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    austenite again causes a certain volume increase, and in the third tempering stage the

    progressive decomposition of martensite leads to the volume decrease.

    For high-alloy tool steels (e.g., 210CrW46, curve 3 of Figure 6.49), a stabilization of

    austenite is evident, so that the effect of the volume increase (due to austenitebainite or

    austenitemartensite transformation) takes place only at higher temperatures. In most cases,

    as can be seen from Figure 6.49, a reduction in length, i.e., a volume decrease, can be found

    after tempering.

    It should be noted that the changes in length shown in Figure 6.49 represent only the order

    of magnitude of the expected changes, because the actual value depends in each case on the

    specific heat treatment conditions. The austenitizing temperature, which determines the

    amount of carbon dissolved and the amount of retained austenite, has a strong influence

    on expected volume changes.

    6.2 ANNEALING PROCESSES

    6.2.1 STRESS-RELIEF ANNEALING

    Stress-relief annealing is an annealing process below the transformation temperature Ac1,with subsequent slow cooling, the aim of which is to reduce the internal residual stresses in a

    workpiece without intentionally changing its structure and mechanical properties.

    Residual stresses in a workpiece may be caused by

    1. Thermal factors (e.g., thermal stresses caused by temperature gradients within the

    workpiece during heating or cooling)

    2. Mechanical factors (e.g., cold-working)

    3. Metallurgical factors (e.g., transformation of the microstructure)

    In processes that involve heat, residual stresses are usually caused by the simultaneous

    existence of thermal and transformational stresses (e.g., during the solidification of liquid

    metals, hot forming, hardening, or welding). Thermal stresses are always directly propor-

    tional to the existing temperature gradient, which further depends on the cross-sectional size

    and on the heating or cooling rate.In workpieces made of steel, for the above reasons, local residual stresses may amount to

    between about 10 N/mm2 and values close to the yield strength at room temperature. The

    consequences of residual stresses may include

    1. Dimensional changes and warpage of the workpiece

    2. Formation of macroscopic and microscopic cracks

    3. Asymmetric rotation of shafts

    4. Impairment of the fatigue strength of engineering components

    2

    3

    4651

    Tempering temperature, C

    Change

    inlength,%

    0

    1: DIN 105WCr6

    2: DIN 40CrMOV21.14

    3: DIN 210CrW46

    4: DIN X100CrMoV5.15: DIN 50NiCr13

    6: DIN 165CrMoV460.15

    0.100.05

    0

    0.05

    0.10

    0.15

    100 200 300 400 500 600

    FIGURE 6.49 Change in length of different steels during tempering as a function of tempering tem-

    perature. (Designation of steels according to DIN.) (From H.J. Eckstein (Ed.), Technologie der Warme-

    behandlung von Stahl, 2nd ed., VEB Deutscher Verlag fur Grundstoffindustrie, Leipzig, 1987.)

    2006 by Taylor & Francis Group, LLC.

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    Residual stresses in a workpiece can be reduced only by a plastic deformation in the

    microstructure. This requires that the yield strength of the material be lowered below the

    value of the residual stresses. The more the yield strength is lowered, the greater the plastic

    deformation and correspondingly the greater the possibility or reducing the residual stresses.

    The yield strength and the ultimate tensile strength of the steel both decrease with increasing

    temperature, as shown in Figure 6.50 for a low-carbon unalloyed steel. Because of this, stress-

    relief annealing means a through-heating process at a correspondingly high temperature. For

    plain carbon and low-alloy steels this temperature is usually between 450 and 6508C (842 and

    12008F), whereas for hot-working tool steels and high-speed steels it is between 600 and

    7508C (1112 and 13828F). This treatment will not cause any phase changes, but recrystalliza-

    tion may take place. Tools and machine components that are to be subjected to stress-relief

    annealing should be left with a machining allowance sufficient to compensate for any warping

    resulting from stress relief.

    When dealing with hardened and tempered steel, the temperature of stress-relief annealing

    should be about 258C (778F) below that used for tempering. If the tempering temperature was

    quite low, after stress-relief annealing quite a high level of residual stresses will remain. In

    some other cases, for instance with a gray iron, the maximum temperature of the stress-reliefannealing should be limited because of possible strength loss. Therefore gray iron must not be

    stress-relief annealed above 5508C (10228F).

    In the heat treatment of metals, quenching or rapid cooling is the cause of the greatest

    residual stresses. A high level of residual stress is generally to be expected with workpieces that

    have a large cross section, are quenched at a high cooling rate, and are made of a steel of low

    hardenability. In such a case high-temperature gradients will arise on the one side, and on the

    other side structural transformations will occur at different points of the cross section at

    different temperatures and different times. In contrast to heat treatment processes with con-

    tinuous cooling, processes with IT (e.g., austempering) result in a low level of residual stresses.

    To activate plastic deformations, the local residual stresses must be above the yield

    strength of the material. Because of this fact, steels that have a high yield strength at elevated

    temperatures can withstand higher levels of residual stress than those that have a low yield

    strength at elevated temperatures.

    A

    1000

    Yieldstrengthandultimatetensile

    strength,

    MPa

    Elongation,

    %

    Temperature, C

    800

    600

    400

    200

    200 100 100 200 300 400 500 600

    Rm

    sso

    ssu

    0

    0

    10

    20

    30

    40

    50

    0

    FIGURE 6.50 Change in some mechanical properties of low-carbon unalloyed steel with increasing

    temperature, according to Christen. A, Elongation; Rm, ultimate tensile strength; sso, upper yield

    strength; ssu, lower yield strength. (From H.J. Eckstein (Ed.), Technologie der Warmebehandlung von

    Stahl, 2nd ed., VEB Deutscher Verlag fur Grundstoffindustrie, Leipzig, 1987.)

    2006 by Taylor & Francis Group, LLC.

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    The level of yield strength at elevated temperatures depends on the alloying elements in

    the steel. Figure 6.51 shows the increase in yield strength at temperatures of 3005508C (572

    10228F) when 0.5% of each element was added to an unalloyed steel. It can be seen from this

    diagram that additions of Mo and V are most effective in increasing the yield strength at

    elevated temperatures.

    To reduce residual stresses in a workpiece by stress-relief annealing, a temperature must

    be reached above the temperature corresponding to the yield strength that is adequate to the

    maximum of the residual stresses present. In other words, every level of residual stress in a

    workpiece corresponds to a yield strength that in turn depends on temperature. In addition to

    temperature, soaking time also has an influence on the effect of stress-relief annealing, i.e., onthe reduction of residual stresses, as shown in Figure 6.52.

    The relation between temperature and soaking time during stress-relief annealing can be

    described by Hollomons parameter:

    P T(C log t) (6:33)

    where Pis Hollomons parameter (heat treatment processes with the same Hollomon para-

    meter value have the same effect), Cis the HollomonJaffe constant, Tis temperature (K),

    and t is time (h).

    The HollomonJaffe constant can be calculated as

    C 21:3 (5:8% carbon) (6:34)

    Figure 6.53 shows (according to LarsonMiller method) calculated values of the yield strength

    at elevated temperatures (for 0.2% strain) for three grades of alloyed structural steels for

    hardening and tempering (designations according to DIN). Using this diagram, the abscissa

    ofwhichrepresents theactualHollomonparameterP, knowing thetemperature andtimeof the

    stress-relief annealing, one can read off the level of residual stresses that will remain in the

    workpiece after this annealing process, i.e., the level up to which the residual stresses will be

    reduced by this stress-relief annealing. If, for instance, for DIN 24CrMoV5.5 steel, a

    Mo

    V

    Ti

    Cu

    Mn

    Cr

    Ni0

    20

    40

    60

    80

    100

    300 350 400 450 500 550

    Temperature, C

    120

    Increaseoftheyieldstrength

    ,N/mm2

    FIGURE 6.51 Increase in yield strength at elevated temperatures when 0.5% of each alloying element

    indicated is added to an unalloyed steel. (From G. Spur and T. Stoferle (Eds.), Handbuch der Fertigung-stechnik, Vol. 4/2, Warmebehandeln, Carl Hanser, Munich, 1987.)

    2006 by Taylor & Francis Group, LLC.

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    1 h

    10 h

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Reductionofresidualstresses,%

    Temperature, C

    200 300 400 500 600 700

    24 h

    48 h

    FIGURE 6.52 Effect of soaking time (at different temperatures) of stress-relief annealing on the

    reduction of residual stresses for hardening and tempering steels. (From G. Spur and T. Stoferle

    (Eds.), Handbuch der Fertigungstechnik, Vol. 4/2, Warmebehandeln, Carl Hanser, Munich, 1987.)

    P=T(20+log t)103

    Temperature T, C

    Hollomon's parameter P

    Holdingtime,

    t

    30CrMoN

    iV5.11

    a

    b

    400

    200

    80

    6050

    40

    30

    20

    10(a) h

    (b)

    15

    0.1

    5

    10

    20

    16 17 18 19 20 21 22 23

    100

    700650550 600

    700650550 600

    700650550 600

    700650550 600

    Yieldstrengthorminimum

    residualstress

    afterstress-reliefannea

    ling,

    N/mm2

    24C

    rMoV

    5.5

    28NiCrM

    o7.4

    FIGURE 6.53 Yield strength at elevated temperatures (for 0.2% strain) calculated according to the

    LarsonMiller method for three grades of alloyed structural steels for hardening and tempering

    (designations according to DIN). (a) Calculated values and (b) experimentally obtained values. (From

    G. Spur and T. Stoferle (Eds.), Handbuch der Fertigungstechnik, Vol. 4/2, Warmebehandeln, Carl Hanser,

    Munich, 1987.)

    2006 by Taylor & Francis Group, LLC.

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    temperature of 6008C (11128F)and a soaking timeof 10h arechosen for stress-reliefannealing,

    the residual stresses will, after this annealing, be reduced to a maximum of 70 N/mm2. Higher

    temperatures and longer times of annealing may reduce residual stresses to lower levels, as can

    be seen from Figure 6.53.

    As in all heat treatment processes where Hollomons parameter is involved, selection of a

    higher temperature may dramatically shorten the soaking time and contribute substantially to

    the economy of the annealing process.

    Dealing with structural steels for hardening and tempering, the stress-relief process and the

    tempering process can be performed simultaneously as one operation, because Hollomons

    parameter is also applicable to tempering. In such a case the stress-relief diagram may be used

    in combination with the tempering diagram to optimize both the hardness and the level of

    reduced residual stresses.

    The residual stress level after stress-relief annealing will be maintained only if the cool-

    down from the annealing temperature is controlled and slow enough that no new internal

    stresses arise. New stresses that may be induced during cooling depend on the cooling rate, on

    the cross-sectional size of the workpiece, and on the composition of the steel. Figure 6.54

    shows the effect of cooling rate and cross-sectional diameter of forgings made of a CrMoNiVsteel on the level of tangential residual stresses after stress-relief annealing.

    A general conclusion about stress-relief annealing is the following: In the temperature

    range 4506508C (84212008F), the yield strength of unalloyed and low-alloyed steels is

    lowered so much that a great deal of residual stress may be reduced by plastic deformation.

    The influence of the steel composition on the level of residual stresses after annealing can be

    considerable. While unalloyed and low-alloy steels with Ni, Mn, and Cr after stress-relief

    annealing above 5008C (9328F) may get the residual stresses reduced to a low level, steels

    alloyed with Mo or Mo V will retain a much higher level of the residual stresses after stress-

    relief annealing at the same temperature because of their much higher yield strength at

    elevated temperature.

    6.2.2 NORMALIZING

    Normalizing or normalizing annealing is a heat treatment process consisting of austenitizing

    at temperatures of 30808C (861768F) above the Ac3 transformation temperature (for

    00

    20

    40

    60

    80

    100

    120

    10 20 30 40 50 60 80Tangentia

    lresidualstresses,

    N/mm2

    Average cooling rate to 400, C/h

    Dia

    m.=

    1000

    mm

    800

    mm

    600

    mm

    400mm

    200m

    m

    FIGURE 6.54 Tangential residual stresses in a CrMoNiV alloy steel depending on the cooling rate and

    cross-section diameter. (From G. Spur and T. Stoferle (Eds.), Handbuch der Fertigungstechnik, Vol. 4/2,

    Warmebehandeln, Carl Hanser, Munich, 1987.)

    2006 by Taylor & Francis Group, LLC.