modelling of concrete beams reinforced with frp composite

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FRP * * [email protected] (combined finite element /discrete element FRP FRP FRP ***Download is permitted to HPC-Lab members and for educational purposes only***

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Page 1: Modelling of Concrete Beams Reinforced with FRP Composite

FRP

*

*[email protected]

(combined finite element /discrete element

FRP

FRP

FRP

***Download is permitted to HPC-Lab members and for educational purposes only***

Page 2: Modelling of Concrete Beams Reinforced with FRP Composite

MeierKimMeier

CFRPreinforced polymer)(carbon fiber-

kaiser

CFRP

CFRP

FRP

CFRP

FRP

FRPFRP

Drucker -

Prager

ه

CFRP

CFRP

CFRP

Page 3: Modelling of Concrete Beams Reinforced with FRP Composite

CFRP

FRP

FRP

FRP

II

Hashin

FRP

S

FEE

SCE

EEE

pin

e

ine

1

1

1

CSF

Hashin2313 S,S33S0Z

0R

1)()()(

2

0

223213

2

0

233

R

SS

Z

S

),S(F

0)()(),( ZSgSF

Page 4: Modelling of Concrete Beams Reinforced with FRP Composite

SASSg T)(

A=

2

0

0

2

0

0

)(00000

0)(0000

000000

000100

000000

000000

R

Z

R

Z

)(z

)1()( zz

)(z cGz

cG

lZ

2

Z

F

Page 5: Modelling of Concrete Beams Reinforced with FRP Composite

1,)(

1

Z

FNSA

SgS

F

1

)1

1

1

01

1(

n

n

p

nnn SASg

ESCE

1

1

1

1

1)(

p

nn

n

n EEAz

CS

tr

n EPS 1

ntnn+11nt

HPNN

PNPNPD

T

T

)(

z

z

ZH

1

Z

(global search)

(zonal contact detection test)(binary tree structure)

nn 1

Page 6: Modelling of Concrete Beams Reinforced with FRP Composite

rz

MS

S

iiC , 1iCM

rMRS

0)()(,0)()( 11 iiiii CrrCCCrC

ir

Page 7: Modelling of Concrete Beams Reinforced with FRP Composite

|| 1

1

ii

ii

CC

CCnnnSSr )(

nnode

),(

r

ah

xr

T

1

),(),(

nnode

i

iih

h

S),(

Page 8: Modelling of Concrete Beams Reinforced with FRP Composite

T

4321 ],,,[ hhhhh

)1)(1(,)1)(1(

)1)(1(,)1)(1(

41

441

3

41

241

1

hh

hh

T

321 ],,[ hhhh

1,, 321 hhh

rsx

),( rxx srs

),( cpA

rsrscpA xxT

21),(

),( CC (closest point)

0 ),( cpA

),(2 CCcpn Ag

0

0 , sxa

),( CC

0

T0 ),( ahr CCC

Page 9: Modelling of Concrete Beams Reinforced with FRP Composite

sr

00

sCT xrg

CFRP

Page 10: Modelling of Concrete Beams Reinforced with FRP Composite

(7.62x7.62x76.2cm)3x3x30in

CFRPCFRP(7.62x76.2cm)

thixotropicepoxy

CFRPdrop-weight

CFRP

Page 11: Modelling of Concrete Beams Reinforced with FRP Composite

CFRP

CFRP

CFRP

CFRP

E0 2.4x104

Mpa 02206.9Mpa

v 0.2 0137.9Gpa

ft 4.35 Mpa 60%

fc 46.4 Mpa 0.4953mm

u 39.5 Mpa 1577.25kg/m3

1892.7 kg/m3

Page 12: Modelling of Concrete Beams Reinforced with FRP Composite

FRP

CFRP

FRP

FRP

0.5 N/mmMpa

s

s

s

s

هه

FRPs s

s

ه

Rankine

Page 13: Modelling of Concrete Beams Reinforced with FRP Composite

s450

ه

st=

s450s750s750

Page 14: Modelling of Concrete Beams Reinforced with FRP Composite

s

st=

st=

ss

s

Page 15: Modelling of Concrete Beams Reinforced with FRP Composite

s s

3d analysis(with possibilty of delamination) 2d (with fracture & delamination)

ه

هه

s200

s400s500s600

Page 16: Modelling of Concrete Beams Reinforced with FRP Composite

s230

s555

s750

s730

st=

st=

st=

st=

Page 17: Modelling of Concrete Beams Reinforced with FRP Composite

FRP

FRP

1. Meier , U., Bridge repair with high performance composite materials . Material und

Technik ( in German ), 1978,4, 125-128. 2. Meier , U., Bridge repair with high performance composite materials . Material und

Technik ( in German ), 1978,4, 125-128. 3. Kim, P. and Meier, U., CFRP cables for large structures. Advance Composite Materials in

Civil Engineering Structures . In Proceedings of the Materials Division, ASCE, Las Vegas, NV, 1991, PP. 233-244.

4. Kaiser, H., Strengthening of reinforced concrete with epoxy-bonded carbon fiber plastics. Doctoral dissertation , ETH,1989 (in German).

5. Meier, U., Carbon fiber-reinforced polymers: modern materials in bridge engineering . Structural Engineering International 1992,January,7-12.

6. Meier, U., Deuring , M., Mier, H. and Schwegler , G., Strengthening of structures with CFRP laminates: research and application in Switzerland. In Advanced Composite Materials in Bridges and Structures , eds K. W. Neale and P. Labossiere ,CSCE,1992, pp. 243-251.

7. Deuring , M., External reinforcement of concrete structures with prestressed FRP. Swiss Federal Laboratories for Materials Testing and research, Report Number 224, Dubendorf , Switzerland ,1993 (in German).

8. Meier, U., Reinforcement of structures with fibrous composite materials . VDI Report Number 1080, Dubedorf, Switzerland ,1994 (in German).

9. Triantafillou, T. C., Kim, P. and Meier, U., Optimization of hybrid aluminum /CFRP box beams . International Journal of Mechanics and Science , 1991, 33, 729-739.

10. Triantafillou, T. C., Meier, U., Innovative design of FRP combined with concrete . In Advanced Composite Materials in Bridges and Structures ,eds K.W. Neale, and P. Labossiere . CSCE , 1992, pp. 491-500.

11. Triantafillou, T.C., Deskovic, N. and Deuring, M., Strengthening of concrete structures with prestressed fiber reinforced plastic sheets . American Concrete Institute Structural Journal , 1992,89. 235-244.

12. Zhang S, Raoof M, Wood LA. Prediction of peeling failure of reinforced concrete beams with externally bonded plates. Proceedings of the Institution of Civil Engineers. Struct Build 1997;122:493-6.

13. Ziraba YN. Computational model for reinforced concrete beams strengthened by epoxy bonded steel plates. Finite Elem Anal Des 1995;12(4):203-19.

14. Arduini M, Tommas AD, Manfroni O. In: Taerwe L, editor . Fracture mechanism of concrete beams bonded with composite plates. Non-metalic (FRP) reinforcement for concrete structures. E&FN Spon: RILEM ,1995.P. 484-91.

15. He JH, Pilakoutas K, Waldron P. Analysis of externally strengthening RC beams with steel and CFRP plates. Proc. 7

th int conf. On structural faults and repairs 1997; Edinburgh, 83-

92. 16. Jerome DM, Ross CA. Simulation of the dynamic response of concrete beams externally

reinforced with carbon-fiber reinforced plastic. Comput struct 1997;64(5/6): 1129-53.

Page 18: Modelling of Concrete Beams Reinforced with FRP Composite

17. Rahimi R, Hutchinson A. Concrete beams strengthening with externally bonded FRP plates. ASCE J Compos Constr 2001;5(1):44-56.

18. Zhishen WU, Jun Yin , Fracturing behaviors of FRP-strengthened concrete structures , Engineering Fractures to (2003) 1339-1355.

19. Hedog NTV and Zhishen WU, Peeling off ceriterion for FRP-Strengthened R/C Flexural, FRP composite in Civil Engineering, J. G. Teng (Ed.) 2001.

20. Z.Hashin , Faiure criteria for unidirectional composites, J. for Applied Mechanics 47 (1980) 329-334.

21. W.Sprenger , F. Gruttmann, W. Wagner, Delimitation growth analysis in laminated structures with continuum – based 3D –shell elements and a viscoplastic softening model comput. Methods Appl.Mech. Engrg.185(2000)123-139.

22. FEA (2000); “LUSAS User Manual”, Ver. 13.2, FEA Ltd. 23. Hallquist J.O., Goudreau G.L., Benson D.J. (1985); “Sliding interfaces with contact-impact in

large-scale Lagrangian computations”, Computer Methods in Applied Mechanics and Engineering, Vol.51, pp.107-137.