G. T. 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

F. Cirak, R. Deiterding, and S. P. Mauch, Large-scale fluid???structure interaction simulation of viscoplastic and fracturing thin-shells subjected to shocks and detonations, Computers & Structures, vol.85, issue.11-14, pp.1049-1065, 2007.
DOI : 10.1016/j.compstruc.2006.11.014

P. Colella, D. T. Graves, B. J. Keen, and D. Modiano, A Cartesian grid embedded boundary method for hyperbolic conservation laws, Journal of Computational Physics, vol.211, issue.1, pp.347-366, 2006.
DOI : 10.1016/j.jcp.2005.05.026

V. Daru and C. Tenaud, High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations, Journal of Computational Physics, vol.193, issue.2, pp.563-594, 2004.
DOI : 10.1016/j.jcp.2003.08.023

P. Palma, M. D. De-tullio, G. Pascazio, and M. Napolitano, An immersed-boundary method for compressible viscous flows, Computers & Fluids, vol.35, issue.7, pp.693-702, 2006.
DOI : 10.1016/j.compfluid.2006.01.004

R. Deiterding, F. Cirak, and S. P. Mauch, Efficient Fluid-Structure Interaction Simulation of Viscoplastic and Fracturing Thin-Shells Subjected to Underwater Shock Loading. International Workshop on Fluid-Structure Interaction, p.65, 2009.

C. Denoual, G. Barbier, and F. Hild, A probabilistic approach for fragmentation of brittle materials under dynamic loading. Comptes Rendus de l'Académie des Sciences-Series IIB-Mechanics-Physics- Chemistry-Astronomy, pp.685-691, 1997.

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-01461932

J. Donea, S. Giuliani, and J. P. Halleux, An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.33, issue.1-3, pp.689-723, 1982.
DOI : 10.1016/0045-7825(82)90128-1

D. Doyen, A. Ern, and S. Piperno, Quasi-explicit time-integration schemes for dynamic fracture with set-valued cohesive zone models, Computational Mechanics, vol.72, issue.9, pp.401-416, 2013.
DOI : 10.1007/s00466-012-0819-2
URL : https://hal.archives-ouvertes.fr/hal-00736779

Z. Dragojlovic, F. Najmabadi, and M. Day, An embedded boundary method for viscous, conducting compressible flow, Journal of Computational Physics, vol.216, issue.1, pp.37-51, 2006.
DOI : 10.1016/j.jcp.2005.11.025

E. A. Fadlun, R. Verzicco, P. Orlandi, and J. Mohd-yusof, Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations, Journal of Computational Physics, vol.161, issue.1, pp.35-60, 2000.
DOI : 10.1006/jcph.2000.6484

J. Falcovitz, G. Alfandary, and G. Hanoch, A Two-Dimensional Conservation Laws Scheme for Compressible Flows with Moving Boundaries, Journal of Computational Physics, vol.138, issue.1, pp.83-102, 1997.
DOI : 10.1006/jcph.1997.5808

C. Farhat, A. Rallu, and S. Shankaran, A higher-order generalized ghost fluid method for the poor for the three-dimensional two-phase flow computation of underwater implosions, Journal of Computational Physics, vol.227, issue.16, pp.7674-7700, 2008.
DOI : 10.1016/j.jcp.2008.04.032

R. P. Fedkiw, Coupling an Eulerian Fluid Calculation to a Lagrangian Solid Calculation with the Ghost Fluid Method, Journal of Computational Physics, vol.175, issue.1, pp.200-224, 2002.
DOI : 10.1006/jcph.2001.6935

A. A. Griffith and . Vi, 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, pp.163-198, 1920.
DOI : 10.1098/rsta.1921.0006

D. Hartmann, M. Meinke, and W. Schröder, A strictly conservative Cartesian cut-cell method for compressible viscous flows on adaptive grids, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.9-12, pp.1038-1052, 2011.
DOI : 10.1016/j.cma.2010.05.015

X. Hu, B. C. Khoo, N. A. Adams, and F. L. Huang, A conservative interface method for compressible flows, Journal of Computational Physics, vol.219, issue.2, pp.553-578, 2006.
DOI : 10.1016/j.jcp.2006.04.001

P. , L. Tallec, and J. Mouro, Fluid structure interaction with large structural displacements, Comput. Methods Appl. Mech. Eng, vol.190, issue.24, pp.3039-3067, 2001.

P. D. Lea, Fluid Structure Interaction with Applications in Structural Failure, 2013.

R. J. Leveque, Finite volume methods for hyperbolic problems, 2002.
DOI : 10.1017/CBO9780511791253

C. Mariotti and L. Monasse, From general mechanics to discontinuity, unified approach to elasticity, 2012.

V. Michaut, Modeling of the dynamic fragmentation using a discrete element method/ Modélisation de la fragmentation dynamique par la méthode desélémentsdeséléments discrets, 2011.

L. Monasse, V. Daru, C. Mariotti, S. Piperno, and C. Tenaud, A conservative coupling algorithm between a compressible flow and a rigid body using an Embedded Boundary method, Journal of Computational Physics, vol.231, issue.7, pp.2977-2994, 2012.
DOI : 10.1016/j.jcp.2012.01.002
URL : https://hal.archives-ouvertes.fr/hal-01163118

L. Monasse and C. Mariotti, An energy-preserving Discrete Element Method for elastodynamics, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.6, pp.1527-1553, 2012.
DOI : 10.1051/m2an/2012015
URL : https://hal.archives-ouvertes.fr/hal-00403919

R. B. Pember, J. B. Bell, P. Colella, W. Y. Crutchfield, and M. L. Welcome, An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions, Journal of Computational Physics, vol.120, issue.2, pp.278-304, 1995.
DOI : 10.1006/jcph.1995.1165

C. S. Peskin, Numerical analysis of blood flow in the heart, Journal of Computational Physics, vol.25, issue.3, pp.220-252, 1977.
DOI : 10.1016/0021-9991(77)90100-0

M. A. Puscas, V. Daru, A. Ern, C. Mariotti, L. Monasse et al., Conservative coupling method between an inviscid compressible flow and a deformable structure, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01111912

M. A. Puscas and L. Monasse, A Three-Dimensional Conservative Coupling Method Between an Inviscid Compressible Flow and a Moving Rigid Solid, SIAM Journal on Scientific Computing, vol.37, issue.6, 2014.
DOI : 10.1137/140962930
URL : https://hal.archives-ouvertes.fr/hal-00974602

T. Rabczuk, R. Gracie, J. Song, and T. Belytschko, Immersed particle method for fluid-structure interaction, International Journal for Numerical Methods in Engineering, vol.252, issue.3, pp.48-71, 2010.
DOI : 10.1115/1.3129711

P. Schwartz, M. Barad, P. Colella, and T. Ligocki, A Cartesian grid embedded boundary method for the heat equation and Poisson???s equation in three dimensions, Journal of Computational Physics, vol.211, issue.2, pp.531-550, 2006.
DOI : 10.1016/j.jcp.2005.06.010

G. Strang, On the Construction and Comparison of Difference Schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968.
DOI : 10.1137/0705041

N. Sukumar and T. Belytschko, Arbitrary branched and intersecting cracks with the extended finite element method, Int. J. Numer. Meth. Eng, vol.48, pp.1741-1760, 2000.
URL : https://hal.archives-ouvertes.fr/hal-01005274

J. W. Swegle and S. W. Attaway, On the feasibility of using Smoothed Particle Hydrodynamics for underwater explosion calculations, Computational Mechanics, vol.93, issue.3, pp.151-168, 1995.
DOI : 10.1007/BF00364078

E. F. Toro, Riemann solvers and numerical methods for fluid dynamics, 1999.
DOI : 10.1007/b79761

Y. H. Tseng and J. H. Ferziger, A ghost-cell immersed boundary method for flow in complex geometry, Journal of Computational Physics, vol.192, issue.2, pp.593-623, 2003.
DOI : 10.1016/j.jcp.2003.07.024