A model for the stress-strain behavior of fiber composites with matrix cracks is presented and applied to the deformation of fiber reinforced composite pipes under different combinations of hoop and axial stress. The model provides a good description of the nonlinear stress-strain relationship that develops in composites when the matrix is damaged by the progressive nucleation of microcracks during loading. Ply properties are expressed as a function of crack density, calculated as a function of increasing stress using the shear-lag approximation. The predictions are in very good agreement with data from multiaxial tests on ±55° filament wound glass-reinforced epoxy pipes.
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References
1.
1. Talreja, R. (1987). Fatigue of Composite Materials, Technomic Publishing inc., Lancaster, Pennsylvania, USA .
3. Kashtalyan, M. and Soutis, C. (2000a). Modelling Stiffness Degradation Due to Matrix Cracking in Angleply Composite Laminates , Plastics, Rubber and Composites, 29(9): 482-488 .
4.
4. Kashtalyan, M. and Soutis, C. (2000b). Stiffness Degradation in Cross-Ply Laminates Damaged by Transverse Cracking and Splitting , Composites A: April 2000, 31(4): 335-351 .
5.
5. Nairn, J.A. and Hu, S. (1994). Matrix Microcracking. In: Talreja, R. (ed.), Damage Mechanics of Composite Materials, Composite Materials Series (Series Editor: Pipes, R.B.), Vol. 9, pp. 187-243, Elsevier Science Publishers Ltd.
6.
6. Foral, R.F. and Gilbreath, D.R. (1989). Delamination Failure Modes in Filament Wound Composite Tubes. In: Composite Materials: Fatigue and Fracture, Vol. 2, pp. 313-325, ASTM STP 1012.
7.
7. Jones, M.L.C. and Hull, D. (1979). Microscopy of Failure Mechanisms in Filament Wound Pipes , Journal of Materials Science, 14: 165-174 .
8.
8. Hull, D., Legg, M.J. and Spencer, B. (1978). Failure of Glass/Polyester Filament Wound Pipe , Composites, 9: 17-24 .
9.
9. Hashin, Z. (1985). Analysis of Cracked Laminates: A Variational Approach , Mechanics of Materials, 4: 121-136 .
10.
10. Hashin, Z. (1986). Analysis of Stiffness Reduction of Cracked Cross-ply Laminates , Engineering Fracture Mechanics, 25: 771-778 .
11.
11. Hinton, M.J., Kadour, A.S. and Soden, P.D. (1999). Prediction of World-wide Failure Theories Part B: Some Experimental Comparisons . In: Proceedings of 4th int. Conf. on Deformation and Fracture of Composites, pp. 11-22 , Institute of Materials, London.
12.
12. Soden, P.D., Hinton, M.J. and Kaddour, A.S. (1998). A Comparison of the Predictive Capabilities of Current Failure Theories for Composite Laminates , Composites Science and Technology, 58: 1225-1254 .
13.
13. Allen, D.H. (1994). Damage Evolution in Laminates, In: Talreja, R. (ed.), Damage Mechanics of Composite Materials, Composite Materials Series (Series Editor: Pipes, R.B.), Vol. 9, pp. 79-115, Elsevier Science Publishers Ltd.
14.
14. Garrett, K.W. and Bailey, J.E. (1977). Multiple Transverse Fracture in 90 Cross-ply Laminates of a Glass Fibre-reinforced Polyester , Journal of Materials Science, 12: 157-168 .
15.
15. McCartney, L.N. (1991). Analytical Models of Stress Transfer in Unidirectional Composites and Cross-ply Laminates, and Their Application to the Prediction of Matrix/Transverse Cracking. In: Reddy, J.N. and Reifsnider, K.L. (eds), Local Mechanics Concepts for Composite Materials, pp. 251-282.
16.
16. Gudmundson, P. and Zang, W. (1993). An Analytical Model for the Thermoelastic Properties of Composite Laminates Containing Transverse Matrix Cracks , International Journal of Solids and Structures, 30: 3211-3231 .
17.
17. Sun, C.T. and Chen, J.L. (1992). A Simple Flow Rule for Characterizing Non-linear Behavior of Fiber Composites , J. Composite Materials, 23: 1009-1021 .
18.
18. Perreux, D. and Lazuardi, D. (2001). Residual Stress Effect on the Non-linear Behaviour of Composite Laminates , Composites Science and Technology, 61(2): 177-191 .
19.
19. Richard, F. and Perreux, D. (2001). The Safety-factor Calibration of Laminates for Long-term Applications: Behaviour Model and Reliability Method , Composites Science and Technology, 61(14): 2087-2094 .
20.
20. Hale, J.M., Gibson, A.G. and Speake, S.D. (2002). Biaxial Failure Envelopes and Creep Testing of Fibre Reinforced Plastic Pipes in High Temperature Aqueous Environments , J. Composite Materials, 36(3): 257-270 .
21.
21. Hill, R. (1963). Elastic Properties of Reinforced Solids: Some Theoretical Principles , Journal of Mechanics and Physics of Solids, 11: 357-372 .
22.
22. Benthem, J.P. and Koiter, W.T. (1972). Asymptotic Approximations to Crack Problems. In: Sih, C.G. (ed.), Mechanics of Fracture I: Methods of Analysis and Solutions of Crack Problems, pp. 131-178, Noordhoff, Leyden .
