Abstract
A mesoscale model for finite element analysis of failure in laminates is presented. The model consists of separate parts for failure inside a ply (intraply) and failure between plies (interply). Both parts offer a description from onset of failure to complete local failure, thus allowing for progressive failure analysis. Intraply failure is simulated with a softening plasticity model based on a Tsai-Wu criterion with viscoplastic regularization. Details are presented on the implementation of the softening law for orthotropic materials in finite element computation. Interply failure is modeled using interface elements with a damage law for mixed mode delamination. The performance of the model is illustrated by means of an analysis of a laminate with a sharp internal notch – a case in which different modes of ply failure successively take place and interact with failure between the plies.
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References
Bazant ZP, Pijaudier-Cabot G (1989) J Eng Mech 115:755-767
Bazant ZP, Oh B (1983) Crack band theory for fracture of concrete. Mater Struct 16:155-177
Bi ćani ć N, Pearce CJ, Owen DRJ (1994) Failure predictions of concrete like materials using softening Hoffman plasticity model. In: Mang H, Bi ćani ć N, de Borst R (eds) Proceedings of EURO-C 1994. Pineridge Press, Swansea
Camanho PP, D ávila CG, de Moura MF (2003) Numerical simulation of mixed-mode progressive delamination in composite materials. J Compos Mater 37:1415-1438
Camanho PP, D ávila CG, Pinho ST et al. (2006) Prediction of in situ strengths and matrix cracking in composites under transverse tension and in-plane shear. Compos Part A 37:165-176
Daniel IM, Ishai O (2006) Engineering Mechanics of Composite Materials. Oxford university press, New York
D ávila CG, Camanho PP, Rose CA (2005) Failure criteria for FRP laminates. J Compos Mater 39:323-345
Hager WW (1988) Applied Numerical Linear Algebra. Prentice-Hall, Englewood Cliffs, NJ
Hashin Z (1980) Failure Criteria for Unidirectional Fiber Composites. J Appl Mech 47: 329-334
Hinton MJ, Soden PD (1998) Predicting failure in composite laminates: the background to the exercise. Compos Sci Tech 58:1001-1010
Hoffman O (1967) The Brittle Strength of orthotropic materials. J Compos Mater 1:200-206
Jiang WG, Hallett SR, Green BG, Wisnom MR (2007) A concise interface constitutive law for analysis of delamination and splitting in composite materials and its application to scaled notched tensile specimens. Int J Numer Methods Eng 69:1982-1995
Li X, Duxbury PG, Lyons P (1994) Considerations for the application and numerical imple-mentation of strain hardening with the Hoffman yield criterion. Comput Struct 52:633-644
Mi Y, Crisfield A, Hellweg HB, Davies GAO (1998) Progressive delamination using interface elements. J Compos Mater 32:1246-1272
Muhlhaus HB, Aifantis EC (1991) A variational principle for gradient plasticity. Int J Solids Struct 28:845-858
Nairn JA, Hu S (1994) Matrix microcracking. In: Talreja R (ed) Damage Mechanics of Composite Materials. Elsevier science, Amsterdam
Puck A, Sch ürmann H (1998) Failure analysis of FRP laminates by means of physically based phenomenological models. Compos Sci Technol 58:1045-1067
Remmers JJC, Wells GN, de Borst R (2003) A solid-like shell element allowing for arbitrary delaminations. Int J Numer Method Eng 58:2013-2040
Schellekens JCJ, de Borst R (1990) The use of the Hoffman yield criterion in finite element analysis of anisotropic composites. Comput Struct 37:1087-1096
Schellekens JCJ, de Borst R (1993) On the numerical integration of interface elements. Int J Numer Method Eng 36:43-66
Schellekens JCJ, de Borst R (1994) Free edge delamination in carbon-epoxy laminates: a novel numerical/experimental approach. Compos Struct 28:357-373
Sluys LJ (1992) Wave propagation, localisation and dispersion in softening solids. Ph.D. thesis, Delft University of Technology
Sun CT, Tao J (1998) Prediction of failure envelopes and stress/strain behaviour of composite laminates. Compos Sci Technol 58:1125-1136
Tsai SW, Wu EM (1971) A general theory of strength for anisotropic materials. J Compos Mater 5:58-80
Turon A, Camanho PP, Costa J, D ávila CG (2006) A damage model for the simulation of delamination in advanced composites under variable-mode loading. Mech Mater 38:1072-1089
Turon A, D ávila CG, Camanho PP, Costa J (2007) An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models. Eng Fract Mech 74:1665-1682
Wagner W, Gruttmann F, Sprenger W (2001) A finite element formulation for the simulation of propagating delaminations in layered composite structures. Int J Numer Method Eng 51:1337-1359
Wang WM, Sluys LJ, de Borst R (1997) Viscoplasticity for instabilities due to strain softening and strain-rate softening. Int J Numer Method Eng 40:3839-3864
Wisnom MR, Chang FK (2000) Modelling of splitting and delamination in notched cross-ply laminates. Compos Sci Technol 60:2849-2856
Yang QD, Cox BN (2005) Cohesive models for damage evolution in laminated composites. Int J Fract 133:107-137
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van der Meer, F.P., Sluys, L.J. (2008). Interaction Between Intraply and Interply Failure in Laminates. In: Mechanical Response of Composites. Computational Methods in Applied Sciences, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8584-0_7
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DOI: https://doi.org/10.1007/978-1-4020-8584-0_7
Publisher Name: Springer, Dordrecht
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