.23 

0.300  6.8  19  5.4  21  4.7  69.26 

0.400  8.1  22.7  11.3  28.9  2  61.42 

0.499  11.2  23.5  12.9  31.6  3.1  57.74 

0.599  9  31.2  14.9  38.7  1.5  63.32 

0.800  4.7  26.7  16.8  35.8  ‐4.4  61.59 

1.000  ‐10.1  24.2  25.4  37.7  ‐23.6  62.01 

Table 13. Residual stress results on the sample X437, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐25.4  0.1  ‐12.8  5.4  ‐30.7  ‐67.43 

0.100  ‐34.7  18.1  ‐9.1  19.6  ‐36.2  ‐80.53 

0.150  ‐26.4  28.3  ‐0.7  28.3  ‐26.4  ‐89.3 

0.201  ‐4.3  25.3  0.4  25.3  ‐4.3  89.16 

0.300  8.7  26.6  11.7  32.4  2.9  63.74 

0.400  12  31.6  11.4  36.8  6.8  65.34 

0.500  16.2  32.7  6.1  34.7  14.2  71.83 

0.600  14.1  36.3  ‐2.1  36.5  13.9  ‐84.59 

0.800  17.7  35  2.5  35.3  17.4  82.09 

1.000  14.8  34.9  0.2  34.9  14.8  89.55 

Table 14. Residual stress results on the sample X437, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐30.7  ‐24.7  ‐6.9  ‐20.2  ‐35.2  ‐56.75 

0.100  ‐24.3  ‐15.3  ‐4.3  ‐13.6  ‐26  ‐68.12 

0.151  ‐11.1  ‐3  ‐5.6  ‐0.2  ‐14  ‐62.86 

0.200  ‐11.1  24.6  ‐3.4  24.9  ‐11.4  ‐84.69 

0.300  15.4  16.2  ‐1.1  17  14.6  ‐54.99 

0.399  11.9  22.5  0.1  22.5  11.9  89.58 

0.500  5.7  21.9  ‐0.9  21.9  5.6  ‐86.97 

0.600  16.1  4.2  2.9  16.8  3.5  12.85 

0.800  6  23.1  0.4  23.1  6  88.74 

1.000  19.2  19.6  4.2  23.6  15.2  46.35 

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Table 15. Residual stress results on the sample X437, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐8.5  11.3  ‐8.1  14.2  ‐11.4  ‐70.35 

0.100  ‐23  23.2  6.3  24  ‐23.8  82.38 

0.150  ‐24.7  22  10.8  24.4  ‐27.1  77.59 

0.199  ‐10.6  9.3  11.8  14.8  ‐16.1  65.08 

0.300  ‐8.8  17.8  12.4  22.7  ‐13.7  68.51 

0.400  4  14.6  10  20.6  ‐2.1  59.02 

0.500  6.2  25  7.1  27.4  3.8  71.43 

0.600  10.8  24.1  5  25.7  9.2  71.67 

0.800  7.2  22.3  4.7  23.6  5.8  74.07 

1.000  12  22.9  8  27.1  7.8  62.18 

Table 16. Residual stress results on the sample X438, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐27.2  ‐32.9  ‐15.2  ‐14.6  ‐45.5  ‐39.69 

0.100  ‐6.3  ‐36.9  ‐14.9  ‐0.2  ‐42.9  ‐22.1 

0.149  0  ‐13.4  ‐5.1  1.7  ‐15.1  ‐18.6 

0.200  3.4  8.2  ‐7.3  13.5  ‐1.9  ‐54.09 

0.300  7.9  12.6  ‐2  13.3  7.1  ‐69.88 

0.400  11.1  10.6  ‐2.6  13.4  8.3  ‐42.21 

0.500  9.1  16.1  ‐0.6  16.2  9.1  ‐84.85 

0.600  13.5  5.9  ‐2.7  14.4  5  ‐17.9 

0.800  19.2  13.2  4.9  22  10.4  29.29 

0.999  32.6  37.2  12.4  47.5  22.3  50.25 

Table 17. Residual stress results on the sample X438, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐57.2  18.8  ‐0.4  18.8  ‐57.2  ‐89.7 

0.100  ‐42.6  26.1  19.5  31.2  ‐47.7  75.21 

0.149  ‐12.3  21.3  18.7  29.6  ‐20.6  65.97 

0.200  ‐2.4  25  12.1  29.6  ‐6.9  69.25 

0.300  13.7  7.6  6.5  17.8  3.5  32.33 

0.400  4.6  6.4  5.9  11.4  ‐0.4  49.53 

0.500  12.1  ‐1.1  20.5  27  ‐16  36.1 

0.600  9.2  11.3  2.6  13.1  7.4  55.78 

0.800  21.7  14.6  2.3  22.4  13.9  16.24 

1.000  17.4  19.1  4.6  22.9  13.6  50.23 

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Table 18. Residual stress results on the sample X438, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐43.4  ‐47.8  ‐25.2  ‐20.3  ‐70.9  ‐42.51 

0.101  ‐46  ‐14.7  ‐16.4  ‐7.7  ‐53  ‐66.83 

0.150  ‐14.5  ‐6.6  ‐12.7  2.7  ‐23.9  ‐53.63 

0.200  4.8  7.9  ‐5  11.5  1.1  ‐53.71 

0.301  ‐0.8  33.1  2.2  33.2  ‐0.9  86.25 

0.400  9.2  25.6  6.5  27.9  6.9  70.76 

0.501  9.2  23.1  16.8  34.3  ‐2  56.22 

0.600  9.8  28.6  16.5  38.2  0.2  59.82 

0.800  13.5  32.6  18.6  44  2.1  58.59 

1.000  18.5  39.9  20  51.9  6.5  59.07 

Table 19. Residual stress results on the sample X438, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐53.3  ‐7.3  1  ‐7.3  ‐53.3  88.7 

0.100  ‐46.3  12.7  33.9  28.1  ‐61.7  65.52 

0.150  ‐26.9  20.3  32.4  36.8  ‐43.4  63.03 

0.200  ‐7.6  17.4  6.9  19.2  ‐9.4  75.5 

0.300  9.6  16.2  15.2  28.4  ‐2.7  51.14 

0.400  12.6  29.8  12  36  6.4  62.81 

0.500  19.2  26.7  6  30  15.9  61.05 

0.600  26.1  27.1  9  35.6  17.6  46.6 

0.800  21.8  37.7  5.8  39.6  19.9  71.94 

1.000  16.8  34.4  7.1  36.9  14.3  70.51 

Table 20. Residual stress results on the sample X438, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐13.3  ‐44.9  ‐5.8  ‐12.3  ‐45.9  ‐10.06 

0.100  ‐8.2  ‐27.3  ‐14.8  ‐0.1  ‐35.4  ‐28.57 

0.149  4.8  ‐9.4  ‐5  6.4  ‐11  ‐17.6 

0.200  8.2  13.5  ‐1  13.7  8  ‐79.92 

0.300  16.3  18.7  ‐9  26.6  8.4  ‐48.81 

0.400  23.9  18.1  ‐10.5  31.9  10.1  ‐37.28 

0.499  19.4  16.2  ‐0.1  19.4  16.2  ‐2.07 

0.600  17.7  11.8  ‐4  19.7  9.8  ‐26.62 

0.800  14.4  18.8  1.2  19.1  14.1  76 

1.000  18.8  26.6  ‐0.4  26.6  18.8  ‐87.03 

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Table 21. Residual stress results on the sample X438, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐35.2  ‐19.5  ‐26.3  0.1  ‐54.8  ‐53.31 

0.100  ‐34.4  10  27.4  23.1  ‐47.5  64.51 

0.150  ‐24.9  31.5  30.9  45.1  ‐38.5  66.19 

0.200  7.8  18.8  13  27.4  ‐0.8  56.44 

0.300  5.2  41.4  20.9  50.9  ‐4.4  65.46 

0.400  18  34.2  28.7  55.9  ‐3.7  52.88 

0.500  7.1  10.7  9.8  18.8  ‐1.1  50.27 

0.600  ‐16.3  ‐10.3  ‐5.2  ‐7.3  ‐19.3  ‐59.92 

0.800  ‐20.3  ‐15.8  15.3  ‐2.6  ‐33.5  49.18 

1.001  49.7  ‐37.9  ‐95.2  110.7  ‐98.9  ‐32.65 

Table 22. Residual stress results on the sample X438, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  46.5  97.3  ‐77.3  153.3  ‐9.5  ‐54.1 

0.100  30.5  58.9  ‐97.8  143.5  ‐54.1  ‐49.13 

0.150  28.1  0.7  ‐65.3  81.1  ‐52.3  ‐39.07 

0.200  ‐6.2  11.5  ‐19.5  24.1  ‐18.8  ‐57.2 

0.299  2.7  1.8  ‐26.7  28.9  ‐24.5  ‐44.5 

0.399  0  ‐3.1  ‐43.3  41.8  ‐44.9  ‐43.96 

0.500  4.5  ‐1.9  ‐24.3  25.8  ‐23.2  ‐41.24 

0.600  10.5  3.6  ‐11.2  18.8  ‐4.7  ‐36.45 

0.800  16.6  5.3  ‐38.7  50.1  ‐28.2  ‐40.85 

1.000  15.5  12.5  ‐22  36.1  ‐8.1  ‐43.05 

Table 23. Residual stress results on the sample X438, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  72.4  113  65  160.8  24.6  53.67 

0.100  49.5  77.7  101  165.6  ‐38.4  48.97 

0.150  29.9  31.2  76.8  107.4  ‐46.3  45.24 

0.200  19.2  ‐4.3  30.1  39.8  ‐24.8  34.35 

0.300  0.4  3.5  28.4  30.4  ‐26.5  46.55 

0.400  5.2  6.9  55.6  61.7  ‐49.6  45.45 

0.499  11.1  2.2  35.1  42  ‐28.7  41.4 

0.600  2.6  12.6  35.1  43.1  ‐27.8  49.04 

0.800  11  9  37.3  47.3  ‐27.3  44.22 

1.000  10.3  16.1  47.4  60.7  ‐34.3  46.75 

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Table 24. Residual stress results on the sample X438, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐122  5.1  ‐62.9  31  ‐147.9  ‐67.65 

0.100  ‐92.2  14.3  ‐79.1  56.4  ‐134.3  ‐61.97 

0.150  ‐28.3  ‐4.6  ‐47.1  32.1  ‐65  ‐52.06 

0.200  ‐54.2  42.5  ‐37.4  55.3  ‐67  ‐71.14 

0.300  ‐17.5  12.8  ‐24.5  26.5  ‐31.2  ‐60.87 

0.400  ‐24.8  14.8  ‐30.5  31.4  ‐41.4  ‐61.5 

0.500  ‐21.6  5.9  ‐28.6  23.9  ‐39.6  ‐57.82 

0.600  ‐18.1  17.2  ‐26.7  31.6  ‐32.5  ‐61.73 

0.800  ‐8.6  27.6  ‐32.4  46.6  ‐27.6  ‐59.59 

1.000  ‐13.4  25.1  ‐43.3  53.2  ‐41.5  ‐56.98 

Table 25. Residual stress results on the sample X438, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐137  111  73.6  131.2  ‐157.2  74.65 

0.100  ‐82.2  53.8  80.9  91.5  ‐119.9  65.02 

0.150  ‐47.3  19.9  67.9  62.1  ‐89.5  58.16 

0.199  ‐63  40  47.8  58.8  ‐81.8  68.57 

0.299  ‐42.4  22.9  37.3  39.8  ‐59.3  65.6 

0.400  ‐38.8  22.1  52  51.9  ‐68.6  60.18 

0.500  ‐3.8  4.6  26.6  27.3  ‐26.5  49.48 

0.600  ‐31.2  28.1  37.2  46  ‐49.1  64.28 

0.799  ‐23.4  12.8  31.1  30.7  ‐41.3  60.1 

1.000  ‐29.1  12.6  30.5  28.7  ‐45.2  62.18 

Table 26. Residual stress results on the sample X438, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐110  41.7  23.6  45.3  ‐113.6  81.36 

0.100  ‐104  18  63.2  44.8  ‐130.8  66.99 

0.150  ‐81.9  ‐8.3  57.7  23.3  ‐113.5  61.26 

0.200  ‐47.9  ‐28.5  28.1  ‐8.5  ‐67.9  54.52 

0.300  ‐56.2  11.2  37.8  28.1  ‐73.1  65.86 

0.401  ‐23.9  12.8  27.7  27.7  ‐38.8  61.76 

0.500  ‐12.5  15.3  24.3  29.4  ‐26.6  59.89 

0.599  ‐29.2  25.5  22.3  33.4  ‐37.1  70.4 

0.799  ‐23  18  24.8  29.7  ‐34.7  64.79 

1.000  ‐16.7  33.2  26.7  44.8  ‐28.3  66.53 

Page 61: Residual Stress Measurement of Electron Beam Welded Copper

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Table 27. Residual stress results on the sample X438, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐69.6  21  ‐66.5  56.2  ‐104.8  ‐62.13 

0.100  ‐47.4  41.8  ‐87.4  95.3  ‐100.9  ‐58.52 

0.150  ‐29.8  45.8  ‐54.7  74.5  ‐58.5  ‐62.32 

0.200  ‐25.8  1.8  ‐38.8  29.2  ‐53.2  ‐54.78 

0.300  ‐26.3  16.4  ‐37.4  38.1  ‐48  ‐59.86 

0.400  ‐19.1  15  ‐37.5  39.1  ‐43.2  ‐57.22 

0.501  ‐11.7  20.8  ‐33.6  41.9  ‐32.8  ‐57.9 

0.600  ‐11.3  6.1  ‐34.7  33.1  ‐38.4  ‐52.02 

0.801  ‐15  29.3  ‐29.3  43.9  ‐29.6  ‐63.54 

1.000  ‐12.3  18.2  ‐29.7  36.3  ‐30.4  ‐58.59 

Table 28. Residual stress results on the sample X439, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐87.5  ‐17.6  ‐31.5  ‐5.5  ‐99.6  ‐68.99 

0.100  ‐39.9  ‐19.1  ‐15.5  ‐10.8  ‐48.2  ‐61.93 

0.149  ‐27  26  ‐6.8  26.9  ‐27.9  ‐82.81 

0.200  0.2  35.4  ‐2  35.5  0  ‐86.7 

0.300  16.7  24.1  ‐9.1  30.3  10.5  ‐56.03 

0.400  10.3  24.2  ‐8.5  28.2  6.3  ‐64.6 

0.500  5  18.2  ‐7.7  21.7  1.5  ‐65.29 

0.600  6.4  14  ‐7.9  19  1.4  ‐57.88 

0.800  14.9  17.8  ‐9.3  25.7  7  ‐49.45 

1.000  21.3  23.2  ‐6.9  29.3  15.2  ‐48.9 

Table 29. Residual stress results on the sample X439, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐24.6  7.5  ‐19.4  16.6  ‐33.7  ‐64.8 

0.101  ‐34.1  22  ‐10.5  23.9  ‐36  ‐79.74 

0.150  ‐26.6  26.6  ‐2.7  26.7  ‐26.7  ‐87.09 

0.200  ‐16.4  27.3  ‐4.1  27.7  ‐16.8  ‐84.75 

0.299  ‐1.4  18  8.6  21.3  ‐4.6  69.22 

0.400  7.5  19.3  8.8  24  2.8  61.97 

0.500  15.7  16.5  10  26.1  6.1  46.15 

0.600  13.7  21.1  4.8  23.4  11.4  63.96 

0.800  19.4  24.8  11.2  33.6  10.6  51.78 

1.000  29  32.1  15.2  45.8  15.3  47.91 

Page 62: Residual Stress Measurement of Electron Beam Welded Copper

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Table 30. Residual stress results on the sample X439, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐35.8  ‐2.6  21.8  8.2  ‐46.6  63.63 

0.100  ‐43.3  24.5  17.2  28.6  ‐47.4  76.55 

0.150  ‐10.9  12.8  9  15.8  ‐13.9  71.39 

0.199  0.5  12.1  18.4  25.6  ‐13  53.72 

0.300  2.5  16.7  3.6  17.5  1.6  76.69 

0.400  2.8  34.5  ‐9.8  37.3  0  ‐74.07 

0.500  6.3  33.3  ‐11  37.2  2.4  ‐70.43 

0.600  7.3  24.8  ‐16.1  34.4  ‐2.3  ‐59.26 

0.800  3.3  26  ‐19.2  36.9  ‐7.7  ‐60.31 

1.000  2.3  27.2  ‐16.8  35.7  ‐6.1  ‐63.26 

Table 31. Residual stress results on the sample X439, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐32.3  4.5  ‐17.2  11.3  ‐39.1  ‐68.46 

0.100  ‐36.2  15.4  ‐8.6  16.8  ‐37.6  ‐80.78 

0.150  ‐27  17.5  ‐2.3  17.6  ‐27.1  ‐87 

0.200  ‐13.3  18.7  4.2  19.3  ‐13.9  82.58 

0.300  1.1  21.4  0.2  21.4  1.1  89.35 

0.400  ‐1.2  30.7  ‐3  31  ‐1.5  ‐84.69 

0.500  18  10.3  6.1  21.3  7  28.79 

0.600  6.7  38.5  3.5  38.9  6.3  83.84 

0.799  24  26.4  2.2  27.7  22.7  59.53 

1.000  16  39.8  2.5  40  15.8  84.18 

Table 32. Residual stress results on the sample X439, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐10.7  ‐37.5  ‐15.4  ‐3.7  ‐44.5  ‐24.49 

0.100  ‐4.4  0.3  ‐21.4  19.5  ‐23.6  ‐48.09 

0.150  10.4  22.4  ‐11.1  29  3.8  ‐59.2 

0.200  23.4  18.6  13.6  34.8  7.2  40 

0.300  20.6  10.4  ‐18.5  34.7  ‐3.7  ‐37.29 

0.400  18.3  ‐9.9  ‐20.2  28.8  ‐20.5  ‐27.53 

0.500  4.1  ‐0.9  0.7  4.2  ‐1  8.34 

0.600  13.9  ‐4  ‐6.7  16.1  ‐6.2  ‐18.42 

0.800  38.3  51.1  ‐3.8  52.1  37.3  ‐74.78 

1.000  113  121  ‐16.2  133.7  100.3  ‐51.93 

Page 63: Residual Stress Measurement of Electron Beam Welded Copper

55  

Table 33. Residual stress results on the sample X439, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐49  ‐24.6  5.6  ‐23.4  ‐50.2  77.73 

0.100  ‐36.6  ‐4.1  7.3  ‐2.5  ‐38.2  77.85 

0.150  ‐12.4  15  1.4  15.1  ‐12.5  87.08 

0.200  2.8  28.6  5.2  29.6  1.7  79.06 

0.300  25  17.5  19.3  40.9  1.6  39.5 

0.400  17.5  22.2  14.5  34.5  5.2  49.6 

0.500  13.6  11.1  13.1  25.5  ‐0.8  42.27 

0.599  23.1  ‐3.3  8.8  25.8  ‐6  16.82 

0.800  12.1  30.7  10.4  35.4  7.4  65.9 

1.000  31.5  35.1  14  47.4  19.2  48.66 

Table 34. Residual stress results on the sample X440, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐18.3  ‐40.1  ‐17.9  ‐8.2  ‐50.2  ‐29.33 

0.101  9  ‐35.5  ‐23  18.8  ‐45.2  ‐22.97 

0.150  0.6  13  ‐23.5  31.1  ‐17.5  ‐52.38 

0.200  19.8  21.9  ‐21  41.9  ‐0.2  ‐46.43 

0.299  25.9  10.5  ‐16.4  36.3  0.1  ‐32.42 

0.399  9.3  15.3  ‐9.6  22.4  2.2  ‐53.64 

0.500  20.3  15.5  ‐4.2  22.7  13.1  ‐30.1 

0.600  23.6  18.9  ‐0.7  23.7  18.8  ‐8.06 

0.800  21.9  26.8  ‐2.3  27.7  21  ‐68.47 

1.000  40.1  35.7  3.2  41.8  34  27.87 

Table 35. Residual stress results on the sample X440, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐42.5  26.6  ‐27.6  36.3  ‐52.2  ‐70.69 

0.100  ‐47.3  36.6  ‐21.2  41.7  ‐52.4  ‐76.59 

0.150  ‐14.1  20.7  ‐8  22.4  ‐15.8  ‐77.72 

0.199  ‐6.5  28.1  ‐7.4  29.6  ‐8.1  ‐78.42 

0.300  14.9  26.3  ‐0.8  26.4  14.8  ‐85.92 

0.400  8.9  28  ‐4.1  28.8  8  ‐78.35 

0.500  10.4  11.4  ‐3.8  14.7  7.1  ‐48.77 

0.600  10.4  24.1  ‐5.8  26.2  8.3  ‐69.95 

0.800  24.2  21.6  ‐6.9  29.9  15.9  ‐39.65 

1.000  25.2  32.9  ‐6  36.2  21.9  ‐61.32 

Page 64: Residual Stress Measurement of Electron Beam Welded Copper

56  

Table 36. Residual stress results on the sample X440, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐29  ‐45.2  ‐18.1  ‐17.3  ‐56.9  ‐32.95 

0.100  ‐16.3  ‐29.5  ‐23.5  1.5  ‐47.3  ‐37.16 

0.150  1.2  ‐10.1  ‐12.3  9.1  ‐18  ‐32.65 

0.200  13.2  6.8  ‐8.2  18.8  1.2  ‐34.38 

0.300  5.5  33.4  ‐9.7  36.5  2.5  ‐72.55 

0.399  10.3  27.7  ‐2.1  27.9  10.1  ‐83.37 

0.500  2.9  30.8  ‐0.3  30.8  2.9  ‐89.43 

0.600  8  38.1  0.2  38.1  8  89.57 

0.801  11.5  47.2  ‐1.2  47.2  11.5  ‐88.11 

1.000  18.8  52.9  3.8  53.3  18.4  83.77 

Table 37. Residual stress results on the sample X440, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐42.2  ‐3.6  ‐11.1  ‐0.6  ‐45.2  ‐75.06 

0.100  ‐44.8  13.5  ‐19.6  19.5  ‐50.8  ‐73.04 

0.150  ‐24.8  16.3  ‐11.3  19.2  ‐27.7  ‐75.6 

0.200  ‐3.6  14.8  0.3  14.8  ‐3.6  89.1 

0.300  2.4  29.9  ‐3.6  30.4  2  ‐82.67 

0.400  13.4  35.9  0.3  35.9  13.4  89.34 

0.500  19  36.8  ‐2.6  37.2  18.6  ‐81.86 

0.600  20.6  42.4  ‐1.8  42.6  20.4  ‐85.23 

0.800  24.3  45.1  3.2  45.6  23.8  81.5 

1.000  26.8  55.1  2.6  55.3  26.6  84.75 

Table 38. Residual stress results on the sample X440, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  5.9  ‐45.3  ‐12.2  8.6  ‐48.1  ‐12.75 

0.100  ‐2.4  1.7  ‐27.9  27.7  ‐28.3  ‐47.1 

0.150  6.5  18.1  ‐24.7  37.7  ‐13.1  ‐51.62 

0.200  12.7  20.2  ‐4.8  22.6  10.3  ‐63.91 

0.300  23.3  20.7  ‐17.3  39.3  4.7  ‐42.85 

0.399  25.9  28  ‐22.7  49.7  4.2  ‐46.32 

0.500  12.8  31.5  ‐5.4  32.9  11.4  ‐75.02 

0.600  18.9  30.1  ‐18.4  43.7  5.3  ‐53.46 

0.800  26.9  48.7  ‐2.9  49.1  26.5  ‐82.55 

1.000  50.6  81.3  ‐10  84.2  47.7  ‐73.52 

Page 65: Residual Stress Measurement of Electron Beam Welded Copper

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Table 39. Residual stress results on the sample X440, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐37.5  35  ‐28.5  44.9  ‐47.4  ‐70.91 

0.100  ‐40.1  31.1  ‐3.9  31.3  ‐40.3  ‐86.9 

0.149  ‐22.2  14.8  12.6  18.7  ‐26.1  72.87 

0.200  ‐4.5  10.7  0.2  10.7  ‐4.5  89.14 

0.300  8.4  37.2  ‐2.5  37.4  8.2  ‐85.03 

0.400  17.4  42  1.1  42  17.4  87.42 

0.499  16.6  44.8  10.5  48.3  13.1  71.66 

0.600  24.1  51.6  ‐6  52.8  22.9  ‐78.27 

0.799  33.6  61.7  1.7  61.8  33.5  86.55 

1.000  50.4  78.3  3.1  78.6  50.1  83.76 

Table 40. Residual stress results on the sample X453, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  0.5  ‐5.6  ‐31.7  29.3  ‐34.4  ‐42.24 

0.100  4.3  2.9  ‐24.8  28.4  ‐21.2  ‐44.21 

0.150  ‐1.4  12.9  ‐16.9  24.1  ‐12.6  ‐56.45 

0.200  4.4  5  ‐10.6  15.3  ‐5.9  ‐45.82 

0.300  8  0.9  ‐1.3  8.2  0.7  ‐9.89 

0.400  10.1  18.6  ‐4.6  20.6  8.1  ‐66.37 

0.501  22.9  19.2  7.9  29.2  12.9  38.41 

0.600  27.2  19.2  ‐9.2  33.2  13.2  ‐33.26 

0.800  18.2  23.7  1.6  24.1  17.8  74.9 

1.000  18.2  15.6  5.4  22.4  11.4  38.17 

Table 41. Residual stress results on the sample X453, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐19.9  13.6  ‐31.5  32.5  ‐38.8  ‐59 

0.100  ‐48.5  44.7  ‐14.8  47  ‐50.8  ‐81.19 

0.149  ‐14  18.6  ‐8.8  20.8  ‐16.2  ‐75.86 

0.200  ‐3.5  21.6  ‐0.5  21.6  ‐3.5  ‐88.76 

0.300  14.7  17.6  5.3  21.6  10.7  52.66 

0.399  2.4  34.4  ‐2  34.5  2.3  ‐86.42 

0.500  12.4  1.9  4.7  14.2  0.1  20.71 

0.600  5.4  14.6  1.9  15  5  78.89 

0.800  26.9  28.6  ‐2.2  30.1  25.4  ‐55.48 

1.000  32.6  57.3  5.4  58.4  31.5  78.17 

Page 66: Residual Stress Measurement of Electron Beam Welded Copper

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Table 42. Residual stress results on the sample X453, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐1.1  ‐41.8  ‐26.9  12.3  ‐55.2  ‐26.44 

0.100  ‐16  ‐3  ‐15.8  7.6  ‐26.6  ‐56.2 

0.150  ‐2.6  2.1  ‐12.8  12.7  ‐13.3  ‐50.18 

0.200  12.2  2  ‐5  14.2  0  ‐22.19 

0.300  ‐1.3  30.1  ‐5.7  31.1  ‐2.3  ‐80.01 

0.400  9.5  21.2  ‐0.2  21.2  9.5  ‐88.83 

0.499  ‐1.1  45.4  ‐0.2  45.4  ‐1.1  ‐89.71 

0.600  7.4  38.5  3.4  38.9  7  83.8 

0.799  12.3  47.9  7.4  49.4  10.8  78.78 

1.000  16.4  54.7  12.6  58.5  12.6  73.33 

Table 43. Residual stress results on the sample X453, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐18.6  14.6  ‐0.1  14.6  ‐18.6  ‐89.8 

0.100  ‐32.7  23.4  ‐9.2  24.9  ‐34.2  ‐80.88 

0.149  ‐23.6  22.3  ‐5.3  22.9  ‐24.2  ‐83.51 

0.200  ‐1.5  24.9  2.2  25.1  ‐1.6  85.28 

0.300  8.5  39.6  ‐2.5  39.8  8.3  ‐85.4 

0.400  13.2  45.4  0.8  45.4  13.2  88.57 

0.500  13.8  55.5  8.4  57.1  12.2  79.06 

0.600  15  60  5.3  60.6  14.4  83.42 

0.800  20.7  47.9  4.3  48.6  20  81.3 

1.000  11.2  52.4  7  53.6  10  80.62 

Table 44. Residual stress results on the sample X453, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐46.7  3  ‐11.4  5.5  ‐49.2  ‐77.67 

0.100  ‐12.5  ‐2.8  ‐16.9  10  ‐25.2  ‐53.04 

0.150  ‐1.8  23.3  ‐20.5  34.8  ‐13.3  ‐60.75 

0.200  23.9  17  ‐10.5  31.5  9.4  ‐35.91 

0.300  16.3  25.7  ‐10  32  10  ‐57.59 

0.400  9.5  29.4  ‐2.8  29.8  9.1  ‐82.29 

0.500  19.7  30.1  ‐1.8  30.4  19.4  ‐80.65 

0.599  22.9  44.8  ‐14.1  51.7  16  ‐63.92 

0.801  22.2  57.9  ‐12.9  62.1  18  ‐72.07 

1.001  20.3  49.8  4  50.3  19.8  82.49 

Page 67: Residual Stress Measurement of Electron Beam Welded Copper

59  

Table 45. Residual stress results on the sample X453, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐11.1  ‐1.6  ‐9.5  4.3  ‐17  ‐58.31 

0.100  ‐24.9  14.3  ‐7.8  15.8  ‐26.4  ‐79.21 

0.150  ‐8.2  7.3  ‐2.1  7.6  ‐8.5  ‐82.55 

0.199  ‐18.1  29.6  2.1  29.7  ‐18.2  87.53 

0.300  10.8  18.2  ‐1.5  18.5  10.5  ‐79.1 

0.400  17.6  34.5  ‐3  35  17.1  ‐80.23 

0.500  26.7  41.1  ‐2.6  41.5  26.3  ‐80.21 

0.600  15.7  46.1  ‐4.9  46.9  14.9  ‐81.13 

0.800  17.4  28.5  ‐3.6  29.6  16.3  ‐73.37 

1.000  15.1  31.9  ‐2.3  32.2  14.8  ‐82.31 

Table 46. Residual stress results on the sample X453, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  73.5  62.4  7.5  77.3  58.6  26.77 

0.099  62.3  28.5  ‐16.1  68.7  22.1  ‐21.81 

0.150  27.5  6  ‐21.6  40.9  ‐7.4  ‐31.75 

0.200  21.7  ‐15.6  ‐16.6  28  ‐21.9  ‐20.84 

0.300  8.3  ‐2.4  ‐18.9  22.6  ‐16.7  ‐37.13 

0.400  13.9  ‐5  ‐17.5  24.3  ‐15.5  ‐30.8 

0.500  9.2  ‐1.8  ‐17.3  21.9  ‐14.4  ‐36.18 

0.600  12  ‐4.8  ‐7.1  14.6  ‐7.4  ‐20.03 

0.800  9.5  4.8  ‐12.3  19.7  ‐5.4  ‐39.56 

1.000  13.4  6.4  ‐16.3  26.6  ‐6.8  ‐38.94 

Table 47. Residual stress results on the sample X453, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  114  97.8  48.9  155.5  56.3  40.3 

0.100  80.3  53.2  63  131.2  2.3  38.93 

0.150  23.1  27.2  57.2  82.4  ‐32.1  46.03 

0.200  17.3  ‐16.7  34.6  38.9  ‐38.3  31.92 

0.299  0.9  ‐10  29.9  25.8  ‐35  39.85 

0.399  ‐0.7  0.9  17  17.1  ‐16.9  46.32 

0.500  11.4  5.4  28.4  36.9  ‐20.2  41.98 

0.600  28.5  7.2  28  47.8  ‐12.1  34.57 

0.799  17.3  18.1  21.6  39.3  ‐3.9  45.53 

1.000  22.3  16.5  21.8  41.4  ‐2.6  41.21 

Page 68: Residual Stress Measurement of Electron Beam Welded Copper

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Table 48. Residual stress results on the sample X453, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  43  23.2  9.9  47.1  19.1  22.5 

0.100  56.1  1.8  5.6  56.7  1.2  5.87 

0.152  35.2  9.6  ‐0.3  35.2  9.6  ‐0.74 

0.200  20.5  5.3  ‐1.9  20.7  5.1  ‐7.06 

0.300  11.3  ‐7.3  2.8  11.7  ‐7.7  8.36 

0.400  4.6  ‐7.7  ‐0.1  4.6  ‐7.7  ‐0.3 

0.500  ‐1.6  1.3  ‐1.8  2.2  ‐2.4  ‐64.16 

0.600  6.9  ‐7.1  ‐1.3  7  ‐7.2  ‐5.3 

0.800  9.2  1.7  0.8  9.2  1.6  6.1 

1.000  22.4  13.3  ‐1.4  22.6  13.1  ‐8.38 

Table 49. Residual stress results on the sample X453, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐27.9  ‐46.6  14  ‐20.4  ‐54.1  28.13 

0.101  ‐45.3  ‐0.5  8.5  1  ‐46.8  79.67 

0.150  ‐11.8  ‐0.3  2.3  0.2  ‐12.2  79.26 

0.200  ‐10.8  15.7  8.5  18.2  ‐13.3  73.64 

0.300  ‐1.8  13.9  7.5  16.9  ‐4.8  68.2 

0.400  ‐11  3.5  ‐1.3  3.6  ‐11.1  ‐84.94 

0.499  ‐13.3  1.5  ‐1  1.6  ‐13.4  ‐86.31 

0.599  ‐10.2  11.9  4.5  12.8  ‐11.1  78.97 

0.800  ‐8.8  22.2  0.6  22.2  ‐8.8  88.83 

1.000  ‐4.6  11.3  2.9  11.8  ‐5.1  79.97 

Table 50. Residual stress results on the sample X453, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  23.7  62.5  ‐16.9  68.8  17.4  ‐69.47 

0.100  16.3  53  ‐12.4  56.8  12.5  ‐72.98 

0.150  17.9  28  ‐8.7  33  12.9  ‐60.1 

0.200  17.9  26.6  ‐3.8  28  16.5  ‐69.39 

0.300  15  38.8  ‐7.4  40.9  12.9  ‐74.08 

0.400  15.4  34.8  ‐5.2  36.1  14.1  ‐75.99 

0.500  19.1  25.3  ‐6.6  29.5  14.9  ‐57.53 

0.600  17.9  36.7  ‐3.6  37.4  17.2  ‐79.47 

0.800  29  47.2  ‐12  53.2  23  ‐63.59 

1.000  43.7  54.3  ‐5.2  56.4  41.6  ‐67.77 

Page 69: Residual Stress Measurement of Electron Beam Welded Copper

61  

Table 51. Residual stress results on the sample X453, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  12.1  15  ‐23  36.6  ‐9.5  ‐46.8 

0.100  ‐2.7  10.6  ‐19  24.1  ‐16.2  ‐54.62 

0.150  ‐14.3  ‐1.3  ‐5.6  0.7  ‐16.4  ‐69.67 

0.200  ‐17.7  ‐8.6  2.5  ‐7.9  ‐18.3  75.56 

0.300  ‐13.5  ‐12.1  ‐4.8  ‐8  ‐17.6  ‐49.16 

0.400  ‐3.3  ‐11.3  1.7  ‐2.9  ‐11.6  11.55 

0.500  ‐1  3.3  ‐3.4  5.2  ‐2.9  ‐61.21 

0.600  ‐1.5  1.4  3.4  3.7  ‐3.8  56.66 

0.800  ‐3.2  3.5  ‐4.1  5.5  ‐5.1  ‐64.65 

1.000  3.2  5  ‐3  7.2  0.9  ‐53.4 

Table 52. Residual stress results on the sample X454, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  25.7  ‐17.4  ‐21.9  34.9  ‐26.6  ‐22.73 

0.099  ‐31.4  35.5  ‐32.8  48.9  ‐44.8  ‐67.78 

0.150  47.5  ‐54.4  ‐5.4  47.8  ‐54.7  ‐3.01 

0.200  ‐1.8  2.1  ‐12.5  12.8  ‐12.5  ‐49.42 

0.299  5.9  17.8  ‐8.6  22.3  1.4  ‐62.43 

0.400  7.9  23.8  2  24  7.7  83.04 

0.500  11.1  1.8  ‐4.4  12.8  0.1  ‐21.62 

0.600  13.6  2.7  ‐11.4  20.8  ‐4.5  ‐32.18 

0.800  31.1  31.5  ‐5.9  37.2  25.4  ‐45.97 

1.000  84.6  57.4  ‐35.8  109.3  32.7  ‐34.6 

Table 53. Residual stress results on the sample X454, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  1.3  28.5  ‐3.8  29  0.7  ‐82.24 

0.101  ‐27.7  51.1  2.2  51.2  ‐27.8  88.42 

0.150  ‐23.2  35.5  8.2  36.6  ‐24.3  82.16 

0.200  12.6  ‐8.7  ‐9.3  16.1  ‐12.2  ‐20.57 

0.300  3.9  9.1  ‐15.7  22.4  ‐9.4  ‐49.71 

0.400  6  31.6  2  31.8  5.8  85.47 

0.500  20.9  26.2  9.6  33.5  13.6  52.75 

0.600  20.8  10.6  ‐8.1  25.3  6.1  ‐28.9 

0.800  20.5  13.7  2.2  21.1  13.1  16.21 

1.000  5.4  29.8  7.1  31.7  3.5  74.98 

Page 70: Residual Stress Measurement of Electron Beam Welded Copper

62  

Table 54. Residual stress results on the sample X454, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  5.1  ‐6  ‐5.4  7.3  ‐8.2  ‐22.16 

0.100  ‐13.2  8  ‐13.8  14.8  ‐20  ‐63.75 

0.150  ‐1.9  ‐8.1  ‐4.4  0.4  ‐10.4  ‐27.35 

0.200  ‐4.9  ‐0.9  ‐9.1  6.5  ‐12.2  ‐51.23 

0.300  3  9.8  ‐12.9  19.8  ‐6.9  ‐52.35 

0.400  ‐5.6  55.4  ‐6  56  ‐6.1  ‐84.41 

0.500  11.7  48.9  ‐17.3  55.7  4.9  ‐68.54 

0.600  11.6  48.6  ‐16.8  55.1  5.1  ‐68.88 

0.800  50.8  66.3  ‐8.5  70  47.1  ‐66.2 

1.000  109  198  ‐47.1  218.3  88.7  ‐66.69 

Table 55. Residual stress results on the sample X454, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐4  6.7  17.6  19.7  ‐17  53.39 

0.100  ‐12.7  20.6  ‐4.3  21.2  ‐13.3  ‐82.7 

0.149  ‐14  31.6  ‐14.2  35.7  ‐18.1  ‐74.04 

0.200  0.4  19.3  ‐30  41.3  ‐21.6  ‐53.74 

0.300  7.5  16.9  2.6  17.6  6.8  75.36 

0.400  16.1  26.9  ‐2.8  27.6  15.4  ‐76.21 

0.500  25  42.8  1.5  42.9  24.9  85.22 

0.600  32.9  88.8  ‐7.9  89.9  31.8  ‐82.08 

0.800  49  99.7  ‐19.7  106.5  42.2  ‐71.07 

0.999  38.5  42.6  3.4  44.5  36.6  60.58 

Table 56. Residual stress results on the sample X454, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐12.6  ‐12.1  ‐5.5  ‐6.9  ‐17.8  ‐46.31 

0.100  ‐2.7  ‐14.1  ‐5.7  ‐0.3  ‐16.4  ‐22.4 

0.150  ‐9.6  2.8  ‐2.2  3.2  ‐10  ‐80.18 

0.200  8.6  ‐5.4  ‐2.9  9.1  ‐6  ‐11.15 

0.300  2.2  11.9  ‐8  16.4  ‐2.3  ‐60.54 

0.400  5.5  19.2  ‐6.4  21.8  3  ‐68.35 

0.500  10.4  20  ‐5.3  22.4  8  ‐65.98 

0.600  9.4  32.6  ‐8.8  35.5  6.5  ‐71.47 

0.800  12.9  29.4  ‐4.7  30.6  11.7  ‐75.16 

1.000  7.9  40.3  ‐4.4  40.9  7.3  ‐82.4 

Page 71: Residual Stress Measurement of Electron Beam Welded Copper

63  

Table 57. Residual stress results on the sample X454, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐4.8  0.1  13  10.9  ‐15.6  50.32 

0.100  ‐17  29  7.6  30.2  ‐18.2  80.89 

0.150  8.2  10.9  8.7  18.4  0.7  49.48 

0.200  ‐3.1  22.4  3.4  22.9  ‐3.6  82.48 

0.300  9.2  6.8  6.7  14.8  1.2  40.03 

0.400  1.6  1.9  3.5  5.3  ‐1.7  46.23 

0.500  4.1  3.8  3.8  7.8  0.1  44.14 

0.600  32.3  14.1  8  35.3  11.1  20.71 

0.799  19.3  41.3  ‐0.1  41.3  19.3  ‐89.65 

1.000  14.5  16.2  ‐0.9  16.6  14.1  ‐66.79 

Table 58. Residual stress results on the sample X454, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  27.9  52.1  ‐14.6  59  21  ‐64.83 

0.099  9.9  22.7  9.9  28.1  4.5  61.39 

0.150  6.2  ‐5.4  13.4  15  ‐14.2  33.36 

0.200  ‐6.6  ‐4.8  7.2  1.5  ‐12.9  48.43 

0.300  4  ‐10.2  8.9  8.3  ‐14.5  25.77 

0.400  15.8  ‐15.2  20.4  25.9  ‐25.3  26.39 

0.500  ‐1.5  10  9.1  15.1  ‐6.5  61.04 

0.599  14.3  8.4  9.2  21  1.7  36.1 

0.800  26.6  21.7  13.9  38.3  10  40 

1.000  44  18.1  29.1  62.9  ‐0.8  33.01 

Table 59. Residual stress results on the sample X454, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  22.7  44  ‐48.3  82.8  ‐16.1  ‐51.22 

0.100  ‐12.3  44.5  ‐61.5  83.8  ‐51.6  ‐57.39 

0.150  ‐2.8  ‐6  ‐37.3  32.9  ‐41.8  ‐43.78 

0.200  ‐7.2  ‐14  ‐33.2  22.8  ‐44  ‐42.08 

0.299  ‐3.3  ‐3  ‐14.7  11.6  ‐17.8  ‐45.31 

0.400  0.5  6.2  ‐18.2  21.7  ‐15.1  ‐49.4 

0.500  12  8.5  ‐20.8  31.1  ‐10.6  ‐42.58 

0.600  11.5  13.5  ‐25.8  38.3  ‐13.3  ‐46.11 

0.800  10.1  13.2  ‐17.8  29.5  ‐6.2  ‐47.49 

1.000  12.4  4.5  ‐12.5  21.6  ‐4.6  ‐36.27 

Page 72: Residual Stress Measurement of Electron Beam Welded Copper

64  

Table 60. Residual stress results on the sample X454, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  5.8  49.9  ‐3.2  50.1  5.5  ‐85.85 

0.100  20.5  31.1  ‐9  36.2  15.4  ‐60.26 

0.150  16.6  33.9  ‐15.3  42.8  7.7  ‐59.74 

0.200  20.8  32.2  ‐13.4  41.1  11.9  ‐56.52 

0.300  20.7  35.7  0.1  35.7  20.7  89.69 

0.400  29.1  18.5  ‐10.8  35.8  11.8  ‐31.93 

0.500  15.3  27.6  ‐2  27.9  15  ‐81.12 

0.600  34.8  23  ‐11.2  41.6  16.2  ‐31.11 

0.800  33.9  37.7  ‐2.7  39.1  32.5  ‐62.67 

1.000  31.2  32.7  ‐10  42  21.9  ‐47.15 

Table 61. Residual stress results on the sample X454, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐79.8  23.2  ‐32.6  32.7  ‐89.3  ‐73.83 

0.100  ‐74.1  24.2  ‐25.2  30.3  ‐80.2  ‐76.43 

0.150  ‐35  6.9  ‐4  7.3  ‐35.4  ‐84.6 

0.200  ‐18.3  9.8  ‐5.5  10.8  ‐19.3  ‐79.35 

0.300  ‐11.1  12.7  ‐7.7  15  ‐13.4  ‐73.56 

0.401  ‐9.3  29.9  ‐7.1  31.1  ‐10.5  ‐80.08 

0.500  ‐5.5  30.8  ‐6.6  32  ‐6.6  ‐80.03 

0.600  1.4  23.4  ‐1.9  23.6  1.2  ‐85 

0.800  ‐3.2  34.8  ‐7.8  36.3  ‐4.7  ‐78.89 

1.000  9.6  37.4  ‐2.5  37.6  9.3  ‐84.85 

Table 62. Residual stress results on the sample X454, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐35.8  ‐68.7  2.9  ‐35.5  ‐69  5.07 

0.100  ‐41.3  ‐58.5  36.9  ‐12  ‐87.8  38.44 

0.150  ‐27.4  ‐58  44.9  4.7  ‐90.1  35.59 

0.201  ‐19.6  ‐25.1  21.6  ‐0.6  ‐44.1  41.37 

0.299  ‐3.3  1.9  6.2  6  ‐7.4  56.36 

0.400  10.2  10.6  7.9  18.3  2.5  45.73 

0.500  11.2  26.9  10.1  31.8  6.3  63.93 

0.600  33.1  27.1  5.8  36.6  23.6  31.28 

0.800  40.9  53.2  8.8  57.8  36.3  62.49 

0.999  50.2  59  7.1  63  46.2  60.86 

Page 73: Residual Stress Measurement of Electron Beam Welded Copper

65  

Table 63. Residual stress results on the sample X454, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐99.1  96.6  23.8  99.5  ‐102  83.16 

0.100  ‐28.4  16.9  18.2  23.3  ‐34.8  70.61 

0.150  ‐48  31.3  17.1  34.8  ‐51.5  78.34 

0.201  ‐15.4  14.7  3.1  15  ‐15.7  84.16 

0.300  ‐24.4  36.7  10.9  38.6  ‐26.3  80.18 

0.400  ‐18.4  24.5  16.1  29.9  ‐23.8  71.55 

0.500  ‐27.5  34.8  15.3  38.4  ‐31.1  76.92 

0.600  ‐25.2  41.9  16.1  45.6  ‐28.9  77.18 

0.799  ‐11.2  27.7  13.9  32.2  ‐15.7  72.22 

1.000  ‐23.8  38.4  19.8  44.2  ‐29.6  73.76 

Table 64. Residual stress results on the sample X455, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐2.5  ‐28.4  ‐26.3  13.8  ‐44.8  ‐31.91 

0.100  0.7  ‐11.8  ‐14.8  10.5  ‐21.6  ‐33.59 

0.151  8.3  ‐0.8  ‐4.2  9.9  ‐2.5  ‐21.31 

0.200  ‐1  13.4  ‐9.5  18.1  ‐5.7  ‐63.62 

0.300  0.7  11.4  ‐0.4  11.4  0.7  ‐87.92 

0.399  10.7  14.6  3.9  17  8.3  58.37 

0.499  13.5  15.5  ‐0.5  15.6  13.4  ‐77.39 

0.600  26.4  4.4  6.8  28.3  2.4  15.83 

0.799  21.4  25  4.8  28.3  18.1  55.34 

1.000  29.1  20.2  13.7  39.1  10.2  36  Table 65. Residual stress results on the sample X455, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐30  ‐0.8  0.4  ‐0.8  ‐30  89.25 

0.100  ‐29.1  19.9  14.2  23.7  ‐32.9  74.95 

0.150  ‐22.2  22.3  21.7  31.1  ‐31  67.86 

0.200  ‐3.4  12.4  13.9  20.5  ‐11.5  59.81 

0.300  15.8  11.9  9.6  23.6  4.1  39.24 

0.400  9.6  28.5  11.8  34.2  3.9  64.33 

0.500  21.5  6.7  1  21.6  6.6  3.87 

0.600  9.7  19.9  3.4  20.9  8.6  73.22 

0.799  26.8  22.3  3.6  28.8  20.3  29.07 

1.000  44.7  42.1  3  46.7  40.1  33.39 

Page 74: Residual Stress Measurement of Electron Beam Welded Copper

66  

Table 66. Residual stress results on the sample X455, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐11.2  ‐35.3  ‐25.3  4.8  ‐51.3  ‐32.27 

0.100  ‐6.1  ‐20.6  ‐9.7  ‐1.3  ‐25.4  ‐26.58 

0.150  ‐4.9  ‐3.5  ‐4.6  0.4  ‐8.8  ‐49.59 

0.200  ‐8.8  16.4  ‐2.2  16.6  ‐9  ‐85.08 

0.300  1.7  19.9  3.8  20.7  0.9  78.62 

0.400  5.1  24.6  ‐0.6  24.6  5.1  ‐88.1 

0.500  3.1  40.7  8.2  42.4  1.4  78.19 

0.600  17.1  43.8  9  46.6  14.3  73.01 

0.800  12.4  50.7  6.4  51.7  11.4  80.77 

1.000  9.4  52  7.4  53.3  8.1  80.4 

Table 67. Residual stress results on the sample X455, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐23.3  18.9  ‐16.6  24.6  ‐29  ‐70.9 

0.099  ‐43.8  43.8  1.2  43.8  ‐43.8  89.19 

0.150  ‐7.9  15.6  4.9  16.6  ‐8.8  78.73 

0.200  ‐17.3  30  ‐3  30.2  ‐17.5  ‐86.39 

0.300  9.6  13.4  8.2  19.9  3.1  51.62 

0.400  16.6  26  2.8  26.8  15.8  74.56 

0.500  5.6  56.3  1.4  56.3  5.5  88.41 

0.600  21  48  4.9  48.8  20.2  80.1 

0.800  19.4  47.4  3.9  47.9  18.9  82.2 

1.000  16.9  47.8  ‐3.8  48.3  16.4  ‐83.11  Table 68. Residual stress results on the sample X455, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐21.2  ‐6  ‐20.9  8.7  ‐35.8  ‐55.02 

0.100  ‐0.9  ‐16.8  ‐11.8  5.4  ‐23.1  ‐27.98 

0.150  ‐12.4  0.9  ‐6.4  3.5  ‐15  ‐68.11 

0.200  ‐1.9  ‐4.4  ‐5.9  2.9  ‐9.2  ‐39.17 

0.300  1.4  7.5  ‐6.4  11.5  ‐2.7  ‐57.89 

0.400  16.6  17.3  1.7  18.6  15.3  50.95 

0.500  9.4  20.3  2.3  20.8  9  78.71 

0.600  5.5  21.4  ‐1  21.5  5.4  ‐86.39 

0.800  11.9  26.8  1.2  26.9  11.8  85.42 

1.000  12.2  40.1  0.8  40.1  12.2  88.27 

Page 75: Residual Stress Measurement of Electron Beam Welded Copper

67  

Table 69. Residual stress results on the sample X455, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  5.2  28.2  ‐8.6  31  2.3  ‐71.64 

0.100  ‐14.6  36.6  2.7  36.7  ‐14.7  86.96 

0.150  ‐6.5  19.6  3.7  20.1  ‐7  82.16 

0.200  ‐19.5  39.9  7.6  40.9  ‐20.5  82.79 

0.300  7.4  24.2  2.5  24.6  7  81.59 

0.400  9.3  19.9  5.5  22.2  7  67.09 

0.500  3.7  21.4  2.9  21.9  3.2  80.96 

0.600  7.1  30.3  6  31.7  5.7  76.39 

0.800  28.4  30  ‐0.2  30  28.4  ‐84.38 

0.999  19.8  32.6  1.2  32.7  19.7  84.56 

Table 70. Residual stress results on the sample X455, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  45  62.7  ‐78.8  133.1  ‐25.4  ‐48.2 

0.100  39.2  16.6  ‐51.7  80.8  ‐25  ‐38.84 

0.150  14.1  ‐3.8  ‐30.9  37.3  ‐27  ‐36.93 

0.200  ‐1.4  ‐3.9  ‐22.7  20.1  ‐25.4  ‐43.4 

0.300  9.9  ‐8.6  ‐21.3  23.9  ‐22.5  ‐33.29 

0.400  6.1  1.4  ‐14.3  18.2  ‐10.8  ‐40.31 

0.500  13.4  ‐8.3  ‐16.4  22.2  ‐17.1  ‐28.27 

0.600  7.6  ‐0.1  ‐8.5  13  ‐5.5  ‐32.83 

0.800  8.3  ‐2.1  ‐12.7  16.8  ‐10.6  ‐33.88 

1.000  11.2  ‐1.2  ‐10.1  16.9  ‐6.8  ‐29.27 

Table 71. Residual stress results on the sample X455, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  46.9  86.3  ‐19.8  94.5  38.7  ‐67.43 

0.100  36.5  38.8  5.2  43  32.3  51.21 

0.150  ‐7.5  20.9  14.9  27.3  ‐13.9  66.8 

0.200  ‐7.8  ‐9.1  18.4  10  ‐26.8  44.01 

0.300  ‐6.9  ‐11.7  14.8  5.7  ‐24.3  40.39 

0.399  ‐4  ‐1.5  22.1  19.4  ‐24.9  46.64 

0.499  5.5  11.9  21  29.9  ‐12.6  49.36 

0.600  10.5  26.3  16.9  37.1  ‐0.3  57.53 

0.799  9.9  12  9.6  20.5  1.3  48.2 

0.999  ‐1.7  5.7  18  20.4  ‐16.3  50.78 

Page 76: Residual Stress Measurement of Electron Beam Welded Copper

68  

Table 72. Residual stress results on the sample X455, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  21.5  47.6  ‐4.5  48.4  20.7  ‐80.51 

0.100  23.9  37.5  8.9  41.9  19.5  63.63 

0.150  20.7  36.3  9.6  40.8  16.2  64.61 

0.200  19.5  36  ‐1.6  36.2  19.3  ‐84.51 

0.300  20.8  36  9.9  40.9  15.9  63.71 

0.400  12.9  35.7  7.5  37.9  10.7  73.38 

0.500  16.9  22.7  6.5  26.9  12.7  56.97 

0.600  21  24  5.1  27.9  17.1  53.13 

0.800  24.4  39  8.7  43  20.4  65.05 

1.000  29.6  52.9  4  53.6  28.9  80.46 

Table 73. Residual stress results on the sample X455, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.051  ‐33.4  48.7  8.1  49.5  ‐34.2  84.44 

0.100  ‐70.5  72.9  13  74.1  ‐71.7  84.86 

0.149  ‐74.8  64.7  9.3  65.3  ‐75.4  86.21 

0.200  ‐15.4  12.3  7.8  14.3  ‐17.4  75.35 

0.300  ‐30.4  45  11  46.6  ‐32  81.87 

0.400  ‐11.5  25.9  13  30  ‐15.6  72.6 

0.501  ‐30.9  36.3  7.3  37.1  ‐31.7  83.85 

0.600  ‐21.4  22.1  16.1  27.4  ‐26.7  71.75 

0.800  ‐9.1  33.3  8.4  34.9  ‐10.7  79.16 

1.000  ‐17.2  53.3  8.8  54.4  ‐18.3  82.97 

Table 74. Residual stress results on the sample X455, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  25.7  43.8  ‐8  46.8  22.7  ‐69.33 

0.100  15.1  42.9  2  43  15  85.89 

0.150  15.1  26.8  ‐6.2  29.5  12.4  ‐66.6 

0.200  11.6  24.6  ‐3  25.2  11  ‐77.72 

0.300  18  23.1  ‐1.4  23.5  17.6  ‐75.7 

0.400  16.4  25.8  ‐5.8  28.6  13.6  ‐64.51 

0.500  13.7  30.3  ‐2.2  30.6  13.4  ‐82.48 

0.600  21  28.8  ‐7.7  33.5  16.3  ‐58.49 

0.800  24.8  36.5  ‐6.1  39.1  22.2  ‐66.95 

1.000  27.9  36.3  ‐3.7  37.7  26.5  ‐69.16 

Page 77: Residual Stress Measurement of Electron Beam Welded Copper

69  

Table 75. Residual stress results on the sample X455, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  32.2  6.8  4.4  32.9  6.1  9.48 

0.100  24.5  2.5  ‐7.6  26.9  0.1  ‐17.26 

0.150  18  ‐4.6  ‐2.1  18.2  ‐4.8  ‐5.26 

0.200  ‐1.2  6.7  ‐2.4  7.3  ‐1.8  ‐74.56 

0.300  1.5  1.4  ‐4.2  5.6  ‐2.8  ‐44.49 

0.399  ‐0.6  2.2  3.7  4.8  ‐3.1  55.14 

0.500  8.9  ‐9.3  ‐1.5  9  ‐9.4  ‐4.53 

0.600  ‐9.1  8.7  ‐2.9  9.2  ‐9.6  ‐81 

0.800  0.8  ‐4  ‐3.2  2.4  ‐5.5  ‐26.45 

1.000  2.2  ‐11.7  ‐4.7  3.7  ‐13.1  ‐17.02 

Table 76. Residual stress results on the sample X456, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐0.6  ‐23.6  ‐5.5  0.6  ‐24.8  ‐12.7 

0.100  ‐8  ‐16.3  ‐25.8  14  ‐38.3  ‐40.44 

0.150  ‐6.3  ‐8.3  ‐27.7  20.4  ‐35  ‐43.95 

0.200  ‐2.2  8.8  ‐23  26.9  ‐20.4  ‐51.74 

0.300  5.1  19.6  ‐17.6  31.4  ‐6.7  ‐56.22 

0.400  12.8  15.9  ‐12.6  27  1.7  ‐48.51 

0.500  15  17.6  ‐8.3  24.7  7.9  ‐49.46 

0.600  21.8  18.5  ‐8.5  28.8  11.5  ‐39.48 

0.800  23.9  28.3  ‐7.1  33.5  18.7  ‐53.67 

0.999  27.7  30.8  ‐6.4  35.8  22.7  ‐51.82 

Table 77. Residual stress results on the sample X456, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐14.2  57.1  ‐27.3  66.4  ‐23.5  ‐71.28 

0.101  ‐23  42.5  ‐21.4  48.9  ‐29.4  ‐73.42 

0.150  ‐16.9  17  ‐8.3  18.9  ‐18.8  ‐76.9 

0.200  ‐16.2  23.3  ‐7.4  24.6  ‐17.5  ‐79.72 

0.300  ‐1.7  32.5  ‐5.8  33.4  ‐2.7  ‐80.68 

0.399  7.3  30.2  ‐2.9  30.6  6.9  ‐82.98 

0.500  11.8  20.5  ‐0.2  20.5  11.8  ‐88.51 

0.600  17.3  17.6  0.3  17.8  17.1  58.55 

0.800  17  28.9  ‐4.2  30.2  15.7  ‐72.49 

1.000  20.8  31.3  ‐5  33.3  18.8  ‐68.17 

Page 78: Residual Stress Measurement of Electron Beam Welded Copper

70  

Table 78. Residual stress results on the sample X456, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐19.3  ‐10.9  ‐26.5  11.7  ‐41.9  ‐49.5 

0.100  ‐22  ‐5.5  ‐43.3  30.3  ‐57.8  ‐50.38 

0.150  ‐9.8  0  ‐29.7  25.2  ‐35  ‐49.66 

0.200  ‐7  22.3  ‐12.2  26.7  ‐11.4  ‐70.12 

0.300  6.6  37.8  1  37.8  6.5  88.26 

0.399  8.1  40.8  ‐3.4  41.2  7.7  ‐84.08 

0.500  4.3  34.6  ‐7.3  36.3  2.6  ‐77.18 

0.600  4.7  36.3  0.4  36.3  4.7  89.31 

0.800  8.2  49.8  ‐0.8  49.8  8.2  ‐88.87 

1.000  19.8  57.9  8.1  59.6  18.1  78.43 

Table 79. Residual stress results on the sample X456, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐21.1  17.3  ‐33.4  36.6  ‐40.4  ‐59.95 

0.100  ‐50.5  44.1  ‐14.4  46.2  ‐52.6  ‐81.53 

0.150  ‐20.9  21.9  1.9  22  ‐21  87.48 

0.200  5.2  17.9  ‐0.1  17.9  5.2  ‐89.41 

0.300  6.9  26.8  ‐3.2  27.3  6.4  ‐80.99 

0.400  3  33.4  ‐0.6  33.4  2.9  ‐88.78 

0.500  ‐4.1  46  ‐1.9  46.1  ‐4.1  ‐87.84 

0.600  26.6  26.6  ‐0.4  27  26.2  ‐45 

0.800  22.9  62.1  1.1  62.1  22.9  88.36 

1.000  33.3  64.5  ‐1  64.5  33.3  ‐88.19 

Table 80. Residual stress results on the sample X456, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐2.6  ‐14.7  ‐14.6  7.1  ‐24.5  ‐33.78 

0.100  ‐3.9  ‐8.3  ‐19.4  13.4  ‐25.6  ‐41.79 

0.150  ‐14.8  17.5  ‐30.6  36  ‐33.3  ‐58.91 

0.200  ‐4.9  28.9  ‐26  43  ‐19  ‐61.5 

0.300  6.6  28  ‐10.7  32.4  2.1  ‐67.53 

0.400  9.5  21.5  ‐0.3  21.5  9.5  ‐88.71 

0.500  9.1  19.4  ‐0.1  19.4  9.1  ‐89.68 

0.600  12.1  24.9  ‐8.6  29.2  7.8  ‐63.33 

0.800  16  43.6  ‐15.5  50.6  9  ‐65.84 

1.000  17.9  44.3  ‐14.3  50.6  11.6  ‐66.35 

Page 79: Residual Stress Measurement of Electron Beam Welded Copper

71  

Table 81. Residual stress results on the sample X456, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐23.8  15.3  ‐20.4  24  ‐32.5  ‐66.89 

0.100  ‐30.7  32.7  ‐12.8  35.2  ‐33.2  ‐79.01 

0.150  ‐13.1  26.9  ‐8.5  28.6  ‐14.8  ‐78.46 

0.200  2.8  20.8  ‐2.8  21.2  2.4  ‐81.46 

0.300  2  23.3  ‐5.4  24.6  0.7  ‐76.5 

0.401  12.9  15.3  ‐5.1  19.3  8.9  ‐51.62 

0.500  7.2  14.5  ‐4.5  16.6  5.1  ‐64.5 

0.600  14.4  18.8  1.4  19.2  14  74.14 

0.799  23.8  35.1  ‐3.2  35.9  23  ‐75.31 

1.000  23.7  38.1  ‐4  39.1  22.7  ‐75.56 

Table 82. Residual stress results on the sample X456, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  35.8  40.1  ‐59.8  97.8  ‐21.9  ‐46.03 

0.100  31.7  8  ‐46.8  68.1  ‐28.5  ‐37.88 

0.150  6.6  0.3  ‐27.6  31.2  ‐24.4  ‐41.74 

0.200  ‐5  ‐0.3  ‐24.6  22.1  ‐27.4  ‐47.7 

0.300  2.5  ‐6.4  ‐14.3  13  ‐16.9  ‐36.41 

0.400  1.9  ‐6.5  ‐12.9  11.3  ‐15.8  ‐36.03 

0.500  0.7  ‐5.6  ‐11  9  ‐13.9  ‐37.03 

0.600  4.7  2.5  ‐12.8  16.5  ‐9.2  ‐42.49 

0.800  6.9  1.9  ‐10.9  15.6  ‐6.8  ‐38.57 

1.000  0.7  ‐4.2  ‐16.8  15.3  ‐18.7  ‐40.88 

Table 83. Residual stress results on the sample X456, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  52.1  48.8  ‐37  87.5  13.4  ‐43.72 

0.100  25.7  26.5  ‐14.4  40.5  11.7  ‐45.8 

0.150  4.6  ‐4.5  ‐1.7  4.9  ‐4.8  ‐10.24 

0.200  ‐6.7  ‐7.4  ‐0.1  ‐6.7  ‐7.4  ‐8.92 

0.299  0.1  3.7  11.1  13.1  ‐9.3  49.5 

0.401  ‐2  17.6  11.1  22.6  ‐7  65.73 

0.500  3.8  3.4  12.7  16.3  ‐9.1  44.59 

0.600  2.5  7.1  12.7  17.7  ‐8.1  50.14 

0.800  12.9  15.3  9.9  24.1  4.1  48.45 

1.000  18.5  25.5  14.2  36.6  7.4  51.92 

Page 80: Residual Stress Measurement of Electron Beam Welded Copper

72  

Table 84. Residual stress results on the sample X456, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  54.2  24.7  16.3  61.4  17.5  23.93 

0.100  36.9  22.8  18.1  49.3  10.4  34.36 

0.150  32.4  9.2  14.7  39.5  2  25.83 

0.200  16.1  2.8  12.3  23.4  ‐4.5  30.79 

0.300  3  ‐5.6  12  11.5  ‐14  35.2 

0.400  ‐8.6  ‐7.1  5.4  ‐2.4  ‐13.3  48.99 

0.500  ‐6.7  ‐6.1  6.8  0.4  ‐13.2  46.33 

0.601  ‐1.9  ‐1.4  3.5  1.9  ‐5.1  47.04 

0.800  7.1  13.8  5.4  16.8  4.1  60.78 

1.000  20.5  21.3  2.1  23  18.8  50.52 

Table 85. Residual stress results on the sample X456, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐53.5  36.5  ‐16.7  39.5  ‐56.5  ‐79.82 

0.100  ‐83.9  71.9  ‐23.3  75.3  ‐87.3  ‐81.67 

0.150  ‐30.3  27.1  ‐10.8  29.1  ‐32.3  ‐79.69 

0.200  ‐0.4  6.5  6.5  10.3  ‐4.3  59.02 

0.300  ‐29.1  38.3  ‐10  39.7  ‐30.5  ‐81.77 

0.400  ‐9.2  12  ‐5.4  13.3  ‐10.5  ‐76.46 

0.500  ‐27.2  35.1  ‐14.4  38.3  ‐30.4  ‐77.59 

0.600  ‐3.8  17.6  ‐4.7  18.6  ‐4.8  ‐78.17 

0.800  ‐9.2  38.5  ‐5.3  39.1  ‐9.8  ‐83.69 

1.001  0.9  42.7  ‐5  43.3  0.3  ‐83.33 

Table 86. Residual stress results on the sample X456, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  52.6  17.2  6.1  53.6  16.2  9.57 

0.100  46  ‐2.3  17.2  51.5  ‐7.8  17.73 

0.150  35.4  ‐16.2  8.7  36.8  ‐17.6  9.28 

0.200  15.7  ‐2.4  ‐4.1  16.6  ‐3.2  ‐12.18 

0.300  18.3  ‐1.7  ‐4.1  19.1  ‐2.5  ‐11.13 

0.400  20.1  ‐1.5  3.2  20.6  ‐2  8.22 

0.500  13.2  8.3  ‐1.4  13.5  8  ‐14.43 

0.600  14  13.2  3.5  17.1  10.1  41.76 

0.799  7.4  1.2  ‐3.1  8.7  ‐0.1  ‐22.66 

1.000  ‐11.1  ‐1.1  1.8  ‐0.8  ‐11.4  80.06 

Page 81: Residual Stress Measurement of Electron Beam Welded Copper

73  

Table 87. Residual stress results on the sample X456, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  200  98.6  ‐4.4  200.2  98.4  ‐2.47 

0.100  159  83.4  ‐21.9  164.9  77.5  ‐15.04 

0.150  99.7  72.6  ‐14.1  105.7  66.6  ‐23.07 

0.200  60.8  63.8  ‐13.9  76.3  48.3  ‐48.08 

0.300  59  42.8  ‐9.9  63.7  38.1  ‐25.33 

0.400  49.8  54.3  ‐11.4  63.7  40.4  ‐50.58 

0.500  58.6  43.7  ‐10  63.6  38.7  ‐26.59 

0.599  25.6  32.7  ‐2  33.2  25.1  ‐75.18 

0.800  18.5  19.8  ‐9.5  28.7  9.6  ‐46.95 

0.999  1.6  11.5  ‐1.1  11.6  1.5  ‐83.67 

Table 88. Residual stress results on the sample X457, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐10.7  ‐26.9  ‐18.1  1  ‐38.6  ‐32.95 

0.100  6.9  ‐28.8  ‐19.6  15.6  ‐37.5  ‐23.83 

0.150  2  ‐4.4  ‐12.8  12  ‐14.4  ‐38.05 

0.200  9.3  5.4  ‐5.4  13.1  1.6  ‐35.08 

0.300  10.3  16.1  ‐8.6  22.3  4.1  ‐54.29 

0.400  12.7  15.4  ‐7.8  22  6.1  ‐49.89 

0.500  14  6.1  ‐8.3  19.2  0.8  ‐32.26 

0.600  12.2  12.3  ‐9.4  21.6  2.9  ‐45.15 

0.800  22.1  14.3  ‐10.9  29.8  6.6  ‐35.16 

1.000  19.9  8.1  ‐8.7  24.5  3.5  ‐27.94 

Table 89. Residual stress results on the sample X457, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐22.9  2.9  7.7  5  ‐25  74.64 

0.100  ‐42.3  43  ‐18.7  46.9  ‐46.2  ‐78.16 

0.150  6.3  22.5  ‐15.9  32.3  ‐3.4  ‐58.48 

0.200  ‐0.2  34.9  ‐1.7  35  ‐0.3  ‐87.24 

0.300  6.2  20.5  ‐1  20.6  6.1  ‐85.86 

0.400  4.6  12.2  ‐12  21  ‐4.2  ‐53.83 

0.500  1.5  10.1  ‐4.4  12  ‐0.4  ‐67.12 

0.600  2.8  20.4  0.7  20.4  2.7  87.62 

0.800  11.2  22.8  ‐2.1  23.2  10.8  ‐80 

1.000  21.4  22.5  3.8  25.8  18.1  49.15 

Page 82: Residual Stress Measurement of Electron Beam Welded Copper

74  

Table 90. Residual stress results on the sample X457, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐17.3  ‐47.7  ‐20.5  ‐7  ‐58  ‐26.72 

0.100  ‐19.6  ‐14.7  ‐19  2  ‐36.3  ‐48.67 

0.149  9  ‐10.1  ‐16  18.1  ‐19.2  ‐29.59 

0.200  2.7  13.8  ‐10.2  19.9  ‐3.4  ‐59.31 

0.300  3.6  21.1  ‐10.8  26.2  ‐1.6  ‐64.51 

0.400  12.5  26.6  ‐11.6  33.1  6  ‐60.64 

0.500  4.6  45.2  ‐14.1  49.6  0.2  ‐72.62 

0.600  22.2  31.6  ‐12.1  39.9  13.9  ‐55.61 

0.799  12.8  38  ‐13.2  43.6  7.2  ‐66.83 

1.000  14.2  44.9  ‐21.5  56  3.1  ‐62.76 

Table 91. Residual stress results on the sample X457, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  0.7  82.6  ‐30.2  92.5  ‐9.2  ‐71.79 

0.100  2.8  31.4  ‐2.5  31.6  2.5  ‐85.05 

0.150  ‐12.9  10.4  6.3  12  ‐14.5  75.84 

0.201  ‐22.5  19.5  ‐2.8  19.7  ‐22.7  ‐86.22 

0.300  2.4  9.4  4  11.2  0.5  65.58 

0.400  ‐3.7  24.3  1.6  24.4  ‐3.8  86.82 

0.500  ‐2.8  28  0.9  28  ‐2.8  88.4 

0.600  1.3  34.2  ‐0.8  34.2  1.3  ‐88.62 

0.800  4.4  39.1  ‐2.1  39.2  4.3  ‐86.48 

1.000  ‐8.3  24.6  ‐1.6  24.7  ‐8.4  ‐87.29 

Table 92. Residual stress results on the sample X457, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐6.6  4.4  ‐14.5  14.4  ‐16.6  ‐55.32 

0.100  1.4  ‐6.4  ‐7.4  5.8  ‐10.8  ‐31.23 

0.150  ‐2.8  ‐1.2  ‐7.7  5.8  ‐9.7  ‐47.88 

0.200  2.3  ‐0.1  ‐0.3  2.4  ‐0.2  ‐7.76 

0.300  5.2  0.1  ‐4.4  7.7  ‐2.5  ‐29.96 

0.400  ‐3.5  18.8  ‐13.3  25  ‐9.7  ‐64.97 

0.500  12.8  13.8  ‐1.4  14.8  11.8  ‐54.7 

0.600  21.6  12.8  ‐2.4  22.2  12.2  ‐14.15 

0.799  10.1  31.2  ‐0.1  31.2  10.1  ‐89.78 

1.000  16.5  25.4  ‐4.9  27.6  14.3  ‐66.09 

Page 83: Residual Stress Measurement of Electron Beam Welded Copper

75  

Table 93. Residual stress results on the sample X457, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  3.4  21.6  ‐3.5  22.2  2.8  ‐79.58 

0.100  ‐11.9  33.7  10.1  35.8  ‐14  78.05 

0.150  ‐7.7  19.6  3.4  20  ‐8.1  82.98 

0.200  0.2  7.2  6  10.7  ‐3.3  60.22 

0.300  2  13.3  4.4  14.8  0.4  71.11 

0.401  7.1  22.2  ‐2.1  22.5  6.8  ‐82.1 

0.499  14.3  17.6  1.8  18.4  13.5  66.41 

0.600  14  17.3  ‐4.2  20.2  11.1  ‐55.68 

0.799  20  24.3  0.1  24.3  20  89.32 

1.000  25.9  35.4  ‐0.2  35.4  25.9  ‐89.05 

Table 94. Residual stress results on the sample X457, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  92.7  92.9  42  134.8  50.8  45.07 

0.100  43.2  47.2  45.1  90.3  0.1  46.27 

0.150  4.7  ‐6.4  41.8  41.3  ‐43.1  41.22 

0.200  4  ‐33.5  38.5  28.1  ‐57.6  32.02 

0.300  10.4  ‐14.8  23.7  24.6  ‐29  31 

0.400  26.4  ‐5.6  27.8  42.5  ‐21.7  30.05 

0.500  8.4  21.4  19.2  35.2  ‐5.4  54.33 

0.600  24.2  ‐2.9  17.7  32.9  ‐11.6  26.28 

0.800  16.4  3.9  18.9  30.1  ‐9.8  35.84 

0.999  18.1  2.5  28.7  40  ‐19.4  37.4  Table 95. Residual stress results on the sample X457, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  88.9  76.4  ‐1  89  76.3  ‐4.33 

0.100  66.5  37.2  11.1  70.2  33.5  18.58 

0.150  25  9  9.5  29.4  4.6  24.97 

0.200  1  ‐7.1  ‐2.2  1.6  ‐7.7  ‐14.21 

0.300  ‐5.7  ‐10.7  ‐10.3  2.4  ‐18.8  ‐38.15 

0.400  ‐3.4  ‐12.8  ‐19.2  11.7  ‐27.9  ‐38.1 

0.500  7.1  ‐14.5  ‐19.3  18.4  ‐25.8  ‐30.39 

0.600  12.1  8  ‐17  27.2  ‐7.1  ‐41.55 

0.799  11.9  6.7  ‐19.8  29.3  ‐10.6  ‐41.29 

1.000  9.4  2.6  ‐19.6  25.9  ‐13.9  ‐40.09 

Page 84: Residual Stress Measurement of Electron Beam Welded Copper

76  

Table 96. Residual stress results on the sample X457, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐9.8  14.7  32.7  37.4  ‐32.5  55.28 

0.100  ‐16.2  15.1  42.3  44.6  ‐45.7  55.15 

0.150  ‐19.6  14.1  47.7  47.8  ‐53.3  54.73 

0.200  ‐15.9  10.1  42.9  41.9  ‐47.7  53.43 

0.300  ‐14.2  12.8  38  39.6  ‐41  54.78 

0.399  ‐11.7  13.3  30.9  34.1  ‐32.5  56.01 

0.500  ‐8.3  20.2  37.7  46.3  ‐34.4  55.35 

0.600  ‐0.9  32.3  30.2  50.2  ‐18.7  59.38 

0.800  11.4  38  22.7  51  ‐1.6  60.18 

1.000  7.2  32.5  30.9  53.2  ‐13.5  56.13  Table 97. Residual stress results on the sample X457, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐59.4  26.5  ‐18.6  30.4  ‐63.3  ‐78.29 

0.100  ‐75.3  14.9  0.4  14.9  ‐75.3  89.72 

0.150  ‐73.2  ‐4.9  6.2  ‐4.3  ‐73.8  84.83 

0.200  ‐83  2.9  ‐1.2  2.9  ‐83  ‐89.19 

0.300  ‐67.6  2.5  4.8  2.8  ‐67.9  86.13 

0.400  ‐57.7  16.9  2.7  17  ‐57.8  87.95 

0.500  ‐29.7  12.3  1.7  12.4  ‐29.8  87.74 

0.600  ‐47.1  29.7  1  29.7  ‐47.1  89.27 

0.800  ‐29.4  18.1  3.9  18.4  ‐29.7  85.34 

1.000  ‐41.4  20.7  2.4  20.8  ‐41.5  87.8  Table 98. Residual stress results on the sample X457, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  4.7  12.8  4.9  15.1  2.4  64.87 

0.100  5.8  20.1  ‐18.3  32.6  ‐6.7  ‐55.68 

0.150  3.4  30.9  ‐24.1  44.9  ‐10.6  ‐59.84 

0.200  5.5  28.5  ‐19.2  39.4  ‐5.4  ‐60.49 

0.300  ‐0.3  30.9  ‐25.3  45  ‐14.4  ‐60.84 

0.400  ‐1  27.2  ‐22.2  39.4  ‐13.2  ‐61.21 

0.500  ‐2.6  27.1  ‐19.2  36.5  ‐12  ‐63.87 

0.600  ‐3  30.3  ‐21.8  41.1  ‐13.8  ‐63.68 

0.800  0  30.5  ‐24.4  44  ‐13.6  ‐61.02 

1.001  3.4  26.7  ‐20.9  39  ‐8.8  ‐59.55 

Page 85: Residual Stress Measurement of Electron Beam Welded Copper

77  

Table 99. Residual stress results on the sample X457, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  7.4  9.2  ‐25.2  33.5  ‐16.9  ‐46.01 

0.100  ‐9.8  0.2  ‐1.1  0.3  ‐9.9  ‐84.05 

0.150  ‐23  ‐7.5  9  ‐3.4  ‐27.1  65.41 

0.200  ‐16.9  ‐17.7  6.9  ‐10.4  ‐24.2  43.34 

0.300  ‐22.7  ‐7.8  2.9  ‐7.2  ‐23.2  79.35 

0.400  ‐28.5  ‐6.2  6.1  ‐4.6  ‐30.1  75.63 

0.500  ‐28.5  ‐3.5  3.7  ‐3  ‐29  81.7 

0.600  ‐36.7  ‐0.8  ‐2.9  ‐0.5  ‐36.9  ‐85.49 

0.800  ‐35.8  ‐9  4.3  ‐8.3  ‐36.5  81.12 

1.000  ‐47.3  ‐13.1  ‐3.4  ‐12.8  ‐47.6  ‐84.31  Table 100. Residual stress results on the sample X458, 120 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐4.6  1.3  ‐13.7  12.4  ‐15.6  ‐51.05 

0.100  11.6  ‐14.7  ‐20.9  23.1  ‐26.2  ‐28.91 

0.149  5.6  ‐3.9  ‐26.5  27.8  ‐26  ‐39.91 

0.199  ‐1.5  11.3  ‐17.3  23.3  ‐13.6  ‐55.17 

0.300  12  6.5  ‐18  27.5  ‐8.9  ‐40.67 

0.400  9.2  21.7  ‐10.1  27.3  3.6  ‐60.87 

0.500  6.1  22.8  ‐16.1  32.6  ‐3.7  ‐58.73 

0.600  13.1  9.9  ‐10.5  22.1  0.9  ‐40.67 

0.800  11.1  7.5  ‐10.8  20.2  ‐1.6  ‐40.27 

1.000  17.9  1.4  ‐4.5  19.1  0.2  ‐14.42  Table 101. Residual stress results on the sample X458, 120 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐19.3  13  ‐12.4  17.2  ‐23.5  ‐71.24 

0.100  ‐25.4  26.6  ‐12.2  29.3  ‐28.1  ‐77.43 

0.150  ‐36.4  50.9  ‐3.6  51  ‐36.5  ‐87.68 

0.201  ‐3.6  25.6  ‐3.9  26.1  ‐4.2  ‐82.53 

0.300  ‐5  27.4  ‐5  28.2  ‐5.8  ‐81.38 

0.400  3.1  24.6  ‐0.3  24.6  3.1  ‐89.09 

0.500  6.2  20.6  ‐1.9  20.9  5.9  ‐82.48 

0.600  14  10.9  ‐5.4  18  6.9  ‐36.95 

0.800  12.7  30.2  ‐0.7  30.2  12.7  ‐87.86 

1.000  23.9  37.9  ‐5.4  39.7  22.1  ‐71.25 

Page 86: Residual Stress Measurement of Electron Beam Welded Copper

78  

Table 102. Residual stress results on the sample X458, 20 mm from the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.049  ‐7.9  ‐31.1  ‐16.2  0.4  ‐39.4  ‐27.2 

0.100  ‐8.8  ‐14.4  ‐31.6  20.1  ‐43.3  ‐42.48 

0.150  ‐8.7  ‐2.3  ‐21.8  16.5  ‐27.5  ‐49.2 

0.200  7.7  ‐5.3  ‐12.5  15.3  ‐12.9  ‐31.24 

0.301  2.4  13.6  ‐3.5  14.6  1.4  ‐73.92 

0.400  9.8  22.6  ‐3.7  23.6  8.8  ‐75.09 

0.500  4.7  32.5  1.1  32.5  4.6  87.72 

0.600  10.8  28.5  3.4  29.1  10.2  79.46 

0.800  7.4  36.1  3.1  36.4  7  83.93 

1.000  11  31.6  13  37.9  4.7  64.2 

Table 103. Sample X458, 20 mm from the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐54.1  ‐8.2  21.4  0.2  ‐62.5  68.49 

0.100  ‐34  ‐7.8  15  ‐1  ‐40.8  65.56 

0.150  ‐8.5  ‐5.2  11.4  4.7  ‐18.3  49.06 

0.200  ‐4.9  13.5  11.6  19.1  ‐10.5  64.24 

0.301  6.5  13.2  3.5  14.7  5  66.95 

0.400  9.2  17.4  8  22.3  4.3  58.61 

0.500  8.2  19.1  3.6  20.2  7.1  73.23 

0.600  7.3  22.1  3.8  23  6.4  76.46 

0.801  5.3  31.3  1.5  31.4  5.2  86.65 

1.000  6.5  33.7  5  34.6  5.6  80 

Table 104. Residual stress results on the sample X458, in the weld, start weld, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐15.2  ‐33.4  ‐0.5  ‐15.2  ‐33.4  ‐1.42 

0.101  ‐10.8  ‐13.1  ‐21.5  9.6  ‐33.5  ‐43.47 

0.150  18.8  ‐10.2  ‐28.4  36.2  ‐27.6  ‐31.48 

0.200  3.5  15.5  ‐19.7  30.1  ‐11.1  ‐53.45 

0.300  7  12.3  ‐19.3  29.1  ‐9.8  ‐48.92 

0.400  12.7  19.3  ‐13.9  30.3  1.7  ‐51.68 

0.500  22.3  18.7  ‐5.1  25.9  15.1  ‐35.3 

0.600  16.5  37.3  ‐19.3  48.8  5  ‐59.16 

0.800  33.8  28  ‐7.4  38.8  23  ‐34.27 

1.001  20  28.1  ‐2.3  28.7  19.4  ‐75.1 

Page 87: Residual Stress Measurement of Electron Beam Welded Copper

79  

Table 105. Residual stress results on the sample X458, in the weld, weld end, top surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐9.3  6.1  ‐17.9  17.9  ‐21.1  ‐56.59 

0.100  ‐23.5  13.4  ‐9.5  15.7  ‐25.8  ‐76.39 

0.150  ‐14.1  6.7  ‐2  6.8  ‐14.3  ‐84.57 

0.200  ‐16.4  22.7  ‐4.3  23.2  ‐16.9  ‐83.84 

0.300  ‐4.2  30  ‐4.4  30.6  ‐4.7  ‐82.8 

0.400  9.7  28  ‐2.3  28.3  9.4  ‐82.86 

0.500  14  20.9  ‐1.1  21.1  13.8  ‐81.23 

0.600  10  19.5  ‐5.7  22.1  7.4  ‐65 

0.799  15.1  26.6  ‐3  27.3  14.4  ‐76.42 

1.000  26.3  31.1  0.5  31.1  26.3  84.37  Table 106. Residual stress results on the sample X458, 120 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  68.4  35.2  12.4  72.5  31.1  18.38 

0.100  67.9  14.8  ‐6.9  68.8  13.9  ‐7.27 

0.150  39.2  4.3  ‐17.7  46.6  ‐3.1  ‐22.71 

0.200  21.8  ‐9.1  ‐20  31.6  ‐18.9  ‐26.14 

0.300  12  ‐9.3  ‐20.6  24.5  ‐21.8  ‐31.34 

0.399  19.5  ‐9.8  ‐24.7  33.6  ‐23.9  ‐29.65 

0.500  20.4  ‐3  ‐22.3  33.9  ‐16.5  ‐31.18 

0.600  10.1  3.2  ‐16.4  23.4  ‐10.1  ‐39.06 

0.801  7.3  ‐4.8  ‐19.3  21.5  ‐19  ‐36.32 

1.000  6.7  ‐2.6  ‐21.8  24.3  ‐20.3  ‐38.94  Table 107. Residual stress results on the sample X458, 120 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  82.3  71.1  31.7  108.9  44.5  39.99 

0.099  79.7  19.4  40.3  99.9  ‐0.8  26.6 

0.150  26  0.8  39.1  54.5  ‐27.7  36.08 

0.200  9.3  ‐20.7  40.1  37.1  ‐48.5  34.75 

0.299  5.8  ‐17.9  21.9  18.9  ‐30.9  30.79 

0.400  2.6  ‐6.7  12.4  11.2  ‐15.3  34.68 

0.500  4.1  ‐3.7  25.4  25.9  ‐25.5  40.67 

0.600  8.1  ‐7  11.3  14.1  ‐13  28.15 

0.800  6.8  2.8  17.8  22.7  ‐13.1  41.84 

1.000  6.3  ‐0.2  16.8  20.1  ‐14.1  39.52 

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Table 108. Residual stress results on the sample X458, 20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  2.2  54  ‐9.4  55.6  0.6  ‐80.07 

0.100  ‐14.5  58.4  ‐33.1  71.2  ‐27.3  ‐68.88 

0.150  ‐10.3  37.1  ‐38.7  58.8  ‐32  ‐60.74 

0.200  ‐5.3  27.1  ‐29.2  44.3  ‐22.5  ‐59.52 

0.300  ‐9.1  38.5  ‐35.5  57.4  ‐28  ‐61.91 

0.400  ‐1.1  34.5  ‐20.9  44.1  ‐10.8  ‐65.22 

0.500  ‐2.1  38.4  ‐28.8  53.4  ‐17.1  ‐62.56 

0.600  ‐1.8  30  ‐15.8  36.5  ‐8.3  ‐67.59 

0.800  ‐5.4  25.6  ‐19.5  35  ‐14.8  ‐64.22 

1.000  ‐14.2  27.5  ‐31.1  44.1  ‐30.8  ‐61.92  Table 109. Residual stress results on the sample X458, 20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐37.9  7.7  ‐15.4  12.4  ‐42.6  ‐72.97 

0.100  ‐77.4  25.8  ‐2  25.8  ‐77.4  ‐88.89 

0.150  ‐76.6  12  ‐3.3  12.1  ‐76.7  ‐87.85 

0.200  ‐73.2  17.3  ‐11.2  18.7  ‐74.6  ‐83.05 

0.300  ‐41.6  13.6  ‐5.1  14.1  ‐42.1  ‐84.75 

0.400  ‐25.1  17.4  0.8  17.4  ‐25.1  88.9 

0.500  ‐20.9  13.4  0.2  13.4  ‐20.9  89.7 

0.600  ‐27.9  18.8  ‐4.2  19.2  ‐28.3  ‐84.89 

0.800  ‐23.2  8.7  ‐1.9  8.8  ‐23.3  ‐86.6 

1.000  ‐28.5  22.3  ‐0.8  22.3  ‐28.5  ‐89.13  Table 110. Residual stress results on the sample X458, -20 mm from the weld, start weld, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐17.6  ‐1.4  20.8  12.8  ‐31.8  55.63 

0.100  ‐16.6  16.4  30.9  34.9  ‐35.1  59.05 

0.149  ‐8.6  30.1  26.6  43.6  ‐22.1  63.01 

0.200  ‐1.2  32.2  24  44.7  ‐13.7  62.42 

0.300  ‐2.4  33.2  31.3  51.4  ‐20.6  59.82 

0.400  0.8  27.6  19.1  37.5  ‐9.1  62.51 

0.501  8.3  33.6  17.8  42.8  ‐0.9  62.72 

0.600  11.8  49  24  60.8  0  63.89 

0.800  9.1  46.7  30.3  63.6  ‐7.8  60.91 

1.000  1.7  12.1  7.9  16.4  ‐2.6  61.71 

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Table 111. Residual stress results on the sample X458, -20 mm from the weld, weld end, lower surface.

Depth xx yy xy θz mm MPa MPa MPa MPa MPa °

0.050  ‐73.1  31.8  ‐4.3  32  ‐73.3  ‐87.67 

0.100  ‐81.9  26.5  ‐4.9  26.7  ‐82.1  ‐87.42 

0.150  ‐73.1  15.4  ‐6.7  15.9  ‐73.6  ‐85.68 

0.200  ‐60.8  23.2  2.8  23.3  ‐60.9  88.11 

0.300  ‐44.8  26.4  ‐0.8  26.4  ‐44.8  ‐89.33 

0.400  ‐39.3  20.7  ‐0.2  20.7  ‐39.3  ‐89.77 

0.501  ‐29.8  8.8  ‐2  8.9  ‐29.9  ‐87.07 

0.600  ‐30.4  17.3  ‐4  17.6  ‐30.7  ‐85.3 

0.800  ‐27.1  11.9  1.7  12  ‐27.2  87.54 

1.000  ‐44.5  29.2  ‐3.4  29.4  ‐44.7  ‐87.36 

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