. Corigliano, Numerical analysis of rate-dependent dynamic composite delamination, Composites Science and Technology, vol.66, issue.6, pp.766-775, 2006.
DOI : 10.1016/j.compscitech.2004.12.031

B. De-borst-et-remmers-de, R. Et, R. , and J. , Computational modelling of delamination, Composites Science and Technology, vol.66, issue.6, pp.713-722, 2006.
DOI : 10.1016/j.compscitech.2004.12.025

D. S. Dugdale, Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, vol.8, issue.2, pp.100-104, 1960.
DOI : 10.1016/0022-5096(60)90013-2

. Farhat, A scalable Lagrange multiplier based domain decomposition method for time-dependent problems, International Journal for Numerical Methods in Engineering, vol.38, issue.22, pp.3831-3853, 1995.
DOI : 10.1002/nme.1620382207

. Farhat, THE SPECTRAL STABILITY OF TIME INTEGRATION ALGORITHMS FOR A CLASS OF CONSTRAINED DYNAMICS PROBLEMS, 34th Structures, Structural Dynamics and Materials Conference, 1993.
DOI : 10.2514/6.1993-1306

F. Et-roux-]-farhat, C. Et, R. , and F. , A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol.28, issue.6, pp.1205-1227, 1991.
DOI : 10.1002/nme.1620320604

C. Faucher, V. Faucher, C. Et, and A. , A time and space mortar method for coupling linear modal subdomains and non-linear subdomains in explicit structural dynamics, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.5-6, pp.509-533, 2003.
DOI : 10.1016/S0045-7825(02)00549-2

URL : https://hal.archives-ouvertes.fr/hal-00454733

R. Fedorenko, The speed of convergence of one iterative process, USSR Computational Mathematics and Mathematical Physics, vol.4, issue.3, pp.227-235, 1964.
DOI : 10.1016/0041-5553(64)90253-8

. Gendre, Non-intrusive and exact global/local techniques for structural problems with local plasticity, Computational Mechanics, vol.36, issue.1, pp.233-245, 2009.
DOI : 10.1007/s00466-009-0372-9

URL : https://hal.archives-ouvertes.fr/hal-00437023

R. Gosselet, P. Et, R. , and C. , Non-overlapping domain decomposition methods in structural mechanics, Archives of Computational Methods in Engineering, vol.48, issue.2, pp.515-572, 2006.
DOI : 10.1007/BF02905857

URL : https://hal.archives-ouvertes.fr/hal-01224408

G. Et-combescure, A. Gravouil, C. Et, and A. , Multi time step explicit-implicit method for non-linear structural dynamics, International Journal For Numerical Methods In Engineering, vol.50, pp.199-225, 2001.

G. Et-combescure, A. Gravouil, C. Et, and A. , Multitime-step and two-scale domain decomposition method for non-linear structural dynamics, International Journal For Numerical Methods In Engineering, vol.58, pp.1545-1569, 2003.

A. Griffith, The theory of rupture, International Congress of Applied Mechanics, pp.55-63, 1924.

. Gruttmann, . Wagner, F. Gruttmann, W. Et, and W. , Coupling of two- and three-dimensional composite shell elements in linear and non-linear applications, Computer Methods in Applied Mechanics and Engineering, vol.129, issue.3, pp.271-287, 1996.
DOI : 10.1016/0045-7825(95)00897-7

. Guidault, A multiscale extended finite element method for crack propagation, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.5, pp.381-399, 2008.
DOI : 10.1016/j.cma.2007.07.023

J. Guimard and . Ens-cachan, Contribution à la modélisation de l'absorption d'énergie dans les composites stratifiés par fragmentation et délaminage sous sollicitations dynamiques, 2009.

. Guimard, Characterization and modeling of rate effects in the dynamic propagation of mode-II delamination in composite laminates, International Journal of Fracture, vol.72, issue.14, 2010.
DOI : 10.1007/s10704-009-9410-z

. Guinard, A 3D damage analysis of low-velocity impacts on laminated composites, Composites Science and Technology, vol.62, issue.4, pp.585-589, 2002.
DOI : 10.1016/S0266-3538(01)00153-1

]. Hashagen-et-de-borst, F. Hashagen, B. Et-de, and R. , Numerical assessment of delamination in fibre metal laminates, Computer Methods in Applied Mechanics and Engineering, vol.185, issue.2-4, pp.141-159, 2000.
DOI : 10.1016/S0045-7825(99)00256-X

Z. Hashin, Failure Criteria for Unidirectional Fiber Composites, Journal of Applied Mechanics, vol.47, issue.2, pp.329-334, 1980.
DOI : 10.1115/1.3153664

. Hauptmann, `Solid-shell' elements with linear and quadratic shape functions at large deformations with nearly incompressible materials, Computers & Structures, vol.79, issue.18, pp.1671-1685, 2001.
DOI : 10.1016/S0045-7949(01)00103-1

B. Herry and . Ens-cachan, Développement d'une approche multiéchelle parallèle pour la simulation de crash automobile, 2002.

R. Hill, The Mathematical Theory of Plasticity, 1950.

. Hinton, Failure criteria in fiber-reinforced polymer composites : the World WIde Failure Exercise, 2004.

. Hughes, . Liu, T. Hughes, L. Et, and W. , 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

G. Irwin, Analysis of stresses and strains near the end of a crack traversing a plate, Journal of Applied Mechanics, vol.24, issue.3, pp.361-364, 1957.

N. E. Jansson, Modelling of delamination growth in composite structures, Thèse de doctorat, 2002.

M. Jirasek, Comparative study on finite elements with embedded discontinuities, Computer Methods in Applied Mechanics and Engineering, vol.188, issue.1-3, pp.307-330, 2000.
DOI : 10.1016/S0045-7825(99)00154-1

. Kerfriden, A threescale domain decomposition method for the 3D analysis of debonding in laminates, Computational Mechanics, vol.33, issue.3, pp.343-362, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00437026

K. Sony, R. Y. Kim, S. Et, and S. R. , Experimental and analytical studies on the onset of delamination in laminated composites, Journal of Composite Materials, vol.18, pp.70-76, 1984.

. Klinkel, . Wagner, S. Klinkel, W. Et, and W. , A geometrical non-linear brick element based on the EAS-method, International Journal for Numerical Methods in Engineering, vol.35, issue.24, pp.4529-4545, 1997.
DOI : 10.1002/(SICI)1097-0207(19971230)40:24<4529::AID-NME271>3.0.CO;2-I

R. Krueger, Virtual crack closure technique: History, approach, and applications, Applied Mechanics Reviews, vol.57, issue.2, pp.109-143, 2004.
DOI : 10.1115/1.1595677

. Krueger, . Minguet, R. Krueger, M. Et, and P. , Analysis of composite skin???stiffener debond specimens using a shell/3D modeling technique, Composite Structures, vol.81, issue.1, pp.41-59, 2007.
DOI : 10.1016/j.compstruct.2006.05.006

P. Ladevèze, A damage computational approach for composites: Basic aspects and micromechanical relations, Computational Mechanics, vol.433, issue.1/2, pp.142-150, 1995.
DOI : 10.1007/BF00356486

P. Ladevèze, A damage computational method for composite structures, Computers & Structures, vol.44, issue.1-2, pp.79-87, 1992.
DOI : 10.1016/0045-7949(92)90226-P

P. Ladevèze, Nonlinear computational structural mechanics -New approaches and non-incremental methods of calculation, 1999.

. Ladevèze, A micro???macro and parallel computational strategy for highly heterogeneous structures, International Journal for Numerical Methods in Engineering, vol.46, issue.12, pp.121-138, 2001.
DOI : 10.1002/nme.274

. Ladevèze, A multiscale computational approach for contact problems, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.43, pp.4869-4891, 2002.
DOI : 10.1016/S0045-7825(02)00406-1

D. Leguillon, A method based on singularity theory to predict edge delamination of laminates, International Journal of Fracture, vol.100, issue.1, pp.105-120, 1999.
DOI : 10.1023/A:1018382422833

D. Lévêque and . Cachanlubineau, Analyse de la tenue au délaminage des composites stratifiés : identification d'un modèle d'interface interlaminaire Towards a bridge between the micro and the mesomechanics of delamination for laminated composites, Composites Science and Technology, vol.66, pp.698-712, 1998.

J. Mandel, Balancing domain decomposition, Communications in Numerical Methods in Engineering, vol.13, issue.3, pp.233-241, 1993.
DOI : 10.1002/cnm.1640090307

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.876

. Manzoli, . Shing, O. Manzoli, S. Et, and P. , A general technique to embed non-uniform discontinuities into standard solid finite elements, Computers & Structures, vol.84, issue.10-11, pp.742-757, 2006.
DOI : 10.1016/j.compstruc.2005.10.009

. Mccune, Mixed-dimensional coupling in finite element models, International Journal for Numerical Methods in Engineering, vol.5, issue.6, pp.725-750, 2000.
DOI : 10.1002/1097-0207(20001030)49:6<725::AID-NME967>3.0.CO;2-W

R. D. Mindlin, Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates, Journal of Applied Mechanics, vol.18, pp.31-38, 1951.
DOI : 10.1007/978-1-4613-8865-4_29

. Moës, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.131-150, 1999.
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A

M. Newmark, A method of computation for structural dynamics, Proceedings of ASCE 85, 1959.

W. Nuismer, R. J. Et, W. , and J. M. , Stress fracture criteria for laminated composites containing stress concentrations, Journal of Composite Materials, vol.8, pp.253-265, 1974.

. Odièvre, A parallel, multiscale domain decomposition method for the transient dynamic analysis of assemblies with friction, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.21-22, pp.1297-1306, 2010.
DOI : 10.1016/j.cma.2009.07.014

J. Oliver, MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 2: NUMERICAL SIMULATION, International Journal for Numerical Methods in Engineering, vol.19, issue.21, pp.3601-3623, 1996.
DOI : 10.1002/(SICI)1097-0207(19961115)39:21<3601::AID-NME64>3.0.CO;2-4

. Pandolfi, Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel, International Journal of Solids and Structures, vol.37, issue.27, pp.3733-3760, 2000.
DOI : 10.1016/S0020-7683(99)00155-9

H. Parisch, A continuum-based shell theory for non-linear applications, International Journal for Numerical Methods in Engineering, vol.2, issue.11, pp.1855-1883, 1995.
DOI : 10.1002/nme.1620381105

N. Pechnik, Modélisation du comportement dynamique des structures composites : synthèse, 2005.

. Raju, Convergence of strain energy release rate components for Edge-Delaminated composite laminates, Engineering Fracture Mechanics, vol.30, issue.3, pp.383-396, 1988.
DOI : 10.1016/0013-7944(88)90196-8

E. Reissner, Reflections on the Theory of Elastic Plates, Applied Mechanics Reviews, vol.38, issue.11, pp.1453-1464, 1985.
DOI : 10.1115/1.3143699

J. Remmers, Discontinuities in materials and structures, a unifying computational approach, Thèse de doctorat, 2006.

E. F. Rybicki-et-kanninen-]-rybicki, K. Et, and M. F. , A finite element calculation of stress intensity factors by a modified crack closure integral, Engineering Fracture Mechanics, vol.9, issue.4, pp.931-938, 1977.
DOI : 10.1016/0013-7944(77)90013-3

]. Schellekens-et-de-borst, J. Schellekens, B. Et-de, and R. , A non-linear finite element approach for the analysis of mode-I free edge delamination in composites, International Journal of Solids and Structures, vol.30, issue.9, pp.1239-1253, 1993.
DOI : 10.1016/0020-7683(93)90014-X

. Schiermeier, Interface elements in global/local analysis -Part 3 : shell-tosolid transition, The 1999 MSC worlwide aerospace conference, 1999.

. Series, Une méthode de décomposition de domaine avec deux multiplicateurs de Lagrange, application au calcul de structure, cas du contact, Actes du 6 e colloque national en calcul des structures, 2003.

. Simo, . Rifai, J. Simo, R. Et, and M. , A class of mixed assumed strain methods and the method of incompatible modes, International Journal for Numerical Methods in Engineering, vol.1, issue.8, pp.1595-1638, 1990.
DOI : 10.1002/nme.1620290802

. Timoshenko, . Goodier, S. Timoshenko, G. Et, and J. , Theory of elasticity, 1970.

M. Trovalet and . Ens-cachan, Sur un modèle micro pour le calcul des structures en composites stratifiés, 2010.

. Tsaï, . Wu, S. Tsaï, W. Et, and E. , A General Theory of Strength for Anisotropic Materials, Journal of Composite Materials, vol.5, issue.1, pp.58-80, 1971.
DOI : 10.1177/002199837100500106

D. Van, . Meer, . Sluys, F. P. Van-der-meer, S. Et et al., Meshindependent modeling of both distributed and discrete matrix cracking in interaction with delamination in composite, Engineering Fracture Mechanics, vol.77, pp.719-735, 2010.

W. , C. Wang, S. S. Et, C. , and I. , Boundary-layer effects in composite laminates ? Part I : free-edge stress singularities, International Journal of Composite Materials, vol.49, pp.541-548, 1982.

K. Washizu, Variational Methods in Elasticity and Plasticity, 1982.

J. D. Whitcomb, Iterative global/local finite element analysis, Computers & Structures, vol.40, issue.4, pp.1027-1031, 1991.
DOI : 10.1016/0045-7949(91)90334-I

. Whitcomb, . Woo, J. D. Whitcomb, W. Et, and K. , Application of iterative global/local finite-element analysis. Part 1: Linear analysis, Communications in Numerical Methods in Engineering, vol.2, issue.9, pp.745-756, 1993.
DOI : 10.1002/cnm.1640090905

. Whitcomb, . Woo, J. D. Whitcomb, W. Et, and K. , Application of iterative global/local finite-element analysis. Part 2: Geometrically non-linear analysis, Communications in Numerical Methods in Engineering, vol.23, issue.9, pp.757-766, 1993.
DOI : 10.1002/cnm.1640090906