Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis

Advances in Engineering Software

Volumn 39, Issue 7, 2008, Pages 573-587

  Nistor, Ionel ^a   Pantalé, Olivier ^a   Caperaa, Serge ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Dynamic crack propagation; Dynamic energy release rate; eXtended Finite Element Method; Finite element programming; Partition of unity

Indexed keywords

APPROXIMATION THEORY; DATA PROCESSING; DYNAMIC LOADS; FINITE ELEMENT METHOD; NUMERICAL METHODS; OBJECT ORIENTED PROGRAMMING;

DYNAMIC CRACK PROPAGATION; DYNAMIC ENERGY RELEASE RATE; EXTENDED FINITE ELEMENT METHOD (X-FEM); FINITE ELEMENT PROGRAMMING; PARTITION OF UNITY;

CRACK PROPAGATION;

EID: 40649097044     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2007.06.003     Document Type: Article

References (32)

1. X.P. Xu A. Needleman Numerical simulation of fast crack growth in brittle solids J Mech Phys Solids 42 1994 1397 1434
2. G.T. Camacho M. Ortiz Computational modeling of impact damage in brittle materials Int J Solids Struct 33 1996 2899 2938
3. Remmers, JC, Borst, R, Needleman, A. Simulation of fast crack growth using cohesive segments. In: VII international conference on computational plasticity, COMPLAS; 2003.
4. I. Babuska J.M. Melenk The partition of unity method Int J Numer Meth Eng 40 1997 727 758
5. T. Belytschko H. Chen J. Xu G. Zi Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment Int J Numer Meth Eng 58 2003 1873 1905
6. T. Belytschko J. Fish B.E. Engelmann A finite element with embedded localisation zones Comput Meth Appl Mech Eng 70 1988 59 89
7. E.N. Dvorkin Finite elements with displacements interpolated embedded localization lines insensitive to mesh size and distorsions Int J Numer Meth Eng 30 1990 541 564
8. J.C. Simo J. Oliver F. Armero An analysis of strong discontinuities induced by strain softening in rate-independent inelastic solids Comput Mech 12 1993 277 296
9. M. Jirasek Comparative study on finite elements with embedded discontinuities Comput Meth Appl Mech Eng 188 2000 307 330
10. J. Oliver A.E. Huespe Theoretical and computational issues in modelling material failure in strong discontinuity scenarios Comput Meth Appl Mech Eng 193 2004 3195 3220
11. T. Belytschko T. Black Elastic crack growth in finite elements with minimal remeshing Int J Numer Meth Eng 45 1999 601 620
12. N. Moes J. Dolbow T. Belytschko A finite element method for crack growth without remeshing Int J Numer Meth Eng 46 1999 131 150
13. J. Dolbow N. Moes T. Belytschko Discontinuous enrichment in finite elements with a partition of unity method Finite Elem Anal Des 36 2000 235 260
14. J. Réthoré A. Gravouil A. Combescure A stable numerical scheme for the finite element simulation of dynamic crack propagation with remeshing Comput Meth Appl Mech Eng 193 2004 4493 4510
15. T. Menouillard J. Réthoré A. Combescure H. Bung Efficient explicit time stepping of the extended finite element method (X-FEM) Int J Numer Meth Eng 68 9 2006 911 939
16. O. Pantalé An object-oriented programming of an explicit dynamics code: application to impact simulation Adv Eng Softw 33 5 2002 275 284
17. N. Sukumar J.H. Prévost Modelling quasi-static crack growth with the extended finite element method. Part I: Computer implementation Int J Solids Struct 40 2003 7513 7537
18. R. Borst J.J.C. Remmers A. Needleman Mesh-independent discrete numerical representations of cohesive-zone models Eng Fract Mech 73 2006 160 177
19. G.M. Hulbert J. Chung Explicit time integration for structural dynamics with optimal numerical dissipation Comput Meth Appl Mech Eng 137 1996 175 188
20. O. Pantalé Parallelization of an object-oriented FEM dynamics code: influence of the strategies on the speedup Adv Eng Softw 36 6 2005 361 373
21. J.E. Dolbow A. Devan Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test Int J Numer Meth Eng 59 2004 47 67
22. G. Ventura On the elimination of quadrature subcells for discontinuous functions in the extended finite-element method Int J Numer Meth Eng 66 2006 761 795
23. F. Erdogan G. Sih On the crack extention in plates under plane loading and traverse shear J Basic Eng 85 1963 519 527
24. L.B. Freund Dynamic fracture mechanics 1998 Cambridge University Press
25. P. Krysl T. Belytschko The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks Int J Nume Meth Eng 44 1999 767 800
26. C.A. Duarte O.N. Hamzeh T.J. Liszka W.W. Tworzydlo A generalized finite element method for the simulation of three-dimensional dynamic crack propagation Comput Meth Appl Mech Eng 190 2001 2227 2262
27. T. Nishioka Computational aspects of dynamic fracture in comprehensive structural integrity 2003 Elsevier
28. T. Nishioka Computational dynamic fracture mechanics Int J Frac 86 1997 127 159
29. T. Nishioka S.N. Atluri On the computation of mixed-mode k-factors for a dynamically propagating crack, using path-independent integrals j ’ Eng Frac Mech 20 1984 193 208
30. C. Chessa T. Belytschko A local space-time discontinuous finite element method Comput Meth Appl Mech Eng 195 2006 1325 1343
31. Y.Y. Lu T. Belytschko M. Tabbara Element-free Galerkin method for wave propagation and dynamic fracture Comput Meth Appl Mech Eng 126 1995 131 153
32. T. Belytschko M. Tabbara Dynamic fracture using element-free Galerkin methods Int J Numer Meth Eng 39 1996 923 938