?. La-taille-des-bulles, 2 tailles ont été considérées : a 0 = 1 mm et a 0 = 5 mm ; ? le profil de porosité (carré ou parabolique) et la porosité moyenne du milieu : 2 porosités ont été testées

?. Le-type-de-chargement-considéré, le chargement de référence est celui correspondant à une charge de 1 kg de TNT à 10 mètres (P m = 35 bars et ? = 0, 15 ms) Nous avons ensuite fait varier indépendamment P m (P m = 70 bars et P m = 140 bars)

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C. Czarnota, N. Jacques, S. Mercier, and A. Et-molinari, Modelling of dynamic ductile fracture and application to the simulation of plate impact tests on tantalum, Journal of the Mechanics and Physics of Solids, vol.56, issue.4, pp.1624-1650, 2008.
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L. Agostino and C. Et-brennen, Linearized dynamics of spherical bubble clouds, Journal of Fluid Mechanics, vol.9, issue.-1, pp.155-176, 1989.
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L. Agostino, C. Brennen, and A. Et-acosta, Linearized dynamics of two-dimensional bubbly and cavitating flows over slender surfaces, Journal of Fluid Mechanics, vol.70, issue.-1, p.485, 1988.
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C. Delale, G. Schnerr, and J. Et-sauer, Quasi-one-dimensional steady-state cavitating nozzle flows, Journal of Fluid Mechanics, vol.427, pp.167-204, 2001.
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C. Delale and G. Et-tryggvason, Shock structure in bubbly liquids: comparison of direct numerical simulations and model equations, Shock Waves, vol.114, issue.6, pp.433-440, 2008.
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C. Delale and M. Et-tunc, A bubble fission model for collapsing cavitation bubbles, Physics of Fluids, vol.16, issue.11, pp.4200-4203, 2004.
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S. Domenico, Acoustic wave propagation in air???bubble curtains in water???Part I: History and theory, GEOPHYSICS, vol.47, issue.3, pp.47345-353, 1982.
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S. Domenico, Acoustic wave propagation in air???bubble curtains in water???Part II: Field experiment, GEOPHYSICS, vol.47, issue.3, pp.47354-375, 1982.
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V. Dontsov, Propagation of pressure waves in a gas-liquid medium with a cluster structure, Journal of Applied Mechanics and Technical Physics, vol.16, issue.5, pp.346-354, 2005.
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D. Drumheller, D. Kipp, and M. Bedford, Transient wave propagation in bubbly liquids, Journal of Fluid Mechanics, vol.5, issue.-1, pp.347-365, 1982.
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F. Fox, S. Curley, and G. Et-larson, Phase Velocity and Absorption Measurements in Water Containing Air Bubbles, The Journal of the Acoustical Society of America, vol.27, issue.3, pp.534-539, 1955.
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D. Frost and B. Et-sturtevant, Effects of Ambient Pressure on the Instability of a Liquid Boiling Explosively at the Superheat Limit, Journal of Heat Transfer, vol.108, issue.2, pp.418-424, 1986.
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R. Fuster, D. Et-colonius, and T. , Modelling bubble clusters in compressible liquids, Journal of Fluid Mechanics, vol.3, pp.352-389, 2011.
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S. Gavrilyuk, Travelling waves in a bubbly liquid with continuous bubblesize distribution, Eur. J. Appl. Math, vol.6, pp.247-264, 1995.

S. Gavrilyuk and S. Et-fil-'ko, Shock waves in polydisperse bubbly media with dissipation, Journal of Applied Mechanics and Technical Physics, vol.32, issue.5, pp.669-677, 1991.
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S. Gavrilyuk and R. Et-saurel, Mathematical and Numerical Modeling of Two-Phase Compressible Flows with Micro-Inertia, Journal of Computational Physics, vol.175, issue.1, pp.326-360, 2002.
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B. Gel-'fand, A. Gubanov, and E. Et-timofeev, Refraction of plane shock waves interacting with a layer of gas bubbles in a liquid, Fluid Dynamics, vol.16, issue.2, pp.298-301, 1981.
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R. Gilmore, The growth or collapse of a spherical bubble in a viscous compressible liquid, 1952.

H. Grandjean, N. Jacques, and S. Et-zaleski, Mod??lisation de l???att??nuation d???une onde de pression sous-marine par rideau de bulles, La Houille Blanche, issue.4, 2010.
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A. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I???Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, vol.99, issue.1, pp.2-15, 1977.
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N. Hawker and Y. Et-ventikos, Interaction of a strong shockwave with a gas bubble in a liquid medium: a numerical study, Journal of Fluid Mechanics, vol.16, pp.59-97, 2012.
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G. Iooss, P. Laure, and M. Et-rossi, Stability of a compressed gas bubble in a viscous fluid, Physics of Fluids A: Fluid Dynamics, vol.1, issue.6, pp.915-923, 1989.
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S. Iordanski, On the equations of motion of the liquid containing gas bubbles, Zh. Prikl. Mekh. Tekhn. Fiz, vol.3, pp.102-111, 1960.

N. Jacques, S. Mercier, and A. Et-molinari, Effects of microscale inertia on dynamic ductile crack growth, Journal of the Mechanics and Physics of Solids, vol.60, issue.4, pp.665-690, 2012.
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E. Johnsen and T. Et-colonius, Numerical simulations of non-spherical bubble collapse, Journal of Fluid Mechanics, vol.34, pp.231-262, 2009.
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M. Kameda and Y. Et-matsumoto, Shock waves in a liquid containing small gas bubbles, Physics of Fluids, vol.8, issue.2, pp.322-335, 1996.
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M. Kameda, N. Shimaura, F. Higao, and Y. Et-matsumoto, Shock waves in a uniform bubbly flow, Physics of Fluids, vol.10, issue.10, pp.2661-2668, 1998.
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J. Keller and I. Et-kolodner, Damping of Underwater Explosion Bubble Oscillations, Journal of Applied Physics, vol.27, issue.10, pp.1152-1161, 1956.
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E. Klaseboer, S. Fong, C. Turangan, B. Khoo, A. Szeri et al., Interaction of lithotripter shockwaves with single inertial cavitation bubbles, Journal of Fluid Mechanics, vol.140, pp.33-56, 2007.
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B. Kogarko, On the model of cavitating liquid, Dokl. AN SSSR, vol.137, pp.1331-1333, 1961.

S. Koschinski, Underwater Noise Pollution From Munitions Clearance and Disposal, Possible Effects on Marine Vertebrates, and Its Mitigation, Marine Technology Society Journal, vol.45, issue.6, pp.80-88, 2011.
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A. Kubota, H. Kato, and H. Et-yamaguchi, A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section, Journal of Fluid Mechanics, vol.36, issue.-1, pp.59-96, 1992.
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V. V. Kuznetsov, V. E. Nakoryakov, B. Pokusaev, and I. Et-shreiber, Propagation of perturbations in a gas-liquid mixture, Journal of Fluid Mechanics, vol.207, issue.01, pp.85-96, 1978.
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L. Prairie and A. , Method of blasting, p.699117, 1955.

U. Langefors and B. Et-kihlström, The modern technique of rock blasting, 1967.

W. Lauterborn and H. Et-bolle, Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary, Journal of Fluid Mechanics, vol.94, issue.02, pp.391-399, 1975.
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K. Markov, Elementary Micromechanics of Heterogeneous Media, Heterogeneous media : modelling and simulation, pp.1-162, 1999.
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G. Rude and J. Et-lee, Performance evaluation of the roach cove bubble screen apparatus, Report of the Defence Research and Development Canada, 2007.

E. Schmidtke, B. Nützel, and S. Ludwig, Risk mitigation for sea mammals -the use of air bubbles against shock waves, Proc. NAG/DAGA, 2009.

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B. Würsig, C. Green, and T. Et-jefferson, Development of an air bubble curtain to reduce underwater noise of percussive piling, Marine Environmental Research, vol.49, issue.1, pp.79-93, 2000.
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