. Actiononelements, DEFDOF_ACTION, acce_l, data->GMF,data->zones,data->allElements)

. Exportresults, Step, data, disp_l, velo_l, acce_l, stress_l)

. Disp_f, insert(dispcla_l); disp_f.insert(dispenrich_l)

. Velo_f, insert(velocla_l); velo_f.insert(veloenrich_l)

. Acce_f, insert(accecla_l); acce_f.insert(acceenrich_l)

. Actiononelements, DEFDOF_ACTION, dispcla_l, data->GMF,data->zones,data->allElements)

. Actiononelements, DEFDOF_ACTION, dispenrich_l, data->GMF,data->zones,data->allElements); cracksweregrowing = false; printf("Assembling the Mass matrix\n

}. and =. Dofdata, GetNbrDof(); sprintf(idchar, "_%d

. Velo_l, clear();velo_l.insert(velo_f)

. Acce_l, clear();acce_l.insert(acce_f); dispenrich_l.clear(); veloenrich_l.clear(); acceenrich_l, clear(

. Actiononelements, DEFDOF_ACTION, dispenrich_l, data->GMF,data->zones,data->allElements)

. Actiononelements, FIXDOF_ACTION, veloenrich_l, data->GMF,data->zones,data->allElements

. Actiononelements, FIXDOF_ACTION, acceenrich_l, data->GMF,data->zones,data->allElements

}. and =. Dofdata, GetNbrDof(); printf("Nbrdof before setsize is %d\n

. Mtilde, ExecuteReordering(); system.Solve(U); printf("Passed Solving\n

. Dofdata, GetDofCurrentValue(ekin_key, -1)

. Dofdata, GetDofCurrentValue(estrain_key, -1)

. Exportresults, Step, data, disp_l, velo_l, acce_l, stress_l); printf

}. Pilot, EnergyBalanceRequested()) { printf, Before Export Energy Balance History\n

E. Albuquerque, P. Sollero, and M. Aliabadi, Dual boundary element method for anisotropic dynamic fracture mechanics, International Journal for Numerical Methods in Engineering, vol.59, issue.9, pp.1187-1205, 2004.
DOI : 10.1002/nme.912

J. Anbanto-bueno and J. Lambros, Investigation of crack growth in functionally graded materials using digital image correlation, Engineering Fracture Mechanics, vol.69, issue.14-16, pp.1695-1711, 2002.
DOI : 10.1016/S0013-7944(02)00058-9

F. Armero and I. Romero, On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part I: low-order methods for two model problems and nonlinear elastodynamics, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.20-21, pp.2603-2649, 2001.
DOI : 10.1016/S0045-7825(00)00256-5

F. Armero and I. Romero, On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part II: second-order methods, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.51-52, pp.6783-6824, 2001.
DOI : 10.1016/S0045-7825(01)00233-X

A. Atluri, S. Nishioka, and T. , Numerical studies in dynamic fracture mechanics, International Journal of Fracture, vol.18, issue.No. 3, pp.245-261, 1985.
DOI : 10.1007/BF00017971

M. Attigui and C. Petit, Mixed-mode separation in dynamic fracture mechanics : New path independent integrals, International Journal of Fracture, vol.84, issue.1, pp.19-36, 1997.
DOI : 10.1023/A:1007358701493

D. Aubry, D. Lucas, and B. Tie, Adaptive strategy for transient/coupled problems applications to thermoelasticity and elastodynamics, Computer Methods in Applied Mechanics and Engineering, vol.176, issue.1-4, pp.41-50, 1999.
DOI : 10.1016/S0045-7825(98)00329-6

I. Babuska and J. Melenk, 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

Z. Bazant, J. Glazik, and J. Achenbach, Elastodynamic fields near running cracks by finite elements, Computers & Structures, vol.8, issue.2, pp.193-198, 1978.
DOI : 10.1016/0045-7949(78)90022-6

T. Belytschko and H. Chen, SINGULAR ENRICHMENT FINITE ELEMENT METHOD FOR ELASTODYNAMIC CRACK PROPAGATION, International Journal of Computational Methods, vol.01, issue.01, pp.1-15, 2001.
DOI : 10.1142/S0219876204000095

T. Belytschko, N. Moës, S. Usui, and C. Parimi, Arbitrary discontinuities in finite elements, International Journal for Numerical Methods in Engineering, vol.8, issue.4, pp.993-1013, 2001.
DOI : 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M

URL : https://hal.archives-ouvertes.fr/hal-01005275

T. Belytschko, H. Chen, X. Jingxiao, and Z. Goangseup, 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

T. Bittencourt, P. Wawrzynek, and A. Ingraffea, Quasi-automatic simulation of crack propagation for 2D LEFM problems, Engineering Fracture Mechanics, vol.55, issue.2, pp.321-334, 1996.
DOI : 10.1016/0013-7944(95)00247-2

T. Black and T. Belytschko, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, vol.45, pp.601-620, 1999.

R. De-borst, J. Remmers, A. Needleman, and M. Abellan, 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

. Bui and H. Bui, Mécanique de la rupture fragile, 1978.

. Bui and H. Bui, Introduction auprobì emes inverses en mécaniques des matériaux, 1993.

G. Camacho and M. Ortiz, Computational modeling of impact damage in brittle materials, International Journal of Solids and Structures, vol.33, pp.1267-1282, 1996.

H. Chen and R. Shield, Conservation laws in elasticity of the J-integral type, Zeitschrift f??r angewandte Mathematik und Physik ZAMP, vol.21, issue.1, 1977.
DOI : 10.1007/BF01590704

J. Chessa, P. Smolinski, and T. Belytschko, The extended finite element method (XFEM) for solidification problems, International Journal for Numerical Methods in Engineering, vol.13, issue.8, pp.1959-1977, 2002.
DOI : 10.1002/nme.386

J. Chessa and T. Belytschko, An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension, International Journal for Numerical Methods in Engineering, vol.37, issue.13, pp.2041-2064, 2003.
DOI : 10.1002/nme.946

J. Chessa and T. Belytschko, An Extended Finite Element Method for Two-Phase Fluids, Journal of Applied Mechanics, vol.70, issue.1, pp.10-17, 2003.
DOI : 10.1115/1.1526599

J. Chessa, H. Wang, and T. Belytschko, On the construction of blending elements for local partition of unity enriched finite elements, International Journal for Numerical Methods in Engineering, vol.60, issue.7, pp.1015-1038, 2003.
DOI : 10.1002/nme.777

J. Chessa and T. Belytschko, Arbitrary discontinuities in space-time finite elements by level sets and X-FEM, International Journal for Numerical Methods in Engineering, vol.13, issue.15, pp.2595-2614, 2004.
DOI : 10.1002/nme.1155

F. Chirino, R. Gallego, A. Saez, and J. Dominguez, A comparative study of three boundary element approaches to transient dynamic crack problems, Engineering Analysis with Boundary Elements, vol.13, issue.1, pp.11-19, 1994.
DOI : 10.1016/0955-7997(94)90003-5

. Chu, J. Chung, and G. Hulbert, A time integration algorithm for structural dynamics with improved numerical disspation : the genralized-'alpha method, Journal of Applied Mechanics, vol.60, pp.371-375, 1993.

P. Destuynder, M. Djaoua, and S. Lescure, Quelques remarques sur la mécanique de la rupturé elatique, Journal de Mécanique Théorique et Appliquée, vol.2, issue.1, 1983.

J. Dolbow, N. Moës, and T. Belytschko, Discontinuous enrichment in finite elements with a partition of unity method, Finite Elements in Analysis and Design, vol.36, issue.3-4, pp.235-260, 2000.
DOI : 10.1016/S0168-874X(00)00035-4

URL : https://hal.archives-ouvertes.fr/hal-01006752

J. Dolbow and R. Merle, Solving thermal and phase change problems with the extended finite element method, pp.339-350, 2001.

J. Dolbow, N. Moës, and T. Belytschko, An extended finite element method for modeling crack growth with frictional contact, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.51-52, pp.6825-6846, 2001.
DOI : 10.1016/S0045-7825(01)00260-2

URL : https://hal.archives-ouvertes.fr/hal-01005234

C. Duarte and J. Oden, An h-p adaptive method using clouds, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.237-262, 1996.
DOI : 10.1016/S0045-7825(96)01085-7

C. Duarte, O. Hamzeh, T. Liska, and W. Tworzydlo, 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

R. Einsfeld, L. Martha, and T. Bittencourt, Combination of smeared and discrete approches with the use of interface elements, European Congress on Computational Methods in Applied Sciences and Engineering, 2000.

T. Ekevid and N. Wiberg, A comparison of parallel implementation of explicit DG and central difference method, Communications in Numerical Methods in Engineering, vol.37, issue.1, pp.585-597, 2002.
DOI : 10.1002/cnm.515

T. Elguedj, A. Gravouil, and A. Combescure, Appropriate extended functions for X-FEM simulation of plastic fracture mechanics, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.7-8, 2004.
DOI : 10.1016/j.cma.2005.02.007

URL : https://hal.archives-ouvertes.fr/hal-00373830

M. Fleming, Y. Chu, B. Moran, and T. Belytschko, ENRICHED ELEMENT-FREE GALERKIN METHODS FOR CRACK TIP FIELDS, International Journal for Numerical Methods in Engineering, vol.85, issue.8, pp.1483-1504, 1997.
DOI : 10.1002/(SICI)1097-0207(19970430)40:8<1483::AID-NME123>3.0.CO;2-6

M. Goz, J. Dolbow, and B. Moran, Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks, International Journal of Solids and Structures, vol.35, p.15, 1997.

A. Gravouil, N. Moës, and T. Belytschko, 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

A. Griffith, The Phenomena of Rupture and Flow in Solids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.221, issue.582-593, 1921.
DOI : 10.1098/rsta.1921.0006

H. Hilber, T. Hughes, and R. Taylor, Improved numerical dissipation for time integration algorithms in structural dynamics, Earthquake Engineering & Structural Dynamics, vol.7, issue.3, pp.283-292, 1977.
DOI : 10.1002/eqe.4290050306

H. Huang and F. Costanzo, On the use of space???time finite elements in the solution of elasto-dynamic problems with strain discontinuities, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.46, pp.5315-5343, 2002.
DOI : 10.1016/S0045-7825(02)00460-7

H. Huang and F. Costanzo, On the use of space-time finite elements in the solution of elasto-dynamic fracture problems, International Journal of Fracture, vol.127, issue.2, pp.119-146, 2004.
DOI : 10.1023/B:FRAC.0000035071.30893.bb

T. Hughes, T. Caughey, and W. Liu, Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy, Journal of Applied Mechanics, vol.45, issue.2, pp.366-370, 1978.
DOI : 10.1115/1.3424303

T. Hughes and W. Liu, Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory, Journal of Applied Mechanics, vol.45, issue.2, pp.371-374, 1978.
DOI : 10.1115/1.3424304

T. Hughes and G. Hulbert, Space-time finite element methods for elastodynamics: Formulations and error estimates, Computer Methods in Applied Mechanics and Engineering, vol.66, issue.3, pp.339-363, 1988.
DOI : 10.1016/0045-7825(88)90006-0

T. Hughes and T. Belytschko, Nonlinear finite element analysis. ICE Division, 2000.

G. Hulbert and T. Hughes, Space-time finite element methods for second-order hyperbolic equations, Computer Methods in Applied Mechanics and Engineering, vol.84, issue.3, pp.327-348, 1990.
DOI : 10.1016/0045-7825(90)90082-W

J. Kalthoff, J. Beinert, S. Winkler, and W. Klemm, Experimentational analysis of dynamic effects in different crack arrest test specimens, ASTM E-24, Symp. on Crack Arrest Methodology and Applications Philadelphia, 1978.

M. Kanninen and C. Popelar, Advanced fracture mechanics, 1985.

A. Kobayashi, A. Emery, and S. Mall, Dynamic finite element and photoelastic analyses of two fracture Homalite-100 plates, Experimental Mechanics, vol.13, pp.841-850, 1976.

P. Krysl and T. Belytschko, The Element Free Galerkin method for dynamic propagation of arbitrary 3-D cracks, International Journal for Numerical Methods in Engineering, vol.39, issue.18, pp.767-800, 1999.
DOI : 10.1002/(SICI)1097-0207(19990228)44:6<767::AID-NME524>3.0.CO;2-G

P. Laborde, J. Pommier, Y. Renard, and M. Salaün, High-order extended finite element method for cracked domains, International Journal for Numerical Methods in Engineering, vol.3, issue.3, 2005.
DOI : 10.1002/nme.1370

URL : https://hal.archives-ouvertes.fr/hal-00815711

Y. Lee and L. Freund, Fracture Initiation Due to Asymmetric Impact Loading of an Edge Cracked Plate, Journal of Applied Mechanics, vol.57, issue.1, pp.104-111, 1990.
DOI : 10.1115/1.2888289

Y. Lee, J. Lambros, and A. Rosakis, Analysis of coherent gradient sensing (CGS) by fourier optics, Optics and Lasers in Engineering, vol.25, issue.1, pp.25-53, 1996.
DOI : 10.1016/0143-8166(95)00050-X

G. Legrain, N. Moës, and E. Verron, Stress analysis around crack tips in finite strain problems using the eXtended finite element method, International Journal for Numerical Methods in Engineering, vol.5, issue.8, 2005.
DOI : 10.1002/nme.1291

URL : https://hal.archives-ouvertes.fr/hal-00496953

. Li, X. Li, and N. Wiberg, Implementation and adaptivity of a space-time finite element method for structural dynamics, Computer Methods in Applied Mechanics and Engineering, vol.156, issue.1-4, pp.211-229, 1998.
DOI : 10.1016/S0045-7825(97)00207-7

. Li, X. Li, D. Yao, and R. Lewis, A discontinuous Galerkin finite element method for dynamic and wave propagation problems in non-linear solids and saturated porous media, International Journal for Numerical Methods in Engineering, vol.135, issue.12, pp.1775-1800, 2003.
DOI : 10.1002/nme.741

. Liu, H. Liu, and J. Ke, Moire method, Kobayashi AS. Experimental techniques in fracture mechanics, 1975.

. Mai, H. Maigre, and D. Rittel, Dynamic fracture detection using the force displacement reciprocity : application to the compact compression specimen, International Journal of Fracture, vol.73, pp.67-79, 1995.

S. Mcneill, W. Peters, and M. Sutton, Estimation of stress intensity factor by digital image correlation, Engineering Fracture Mechanics, vol.28, issue.1, 1987.
DOI : 10.1016/0013-7944(87)90124-X

J. Mergheim, E. Kuhl, and P. Steinmann, A finite element method for the computational modelling of cohesive cracks, International Journal for Numerical Methods in Engineering, vol.36, issue.2, pp.583-607, 2005.
DOI : 10.1002/nme.1286

C. Michler, E. Van-brummelen, S. Hulshoff, and R. De-borst, The relevance of conservation for stability and accuracy of numerical methods for fluid???structure interaction, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.37-38, pp.4195-4215, 2003.
DOI : 10.1016/S0045-7825(03)00392-X

N. Moës, J. Dolbow, and T. Belytschko, 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

N. Moës and T. Belytschko, Extended finite element method for cohesive crack growth, Engineering Fracture Mechanics, vol.69, issue.7, pp.813-833, 2002.
DOI : 10.1016/S0013-7944(01)00128-X

N. Moës, A. Gravouil, and T. Belytschko, 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

T. Nishioka, H. Tokudome, and M. Kinoshita, Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on Delaunay automatic mesh generation, International Journal of Solids and Structures, vol.38, issue.30-31, pp.5273-5301, 2001.
DOI : 10.1016/S0020-7683(00)00345-0

M. Ortiz and A. Pandolfi, Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis, International Journal for Numerical Methods in Engineering, vol.142, issue.9, pp.1267-1282, 1999.
DOI : 10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7

URL : http://aero.caltech.edu/~ortiz/Pubs/1999/OrtizPandolfi1999.pdf

M. Pedro, A. Areias, and T. Belytschko, Non-linear analysis of shells with arbitrary evolving cracks using XFEM, International Journal for Numerical Methods in Engineering, vol.62, issue.3, pp.384-415, 2005.

J. Réthoré, A. Gravouil, and A. Combescure, A stable numerical scheme for the finite element simulation of dynamic crack propagation with remeshing, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.42-44, pp.4493-4510, 2004.
DOI : 10.1016/j.cma.2004.03.005

J. Réthoré, A. Gravouil, and A. Combescure, 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

J. Réthoré, A. Gravouil, and A. Combescure, A combined space-time extended finite element method, International Journal for Numerical Methods in Engineering, vol.44, issue.2, 2005.
DOI : 10.1002/nme.1368

J. Réthoré, A. Gravouil, F. Morestin, and A. Combescure, Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral, International Journal of Fracture, vol.1, issue.3, pp.65-79, 2005.
DOI : 10.1007/s10704-004-8141-4

T. Rabczuk and T. Belytschko, Cracking particles: a simplified meshfree method for arbitrary evolving cracks, International Journal for Numerical Methods in Engineering, vol.18, issue.13, pp.2316-2343, 2004.
DOI : 10.1002/nme.1151

B. Rao and S. Rahman, An enriched meshless method for non-linear fracture mechanics, International Journal for Numerical Methods in Engineering, vol.59, issue.2, pp.197-223, 2004.
DOI : 10.1002/nme.868

J. Remmers, R. De-borst, and A. Needleman, A cohesive segments method for the simulation of crack growth, Computational Mechanics, vol.31, issue.1-2, pp.69-77, 2003.
DOI : 10.1007/s00466-002-0394-z

R. Ribeaucourt, M. Baietto-dubourg, and A. Gravouil, A new mixed mode fatigue crack model with the coupled X-FEM/LATIN method for a steady state non monotonuous formulation, International Journal for Numerical Methods in Engineering, 2005.

J. Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, Journal of Applied Mechanics, vol.35, issue.2, pp.379-386, 1968.
DOI : 10.1115/1.3601206

J. Rice and G. Rosengren, Plane strain deformation near a crack tip in a power-law hardening material, Journal of the Mechanics and Physics of Solids, vol.16, issue.1, pp.1-12, 1968.
DOI : 10.1016/0022-5096(68)90013-6

D. Rittel and H. Maigre, An investigation of dynamic crack initiation in PMMA, Mechanics of Materials, vol.23, issue.3, pp.229-239, 1996.
DOI : 10.1016/0167-6636(96)00014-2

URL : https://hal.archives-ouvertes.fr/hal-00111525

D. Rittel and H. Maigre, A study of mixed-mode dynamic crack initiation in PMMA, Mechanics Research Communications, vol.23, issue.5, pp.475-481, 1996.
DOI : 10.1016/0093-6413(96)00047-X

URL : https://hal.archives-ouvertes.fr/hal-00111562

A. Rosakis and G. Ravichandran, Dynamic failure mechanics, International Journal of Solids and Structures, vol.37, issue.1-2, pp.121-136, 1986.
DOI : 10.1016/S0020-7683(99)00097-9

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.660.5121

A. Rosakis and K. Ravi-chandar, On crack-tip stress state: An experimental evaluation of three-dimensional effects, International Journal of Solids and Structures, vol.22, issue.2, pp.331-348, 2000.
DOI : 10.1016/0020-7683(86)90002-8

T. Seelig, D. Gross, and K. Pothmann, Numerical simulation of a mixed-mode dynamic fracture experiment, International Journal of Fracture, vol.99, issue.4, pp.325-338, 1999.
DOI : 10.1023/A:1018769521499

. Sim, J. Simo, N. Tarnow, and K. Wong, Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics, Computer Methods in Applied Mechanics and Engineering, vol.100, issue.1, pp.63-116, 1992.
DOI : 10.1016/0045-7825(92)90115-Z

T. Strouboulis, I. Babuska, and K. Copps, The design and analysis of the Generalized Finite Element Method, Computer Methods in Applied Mechanics and Engineering, vol.181, issue.1-3, pp.43-69, 2000.
DOI : 10.1016/S0045-7825(99)00072-9

T. Strouboulis, K. Copps, and I. Babuska, The generalized finite element method: an example of its implementation and illustration of its performance, International Journal for Numerical Methods in Engineering, vol.17, issue.8, pp.1401-1417, 2000.
DOI : 10.1002/(SICI)1097-0207(20000320)47:8<1401::AID-NME835>3.0.CO;2-8

N. Sukumar, D. Chopp, N. Moës, and T. Belytschko, Modeling holes and inclusions by level sets in the extended finite-element method, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.46-47, pp.6183-6200, 2000.
DOI : 10.1016/S0045-7825(01)00215-8

URL : https://hal.archives-ouvertes.fr/hal-01007065

N. Sukumar, N. Moës, B. Moran, and T. Belytschko, Extended finite element method for three-dimensional crack modelling, International Journal for Numerical Methods in Engineering, vol.15, issue.11, pp.1549-1570, 2000.
DOI : 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A

URL : https://hal.archives-ouvertes.fr/hal-01006859

X. Suo and A. Combescure, On the application of G(??) method and its comparison with De Lorenzi's approach, Nuclear Engineering and Design, vol.135, issue.2, pp.207-224, 1992.
DOI : 10.1016/0029-5493(92)90223-I

M. Sutton, W. Wolters, W. Peters, W. Ranson, and S. Mcneill, Determination of displacements using an improved digital correlation method, Image and Vision Computing, vol.1, issue.3, pp.133-139, 1983.
DOI : 10.1016/0262-8856(83)90064-1

M. Sutton, M. Cheng, W. Peters, Y. Chao, and S. Mcneill, Application of an optimized digital correlation method to planar deformation analysis, Image and Vision Computing, vol.4, issue.3, pp.143-150, 1986.
DOI : 10.1016/0262-8856(86)90057-0

D. Swenson and A. Ingraffea, Modeling mixed-mode dynamic crack propagation nsing finite elements: Theory and applications, Computational Mechanics, vol.42, issue.1, pp.381-397, 1988.
DOI : 10.1007/BF00301139

D. Aubry and A. Bouillard, Adaptative computation for elastic wave propagation in plate/shell structures under moving loads, Revue Européenne des Eléments Finis, vol.12, pp.717-736, 2003.

G. Wagner, N. Moës, W. Liu, and T. Belytschko, The extended finite element method for rigid particles in Stokes flow, International Journal for Numerical Methods in Engineering, vol.51, issue.3, pp.293-313, 2001.
DOI : 10.1002/nme.169

URL : https://hal.archives-ouvertes.fr/hal-01007367

G. Wagner, S. Ghosal, and W. Liu, Particulate flow simulations using lubrication theory solution enrichment, International Journal for Numerical Methods in Engineering, vol.20, issue.9, pp.1261-1289, 2003.
DOI : 10.1002/nme.608

G. Wells and L. Sluys, A new method for modelling cohesive cracks using finite elements, International Journal for Numerical Methods in Engineering, vol.3, issue.12, pp.2667-2682, 2001.
DOI : 10.1002/nme.143

G. Wells, R. De-borst, and L. Sluys, A consistent geometrically non-linear approach for delamination, International Journal for Numerical Methods in Engineering, vol.6, issue.9, pp.1333-1355, 2002.
DOI : 10.1002/nme.462

M. Bossak and O. Zienkiewicz, An alpha modification of Newmark's method, International Journal for Numerical Methods in Engineering, vol.15, pp.1562-1566, 1980.

X. Xu and A. Needleman, Numerical simulations of fast crack growth in brittle solids, Journal of the Mechanics and Physics of Solids, vol.42, issue.9, pp.1397-1434, 1994.
DOI : 10.1016/0022-5096(94)90003-5

F. Zhou and F. Molinari, Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency, International Journal for Numerical Methods in Engineering, vol.59, issue.1, pp.1-24, 2004.
DOI : 10.1002/nme.857

G. Zi and T. Belytschko, New crack-tip elements for XFEM and applications to cohesive cracks, International Journal for Numerical Methods in Engineering, vol.87, issue.15, pp.15-2221, 2003.
DOI : 10.1002/nme.849

O. Zienkiewicz, W. Wood, and N. Hine, A unified set of single step algorithms. Part 1: General formulation and applications, International Journal for Numerical Methods in Engineering, vol.20, issue.8, pp.1529-1552, 1984.
DOI : 10.1002/nme.1620200814