A level set model for delamination - Modeling crack growth without cohesive zone or stress singularity

Engineering Fracture Mechanics

Volumn 79, Issue , 2012, Pages 191-212

  Van der Meer, F P ^a,b   Moes N ^b   Sluys, L J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b INSTITUT DE RECHERCHE EN GÉNIE CIVIL ET MÉCANIQUE GEM   (France)

Author keywords

Composites; Crack growth; Delamination; Extended finite element method; Fracture mechanics

Indexed keywords

ANALYTICAL SOLUTIONS; COHESIVE ZONES; CONFIGURATIONAL FORCE; CRACK FRONTS; ESHELBY TENSOR; EXTENDED FINITE ELEMENT METHOD; FREE EDGE; LEVEL SET; LEVEL-SET MODEL; NUMERICAL EXAMPLE; PROGRESSIVE DELAMINATION; SHARP TRANSITION; STRESS SINGULARITIES; STRONG DISCONTINUITY; WEAK DISCONTINUITY;

COMPOSITE MATERIALS; CRACK PROPAGATION; DELAMINATION; FINITE ELEMENT METHOD; FRACTURE MECHANICS; NUMERICAL METHODS; STEEL SHEET; TENSORS;

CRACKS;

EID: 84855194420     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2011.10.013     Document Type: Article

References (51)

1. Allix O., Ladevèze P. Interlaminar interface modelling for the prediction of delamination. Compos Struct 1992, 22:235-242.
2. Schellekens J.C.J., de Borst R. Free edge delamination in carbon-epoxy laminates: a novel numerical/experimental approach. Compos Struct 1994, 28:357-373.
3. Alfano G., Crisfield M.A. Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues. Int J Numer Method Eng 2001, 1701-1736.
4. Camanho P.P., Dávila C.G., de Moura M.F. Numerical simulation of mixed-mode progressive delamination in composite materials. J Compos Mater 2003, 37:1415-1438.
5. Yang Q.D., Cox B.N. Cohesive models for damage evolution in laminated composites. Int J Fract 2005, 133:107-137.
6. Turon A., Camanho P.P., Costa J., Dávila C.G. A damage model for the simulation of delamination in advanced composites under variable-mode loading. Mech Mater 2006, 38:1072-1089.
7. Jiang W.-G., Hallett S.R., Green B.G., Wisnom M.R. 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 Method Eng 2007, 69:1982-1995.
8. van der Meer F.P., Sluys L.J. Mesh-independent modeling of both distributed and discrete matrix cracking in interaction with delamination. Engng Fract Mech 2010, 77:719-735.
9. Moës N., Dolbow J., Belytschko T. A finite element method for crack growth without remeshing. Int J Numer Method Eng 1999, 46:131-150.
10. Esna Ashari S, Mohammadi S. Modeling delamination in composite laminates using XFEM by new orthotropic enrichment functions. In: IOP Conference series: materials science and engineering, vol. 10; 2010. p. 012240.
11. Wells G.N., de Borst R., Sluys L.J. A consistent geometrically non-linear approach for delamination. Int J Numer Method Eng 2002, 54:1333-1355.
12. Remmers J.J.C., Wells G.N., de Borst R. A solid-like shell element allowing for arbitrary delaminations. Int J Numer Method Eng 2003, 58:2013-2040.
13. Chaboche J.L., Feyel F., Monerie Y. Interface debonding models: a viscous regularization with a limited rate dependency. Int J Solids Struct 2001, 38:3127-3160.
14. Turon A., Dávila C.G., Camanho P.P., Costa J. An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models. Engng Fract Mech 2007, 74:1665-1682.
15. Harper P.W., Hallett S.R. Cohesive zone length in numerical simulations of composite delamination. Engng Fract Mech 2008, 75:4774-4792.
16. van der Meer FP, Sluys LJ, Hallett SR, Wisnom MR. Computational modeling of complex failure mechanisms in laminates, J Compos Mater. doi:10.1177/0021998311410473.
17. Yang Q.D., Fang X.J., Shi J.X., Lua J. An improved cohesive element for shell delamination analyses. Int J Numer Method Eng 2010, 83:611-641.
18. Crisfield M.A., Alfano G. Adaptive hierarchical enrichment for delamination fracture using a decohesive zone model. Int J Numer Method Eng 2002, 54:1369-1390.
19. Guiamatsia I., Ankersen J.K., Davies G.A.O., Iannucci L. Decohesion finite element with enriched basis functions for delamination. Compos Sci Technol 2009, 69:2616-2624.
20. Samimi M., Dommelen J.A.W.V., Geers M.G.D. An enriched cohesive zone model for delamination in brittle interfaces. Int J Numer Method Eng 2009, 80:609-630.
21. Willis J.R. A comparison of the fracture criteria of Griffith and Barenblatt. J Mech Phys Solids 1967, 15:151-162.
22. Rybicki E.F., Kanninen M.F. A finite element calculation of stress intensity factors by a modified crack closure integral. Engng Fract Mech 1977, 9:931-938.
23. Irwin G.R. Analysis of stresses and strains near the end of a crack transversing a plate. J Appl Mech 1957, 24:361-366.
24. Krueger R. Virtual crack closure technique: history, approach, and applications. Appl Mech Rev 2004, 57:109-143.
25. Shen F., Lee K.H., Tay T.E. Modeling delamination growth in laminated composites. Compos Sci Technol 2001, 61:1239-1251.
26. Xie D., Biggers S.B. Strain energy release rate calculation for a moving delamination front of arbitrary shape based on the virtual crack closure technique. Part I: formulation and validation. Engng Fract Mech 2006, 73:771-785.
27. Pietropaoli E., Riccio A. On the robustness of finite element procedures based on virtual crack closure technique and fail release approach for delamination growth phenomena. Definition and assessment of a novel methodology. Compos Sci Technol 2010, 70:1288-1300.
28. 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 2001, 38:2597-2613.
29. Zou Z., Reid S.R., Li S., Soden P.D. General expressions for energy-release rates for delamination in composite laminates. Proc Roy Soc London, Ser A 2002, 458:645-667.
30. Zou Z., Reid S.R., Li S., Soden P.D. Application of a delamination model to laminated composite structures. Compos Struct 2002, 56:375-389.
31. Sethian J.A. Level set methods and fast marching methods 1999, Cambridge University Press. second ed.
32. Sukumar N., Chopp D.L., Moës N., Belytschko T. Modeling holes and inclusions by level sets in the extended finite-element method. Comput Method Appl Mech Eng 2001, 190:6183-6200.
33. Moës N., Cloirec M., Cartraud P., Remacle J.-F. A computational approach to handle complex microstructure geometries. Comput Method Appl Mech Eng 2003, 192:3163-3177.
34. Hansbo A., Hansbo P. A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Comput Method Appl Mech Eng 2004, 193:3523-3540.
35. Béchet é., Moës N., Wohlmuth B. A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method. Int J Numer Method Eng 2008, 78:931-954.
36. Mergheim J., Steinmann P. A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities. Comput Method Appl Mech Eng 2006, 195:5037-5052.
37. Dolbow J., Harari I. An efficient finite element method for embedded interface problems. Int J Numer Method Eng 2009, 78:229-252.
38. Moonen P., Sluys L.J., Carmeliet J. A continuous-discontinuous approach to simulate fracture processes in quasi-brittle materials. Philos Mag 2008, 88:3281-3298.
39. van der Meer F.P., Sluys L.J. A phantom node formulation with mixed mode cohesive law for splitting in laminates. Int J Fract 2009, 158:107-124.
40. Ji H., Dolbow J.E. On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method. Int J Numer Method Eng 2004, 61:2508-2535.
41. Moës N., Béchet E., Tourbier M. Imposing Dirichlet boundary conditions in the extended finite element method. Int J Numer Method Eng 2006, 67:1641-1669.
42. Pradeilles-Duval R.-M., Stolz C. Mechanical transformations and discontinuities along a moving surface. J Mech Phy Solids 1995, 43:91-121.
43. Nilsson K.-F., Storåkers B. On interface crack growth in composite plates. J Appl Mech 1992, 59:530-538.
44. Ousset Y. Numerical simulation of delamination growth in layered composite plates. Eur J Mech Solids 1999, 18:291-312.
45. Osher S., Fedkiw R. Level set methods and dynamic implicit surfaces 2003, Springer Verlag.
46. Broberg K.B. Cracks and fracture 1999, Academic Press, San Diego, CA.
47. Geuzaine C., Remacle J.-F. Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int J Numer Method Eng 2009, 79:1309-1331.
48. Guimard J.-M., Allix O., Pechnik N., Thévenet P. Characterization and modeling of rate effects in the dynamic propagations of mode-II delamination in composite laminates. Int J Fract 2009, 160:55-71.
49. Verhoosel C.V., Remmers J.J.C., Gutiérrez M.A. A dissipation-based arc-length method for robust simulation of brittle and ductile failure. Int J Numer Method Eng 2009, 77:1290-1321.
50. Bischoff M., Ramm E. Shear deformable shell elements for large strains and rotations. Int J Numer Method Eng 1997, 40:4427-4449.
51. Reeder J.R., Crews J.R. Mixed-mode bending method for delamination testing. AIAA J 1990, 28:1270-1276.