Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, vol.45, pp.601-620, 1999. ,
A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.133-150, 1999. ,
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A
Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model, International Journal for Numerical Methods in Engineering, vol.33, issue.2, pp.2549-2568, 2002. ,
DOI : 10.1002/nme.429
Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update, International Journal for Numerical Methods in Engineering, vol.47, issue.8, pp.2569-2586, 2002. ,
DOI : 10.1002/nme.430
URL : https://hal.archives-ouvertes.fr/hal-01007111
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment, International Journal for Numerical Methods in Engineering, vol.1, issue.12, pp.1873-1905, 2003. ,
DOI : 10.1002/nme.941
A generalized finite element method for the simulation of three-dimensional dynamic crack propagation, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.15-17, pp.2227-2262, 2001. ,
DOI : 10.1016/S0045-7825(00)00233-4
An energy-conserving scheme for dynamic crack growth using the eXtended finite element method, International Journal for Numerical Methods in Engineering, vol.101, issue.5, pp.631-659, 2005. ,
DOI : 10.1002/nme.1283
Mesh-independent discrete numerical representations of cohesive-zone models, Engineering Fracture Mechanics, vol.73, issue.2, pp.160-177, 2006. ,
DOI : 10.1016/j.engfracmech.2005.05.007
Dynamic crack propagation under mixed-mode loading ??? Comparison between experiments and X-FEM simulations, International Journal of Solids and Structures, vol.44, issue.20, pp.6517-6534, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.02.044
Efficient explicit time stepping for the eXtended Finite Element Method (X-FEM), International Journal for Numerical Methods in Engineering, vol.23, issue.9, pp.911-939, 2006. ,
DOI : 10.1002/nme.1718
URL : https://hal.archives-ouvertes.fr/hal-00938641
Appropriate extended functions for X-FEM simulation of plastic fracture mechanics, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.7-8, pp.7-8501, 2006. ,
DOI : 10.1016/j.cma.2005.02.007
URL : https://hal.archives-ouvertes.fr/hal-00373830
Discretevs smeared crack models for concrete fracture: bridging the gap, International Journal for Numerical and Analytical Methods in Geomechanics, vol.28, issue.78, pp.583-607, 2004. ,
DOI : 10.1002/nag.374
A local multigrid X-FEM strategy for 3-D crack propagation, International Journal for Numerical Methods in Engineering, vol.41, issue.11-12, pp.581-600, 2009. ,
DOI : 10.1002/nme.2427
URL : https://hal.archives-ouvertes.fr/hal-00938285
On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation???, Journal of the Mechanics and Physics of Solids, vol.56, issue.1, pp.200-214, 2008. ,
DOI : 10.1016/j.jmps.2007.07.010
Energy conservation of atomistic/continuum coupling, International Journal for Numerical Methods in Engineering, vol.39, issue.11, pp.1365-1386, 2009. ,
DOI : 10.1002/nme.2461
URL : https://hal.archives-ouvertes.fr/hal-00402217
Extended digital image correlation with crack shape optimization, International Journal for Numerical Methods in Engineering, vol.47, issue.2, pp.248-272, 2008. ,
DOI : 10.1002/nme.2070
Shear-band capturing using a multiscale extended digital image correlation technique, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.49-52, pp.49-525016, 2007. ,
DOI : 10.1016/j.cma.2007.06.019
Experimental investigation of localized phenomena using digital image correlation, Philosophical Magazine, vol.364, issue.28-29, pp.28-293339, 2008. ,
DOI : 10.1002/nme.849
Extended three-dimensional digital image correlation (X3D-DIC), Comptes Rendus M??canique, vol.336, issue.8, pp.643-649, 2008. ,
DOI : 10.1016/j.crme.2008.06.006
Optimal convergence analysis for the extended finite element method Available from, 2009. ,
XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials, International Journal for Numerical Methods in Engineering, vol.59, issue.8, pp.1103-1118, 2004. ,
DOI : 10.1002/nme.906
Direct evaluation of accurate coefficients of the linear elastic crack tip asymptotic field, Fatigue <html_ent glyph="@amp;" ascii="&"/> Fracture of Engineering Materials and Structures, vol.26, issue.8, pp.719-729, 2003. ,
DOI : 10.1016/S0013-7944(99)00015-6
Crack tip enrichment in the XFEM using a cutoff function, International Journal for Numerical Methods in Engineering, vol.193, issue.11, pp.629-646, 2008. ,
DOI : 10.1016/j.physletb.2003.10.071
URL : https://hal.archives-ouvertes.fr/hal-00634984
Noise-robust stress intensity factor determination from kinematic field measurements, Engineering Fracture Mechanics, vol.75, issue.13, pp.3763-3781, 2006. ,
DOI : 10.1016/j.engfracmech.2007.04.018
Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches, International Journal of Fracture, vol.40, issue.1, pp.1-4141, 2006. ,
DOI : 10.1007/s10704-006-6631-2
URL : https://hal.archives-ouvertes.fr/hal-00013818
Spider XFEM, an extended finite element variant for partially unknown crack-tip displacement, Revue europ??enne de m??canique num??rique, vol.17, issue.5-6-7, pp.5-7625, 2008. ,
DOI : 10.3166/remn.17.625-636
URL : https://hal.archives-ouvertes.fr/hal-00690518
The Bending Stress Distribution at the Base of a Stationary Crack, Journal of Applied Mechanics, vol.28, issue.1, pp.109-114, 1957. ,
DOI : 10.1115/1.3640470
The Arlequin method as a flexible engineering design tool, International Journal for Numerical Methods in Engineering, vol.193, issue.11, pp.1442-1462, 2005. ,
DOI : 10.1002/nme.1229
URL : https://hal.archives-ouvertes.fr/hal-00018915
THE PARTITION OF UNITY METHOD, International Journal for Numerical Methods in Engineering, vol.9, issue.4, pp.727-758, 1997. ,
DOI : 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N
Implementation of hybrid crack element on a general finite element mesh and in combination with XFEM, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.13-16, pp.1864-1873, 2007. ,
DOI : 10.1016/j.cma.2006.09.022
Asymptotic fields at the tip of a cohesive crack, International Journal of Fracture, vol.69, issue.1-2, pp.55-74, 2008. ,
DOI : 10.1007/s10704-008-9218-2