A continuum damage model for delaminations in laminated composites

Journal of the Mechanics and Physics of Solids

Volumn 51, Issue 2, 2003, Pages 333-356

  Zou, Z ^a   Reid, S R ^a   Li, Shuguang ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Continuum damage mechanics; Damage model; Delmaination; Interface; Laminated composites

Indexed keywords

DEGRADATION; DELAMINATION; FAILURE (MECHANICAL); FRACTURE MECHANICS; INTERFACES (MATERIALS); NONLINEAR EQUATIONS; STRESS ANALYSIS;

CONTINUUM DAMAGES;

LAMINATED COMPOSITES;

EID: 0037290346     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(02)00075-3     Document Type: Article

References (43)

1. Alfano G., Crisfield M.A. Finite element interface models for delamination analysis of laminated composites: mechanical and computational issues Int. J. Num. Methods Eng. 50:2001;1701-1736.
2. Allix O., Ladeveze P. Interlaminar interface modelling for the prediction of delamination. Compos. Struct. 22:1992;235-242.
3. Allix O., Ladeveze P., Corigliano A. Damage analysis of interlaminar fracture specimens. Compos. Struct. 31:1995;61-74.
4. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7:1962;55-129.
5. Borg R., Nilsson L., Simonsson K. Simulation of delamination in fibre composites with a discrete cohesive failure model. Compos. Sci. Tech. 61:2001;667-677.
6. Chen C., Fleck N.A., Lu T.J. The mode I crack growth resistance of metallic foams. J. Mech. Phys. Solids. 49:2001;231-259.
7. Corigliano A. Formulation, identification and use of interface models in numerical analysis of composite delamination. Int. J. Solids Struct. 30:1993;2779-2811.
8. Corigliano A., Ricci M. Rate-dependent interface models: formulation and numerical applications Int. J. Solids Struct. 38:2001;547-576.
9. Cui W., Wisnom M.R. A combined stress-based and fracture-mechanics-based model for predicting delamination in composites. Composites. 24:1993;467-474.
10. Desport, A., Turner, J., Adams, R.D., Pavier, M.J., 1993. Effect of ply blocking on interlaminar fracture in CFRP. In: Miravete, A. (Ed.), Proceedings of the Ninth International Conference on Composite Materials, Vol. 5. Woodhead Pub. Ltd., Cambridge, pp. 850-857.
11. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Solids. 8:1960;100-104.
12. Eason T.G., Ochoa O.O. Modelling progressive damage in composites: a shear deformable element for ABAQUS Compos. Struct. 34:1996;119-128.
13. Espinosa H.D., Dwivedi S.D., Lu H.C. Modelling impact induced delamination of woven fibre reinforced composites with contact/cohesive laws. Comput. Meth. Appl. Mech. Eng. 183:2000;259-290.
14. Geubelle P.H., Baylor J.S. Impact-induced delamination of composites: a 2D simulation Compos. Part B. 29B:1998;589-602.
15. Hashemi S., Kinloch A.J., Williams J.G. The analysis of interlaminar fracture in uniaxial fibre-polymer composites. Proc. R. Soc. London A. A427:1990;173-199.
16. Hellen T.K. On the method of the virtual crack extension. Int. J. Num. Methods Eng. 9:1975;187-207.
17. HKS, 1998. ABAQUS/Standard User's Manual, Version 5.8.
18. Hull D., Clyne T.W. An Introduction to Composite Materials. 2nd Edition:1996;Cambridge University Press, Cambridge, MA.
19. Irwin G.R. Analysis of stresses and strains near the end of a crack transversing a plate. J. Appl. Mech. 24:1957;361-366.
20. Krajcinovic D. Continuum damage mechanics. Appl. Mech. Rev. 37:1984;1-6.
21. Krajcinovic D., Fonseka G.U. The continuum damage theory of brittle materials, Part 1: general theory. J. Appl. Mech. 48:1981;809-824.
22. Li S., Reid S.R., Soden P.D. A continuum damage model for transverse matrix cracking in laminated fibre-reinforced composites. Philos. Trans. R. Soc. London A. A356:1998;2379-2412.
23. Liechti K.M., Wu J.D. Mixed-mode, time-dependent rubber/metal debonding. J. Mech. Phys. Solids. 49:2001;1039-1072.
24. Liu S. Quasi-impact damage initiation and growth of thick-section and toughened composite material. Int. J. Solids Struct. 31:1994;3079-3098.
25. Mi Y., Crisfield M.A., Davies G.A.O. Progressive delamination using interface elements. J. Compos. Mater. 32:1998;1246-1272.
26. Mohammed I., Liechti K.M. Cohesive zone modelling of crack nucleation at bimaterial corners. J. Mech. Phys. Solids. 48:2000;735-764.
27. Moura de M.F.S.F., Goncalves J.P.M., Marques A.T., Castro de P.M.S.T. Prediction of compressive strength of carbon-epoxy laminates containing delamination by using a mixed-mode damage model. Compos. Struct. 50:2000;151-157.
28. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 54:1987;525-531.
29. Needleman A. The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces. J. Mech. Phys. Solids. 47:1999;2411-2449.
30. Pandolfi A., Guduru P.R., Ortiz M., Rosakis A.J. Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel. Int. J. Solids Struct. 37:2000;3733-3760.
31. Parks D.M. A stiffness derivative finite element technique for determination of crack tip stress intensity factors. Int. J. Fract. 10:1974;487-502.
32. Petrossian Z., Wisnom M.R. Prediction of delamination initiation and growth from discontinuous plies using interface elements. Compos. Part A. 29A:1998;503-515.
33. Rahul-Kumar P., Jagota A., Bennison S.J., Saigal S. Interfacial failure in a compressive shear strength test of glass/polymer laminates. Int. J. Solids Struct. 37:2000;7281-7305.
34. Reedy E.D., Mello F.J., Guess T.R. Modelling the initiation and growth of delaminations in composite structures. J. Compos. Mater. 31:1997;812-831.
35. Ribicki E.F., Kanninen M.F. A finite element calculation of stress intensity factors by a modified crack closure integral. Eng. Fract. Mech. 9:1977;931-938.
36. Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 35:1968;379-386.
37. Tvergaard V., Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J. Mech. Phys. Solids. 40:1992;1377-1397.
38. Tvergaard V., Hutchinson J.W. The influence of plasticity on mixed mode interface toughness. J. Mech. Phys. Solids. 41:1993;1119-1135.
39. Xu X.P., Needleman A. Numerical simulation of fast crack growth in brittle solids. J. Mech. Phys. Solids. 42:1994;1397-1434.
40. Yang B., Ravi-Chandar K. Antiplane shear crack growth under quasi-static loading in damaging material. Int. J. Solids Struct. 35:1998;3695-3715.
41. Zou Z., Reid S.R., Soden P.D., Li S. Mode separation of energy release rate for delamination in composite laminates using sublaminates. Int. J. Solids Struct. 38:2001;2597-2613.
42. Zou Z., Reid S.R., Li S., Soden P.D. Modelling interlaminar and intralaminar damage in filament wound pipes under quasi-static indentation. J. Compos. Mater. 36:2002;477-499.
43. Zou Z., Reid S.R., Li S., Soden P.D. General expression for energy release rates for delamination in composite laminates. Proc. R. Soc. London A. A458:2002;645-667.