P. Alart, M. Barboteu, and M. Renouf, Parallel Computational Strategies for Multicontact Problems: Applications to Cellular and Granular Media, International Journal for Multiscale Computational Engineering, vol.1, issue.4, pp.419-430, 2003.
DOI : 10.1615/IntJMultCompEng.v1.i4.70

URL : https://hal.archives-ouvertes.fr/hal-00454720

P. Alart and A. Curnier, A mixed formulation for frictional contact problems prone to Newton like solution methods, Computer Methods in Applied Mechanics and Engineering, vol.92, issue.3, pp.353-375, 1991.
DOI : 10.1016/0045-7825(91)90022-X

G. Alfano and M. Crisfield, Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues, International Journal for Numerical Methods in Engineering, vol.26, issue.7, pp.1701-1736, 2001.
DOI : 10.1177/002199839202601101

M. Balourdet, C. Bernaudat, V. Basini, and N. Hourdequin, « The PROMETRA program : Assessment of mechanical properties of Zircaloy-4 fuel properties during a RIA, Transactions of the 15th International Conference on Structural Mechanics in Reactor Technology, pp.485-492, 1999.

G. Camacho and M. Ortiz, Computational modelling of impact damage in brittle materials, International Journal of Solids and Structures, vol.33, issue.20-22, pp.2899-2938, 1996.
DOI : 10.1016/0020-7683(95)00255-3

B. Cazalis, C. Bernaudat, P. Yvon, J. Desquines, C. Poussard et al., « The PROMETRA program : a reliable material database for highly irradiated Zircaloy-4, Zirlo TM and M5 TM fuel claddings. », 18th International Conference on Structural Mechanics in Reactor Technology, pp.383-393, 2005.

B. Chetouane, F. Dubois, M. Vinches, and C. Bohatier, NSCD discrete element method for modelling masonry structures, International Journal for Numerical Methods in Engineering, vol.9, issue.1, pp.65-94, 2005.
DOI : 10.1017/CBO9780511626432

URL : https://hal.archives-ouvertes.fr/hal-01476972

D. Saxcé, G. Feng, and Z. , New Inequality and Functional for Contact with Friction: The Implicit Standard Material Approach???, Mechanics of Structures and Machines, pp.301-325, 1991.
DOI : 10.1016/0045-7949(80)90146-7

J. Dodds and L. Lopez, Substructuring in linear and nonlinear analysis, International Journal for Numerical Methods in Engineering, vol.7, issue.4, pp.583-597, 1980.
DOI : 10.1016/0045-7949(77)90051-7

F. Dubois and M. Jean, Une plateforme de développement dédiée à la modélisation des problèmes d'interaction, 6ème colloque national en calcul de structures, pp.111-118, 2003.

D. Dureisseix and C. Farhat, A numerically scalable domain decomposition method for the solution of frictionless contact problems, International Journal for Numerical Methods in Engineering, vol.28, issue.12, pp.2643-2666, 2001.
DOI : 10.1002/(SICI)1097-0207(19991010)46:4<501::AID-NME685>3.0.CO;2-7

URL : https://hal.archives-ouvertes.fr/hal-00321391

R. Glowinski, L. Tallec, and P. , « Augmented Lagrangian interpretation of the non-overlapping Schartz alternating method », Domain Decomposition method SIAM, pp.224-231, 1990.

A. Gravouil and A. Combescure, Multi-time-step explicit-implicit method for non-linear structural dynamics, International Journal for Numerical Methods in Engineering, vol.2, issue.18, pp.199-225, 2001.
DOI : 10.1002/nme.1620310110

URL : https://hal.archives-ouvertes.fr/hal-00455852

M. Y. He and J. W. Hutchinson, « Crack deflection at an interface between dissimilar elastic materials, International Journal of Solids and Structures, vol.25, pp.1053-1067, 1989.

B. Herry, L. D. Valentin, and A. Combescure, An approach to the connection between subdomains with non-matching meshes for transient mechanical analysis, International Journal for Numerical Methods in Engineering, vol.50, issue.8, pp.973-1003, 2002.
DOI : 10.1007/978-1-4612-3172-1

URL : https://hal.archives-ouvertes.fr/hal-00454949

D. Iceta, P. Alart, and D. Dureisseix, « A multilevel domain decomposition solver suited to nonsmoooth mechanical problems, Lecture notes in Computational Science and Engineering, pp.113-120, 2009.

M. Jean, The non-smooth contact dynamics method, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.235-257, 1999.
DOI : 10.1016/S0045-7825(98)00383-1

URL : https://hal.archives-ouvertes.fr/hal-01390459

M. Jean, V. Acary, and Y. Monerie, Non-smooth contact dynamics approach of cohesive materials, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1789, pp.2497-2518, 2001.
DOI : 10.1098/rsta.2001.0906

URL : https://hal.archives-ouvertes.fr/inria-00423556

F. Magoules and F. Roux, Lagrangian formulation of domain decomposition methods: A unified theory, Applied Mathematical Modelling, vol.30, issue.7, pp.593-615, 2006.
DOI : 10.1016/j.apm.2005.06.016

URL : https://hal.archives-ouvertes.fr/hal-00624046

E. Martin, P. Peters, D. Leguillon, and J. Quenisset, Conditions for matrix crack deflection at an interface in ceramic matrix composites, Materials Science and Engineering: A, vol.250, issue.2, pp.291-302, 1998.
DOI : 10.1016/S0921-5093(98)00604-2

R. C. Martin, Agile Software Development. Principles, Patterns and Practices, Alan Apt Series, 2003.

B. Meyer, Object-Oriented Software Construction, second edn, 1997.

J. Michel and P. Suquet, « An analytical and numerical study of the overall behaviour of metalmarix composites », Modelling Simulation in, Materials Science and Engineering, vol.2, pp.637-658, 1994.

J. Moreau, Unilateral Contact and Dry Friction in Finite Freedom Dynamics, Non Smooth Mechanics and Applications of CISM - Courses and Lectures, pp.1-82, 1988.
DOI : 10.1007/978-3-7091-2624-0_1

S. Nineb, P. Alart, and D. Dureisseix, Domain decomposition approach for non-smooth discrete problems, example of a tensegrity structure, Computers and Structures, pp.499-511, 2007.
DOI : 10.1016/j.compstruc.2006.08.027

M. Ortiz and L. Stainier, « The variational formulation of viscoplastic constitutive updates », Computer methods in applied mechanics and engineering PELICANS, Web site : https ://gforge.irsn.fr/gf, pp.419-444, 1999.

C. Pelissou, J. Baccou, Y. Monerie, and F. Perales, « Determination of the size of the representative volume element for random quasi-bittle composites, International Journal of Solids and Structures, 2009.

F. Perales, S. Bourgeois, A. Chrysochoos, and Y. Monerie, Two field multibody method for periodic homogenization in fracture mechanics of nonlinear heterogeneous materials, Engineering Fracture Mechanics, vol.75, issue.11, pp.3378-3398, 2008.
DOI : 10.1016/j.engfracmech.2007.07.017

URL : https://hal.archives-ouvertes.fr/hal-00572322

F. Perales, Y. Monerie, and A. Chrysochoos, Nonsmooth fracture dynamics of functionally graded materials, 8th International Conference on Mehanical and Physical Behaviour of Materials under Dynamic Loading, pp.367-372, 2006.
DOI : 10.1051/jp4:2006134056

M. Raous, L. Cangémi, and M. Cocu, A consistent model coupling adhesion, friction, and unilateral contact, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.3-3, 1999.
DOI : 10.1016/S0045-7825(98)00389-2

M. Raous and Y. Monerie, Unilateral Contact, Friction and Adhesion: 3D Cracks in Composite Materials, 3d Contact Mechanics International Symposium, Collection Solid Mechanics and its Applications, pp.333-346, 2001.
DOI : 10.1007/978-94-017-1154-8_36

URL : https://hal.archives-ouvertes.fr/hal-00166138

M. Renouf, Optimisation numérique et calcul parallèle pour l'étude des milieux divisés bi-et tridimensionnels, 2004.

M. Renouf, D. Bonamy, F. Dubois, and P. Alart, Numerical simulation of two-dimensional steady granular flows in rotating drum: On surface flow rheology, Physics of Fluids, vol.164, issue.10, p.103303, 2005.
DOI : 10.1103/PhysRevLett.93.068001

T. Siegmund, N. A. Fleck, and A. Needleman, « Dynamic crack growth across an interface, International Journal of Fracture, vol.85, issue.4, pp.381-402, 1997.
DOI : 10.1023/A:1007460509387

L. Stainier, F. Dubois, R. Peyroux, and . Matlib, une bibliothèque portable de modèles constitutifs pour la mécanique non-linéaire des solides : concepts et implémentation, 6ème Colloque National en Calcul des Structures, pp.25-32, 2003.

V. Tvergaard, Effect of fibre debonding in a whisker-reinforced metal, Materials Science and Engineering: A, vol.125, issue.2, pp.203-213, 1990.
DOI : 10.1016/0921-5093(90)90170-8

P. Vincent, Modélisation micromécanique de la croissance et de la percolation de pores sous pression dans une matrice céramique à haute température, 2007.

P. Vincent, Y. Monerie, and P. Suquet, « A ductile damage model for bi-porous saturated materials at high strain rate », Multi-phase and multi-components materials under dynamic loading, 2007.

G. Xu, A. F. Bower, and M. Ortiz, The influence of crack trapping on the toughness of fiber reinforced composites, Journal of the Mechanics and Physics of Solids, vol.46, issue.10, pp.10-10, 1998.
DOI : 10.1016/S0022-5096(98)00059-3

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.9-9, 1994.
DOI : 10.1016/0022-5096(94)90003-5

S. Yamanaka, K. Yamada, K. Kurosaki, M. Uno, K. Takeda et al., Thermal properties of zirconium hydride, Thermal properties of zirconium hydride. », pp.94-98, 2001.
DOI : 10.1016/S0022-3115(01)00457-3

Q. Yang, L. Stainier, and M. Ortiz, A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids, Journal of the Mechanics and Physics of Solids, vol.54, issue.2, pp.401-424, 2006.
DOI : 10.1016/j.jmps.2005.08.010

URL : https://hal.archives-ouvertes.fr/hal-01004967

P. D. Zavattieri, P. V. Raghuram, and H. D. Espinosa, A computational model of ceramic microstructures subjected to multi-axial dynamic loading, Journal of the Mechanics and Physics of Solids, vol.49, issue.1, pp.27-68, 2001.
DOI : 10.1016/S0022-5096(00)00028-4