X-FEM a good candidate for energy conservation in simulation of brittle dynamic crack propagation

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 5, 2008, Pages 309-318

  Combescure, A ^a   Gravouil, A ^a   Gregoire D ^a   Rethore J ^b  

^a UNIVERSITÉ DE LYON   (France)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Cohesive zone; Crack arrest; Dynamic crack propagation; Remeshing; Simulation; X FEM

Indexed keywords

BRITTLENESS; ENERGY CONSERVATION; FINITE ELEMENT METHOD; MESH GENERATION;

COHESIVE ZONE; DYNAMIC CRACK PROPAGATION; ISOTROPIC PLATE;

CRACK PROPAGATION;

BRITTLENESS; CRACK PROPAGATION; ENERGY CONSERVATION; FINITE ELEMENT METHOD; MESH GENERATION;

EID: 35548976761     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.04.011     Document Type: Article

References (35)

1. Prabel B., Combescure A., Gravouil A., and Marie S. Level set X-FEM non-matching meshes: application to dynamic crack propagation in elastic-plastic media. Int. J. Numer. Methods Engrg. 69 (2007) 1533-1569
2. Allix O., and Deu J.F. Delayed-damage modelling for fracture prediction of laminated composites under dynamic loading. Engrg. Trans. 45 1 (1997) 29-46
3. Menouillard T., Rethore J., Combescure A., and Bung H. Efficient explicit time stepping for the extended Finite Element Method (X-FEM). Int. J. Numer. Methods Engrg. 68 9 (2006) 911-939
4. Rethore J., Gravouil A., and Combescure A. An energy conserving scheme for dynamic crack growth using extended finite element method. Int. J. Numer. Methods Engrg. 63 (2005) 631-659
5. Moes N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. Int. J. Numer. Methods Engrg. 46 1 (1999) 133-150
6. Curran D.R., and Seaman L. Dynamic failure of solids. Phys. Rep. 147 (1987) 253-388
7. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I - Yield criteria and flow rules for porous ductile media. J. Mech. Phys. Solids 17 (1977) 201-217
8. Moes N., Gravouil A., and Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets. Part I: Mechanical model. Int. J. Numer. Methods Engrg. 53 11 (2002) 2549-2568
9. Gravouil A., Moes N., and Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update. Int. J. Numer. Methods Engrg. 53 11 (2002) 2569-2586
10. Ladeveze P. A damage computational method for composite structures. Comput. Struct. 44 (1992) 79-87
11. Ladeveze P., Allix O., and Deu J.F. A mesomodel for localization and damage computation in laminates. Comput. Methods Appl. Mech. Engrg. 183 (2000) 105-122
12. Remmers J., de Borst R., and Needleman A. A cohesive segments method for simulation of crack growth. Comput. Mech. 31 (2003) 69-77
13. Attigui P., and Petit C. Mixed mode separation in dynamic fracture mechanics: new path independent integrals. Int. J. Fracture 84 1 (1997) 19-36
14. L.B. Freund, Dynamic Fracture Mechanics, Cambridge Monographs on Mechanics and Applied Mathematics, 1990.
15. Lemaitre J. A Course on Damage Mechanics (1996), Springer, Paris
16. Suffis A., and Combescure A. Modèle d'endommagement à effet retard, étude numérique et analytique de l'évolution de la longueur caractéristique. Rev Européenne Eléments Finis 11 5 (2002)
17. Suffis A., Combescure A., and Lubrecht A. Damage model with delay effect: analytical and numerical studies of the evolution of the characteristics length. Int. J. Solids Struct. 40 (2003) 3463-3476
18. A Suffis, Développement d'un modèle d'endommagement à taux de croissance contrôlée pour la simulation robuste de ruptures sous impact, Ph.D. thesis no. 04ISAL0033, 2004, INSA-Lyon.
19. Bui H.D. Mécanique de la rupture fragile (1978), Masson
20. Bui H.D. Associated path independent J integral for separation mixed modes. J. Mech. Phys. Solids 31 (1983) 439-448
21. Tuler F.R., and Butcher B.M. A criterion for the time dependence of dynamic fracture. Int. J. Fracture 4 (1968) 431-437
22. Black T., and Belytschko T. Elastic crack growth in finite element with minimal remeshing. Int. J. Numer. Methods Engrg. 45 (1999) 601-620
23. Belytschko T., Moes N., Usui S., and Parimi C. Arbitrary discontinuities in finite elements. Int. J. Numer. Methods Engrg. 50 4 (2001) 993-1013
24. Rethore J., Gravouil A., and Combescure A. A stable numerical scheme for the finite element simulation of dynamic crack propagation with remeshing. Comput. Methods Appl. Mech. Engrg. 193 (2004) 4493-4510
25. Krysl P., and Belytschko T. Dynamic propagation of arbitrary 3D cracks. Int. J. Numer. Methods Engrg. 44 6 (1999) 767-800
26. Kanninen M., and Popelar C.H. Advanced Fracture Mechanics (1985), Oxford University Press
27. Maigre H., and Rittel D. Mixed-mode quantification for dynamic fracture initiation: application to the compact compression specimen, 1993. Int. J. Solids Struct. 30 23 (1993) 3233-3244
28. Zhou F., and Molinari J.F. Three dimensional dynamic crack propagation using cohesive elements: A methodology to address mesh dependency. Int. J. Numer. Methods Engrg. 59 1 (2004) 1-24
29. Zhou F., Molinari J.F., and Shioya T. A rate-dependent cohesive model for dynamic crack propagation in brittle materials. Engrg. Fracture Mech. 72 9 (2005) 1383-1410
30. Xu X.P., and Needleman A. Numerical simulations of fast crack growth in brittle solids. J. Mech. Phys. Solids 42 9 (1994) 1397-1407
31. Camacho G.T., and Ortiz M. Computational modelling of impact damage in brittle materials. Int. J. Solids Struct. 33 20 (1996) 2899-2938
32. Falk M.L., Needleman A., and Rice J.R. A critical evaluation of cohesive zone models of dynamic fracture. J. Phys. IV 5 (2001) 43-50
33. Ortiz M., and Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int. J. Numer. Methods Engrg. 44 9 (1999) 1267-1282
34. Pandolfi A., and Ortiz M. An efficient adaptive procedure for three-dimensional fragmentation simulations. Engrg. Comput. 18 (2002) 148-159
35. Ruiz G., Pandolfi A., and Ortiz M. Three-dimensional cohesive modeling of dynamic mixed-mode fracture. Int. J. Numer. Methods Engrg. 52 (2001) 97-120