. .. Maillage-d-'une-microstructure-monomodale-sans-interphase, 56 II.20 Déformée d'une microstructure monomodale 2D sans interphase en traction uniaxiale. (a) Microstructure initiale, (b) apparition d'une décohésion répartie dans la microstructure, et (c) apparition d'une localisation de la décohésion et formation de fibrilles de matrice, p.58

/. Abaqus and . Standard, Dassault Systèmes Simulia Corporation, 2010.

A. Ahagon and A. N. Gent, Effect of interfacial bonding on the strength of adhesion, Journal of Polymer Science: Polymer Physics Edition, vol.13, issue.7, pp.1619-1633, 1975.
DOI : 10.1002/pol.1975.180130703

G. Alfano, On the influence of the shape of the interface law on the application of cohesive-zone models, Composites Science and Technology, vol.66, issue.6, pp.723-730, 2006.
DOI : 10.1016/j.compscitech.2004.12.024

H. Allen, Composite solid propellant with additive to improve the mechanical properties thereof, US patent No, vol.3745074, 1973.

H. G. Ang and S. Pisharath, Energetic polymers, 2012.

H. Arora, E. Tarleton, J. Li-mayer, M. N. Charalambides, and E. D. Lewis, Modelling the damage and deformation process in a plastic bonded explosive microstructure under tension using the finite element method, Computational Materials Science, vol.110, pp.91-101, 2015.
DOI : 10.1016/j.commatsci.2015.08.004

J. S. Escobar, Modélisation du comportement thermomécanique des polymères polymèresà mémoire de forme, 2014.

E. M. Arruda and M. C. Boyce, A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials, Journal of the Mechanics and Physics of Solids, vol.41, issue.2, pp.389-412, 1993.
DOI : 10.1016/0022-5096(93)90013-6
URL : https://hal.archives-ouvertes.fr/hal-01390807

A. Azoug, Micromécanismes et comportement macroscopique d'unélastomèreunélastomère fortement chargé, Thèse de doctorat, ´ Ecole Polytechnique, 2010.

G. I. Barenblatt, The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks, Journal of Applied Mathematics and Mechanics, vol.23, issue.3, pp.622-636, 1959.
DOI : 10.1016/0021-8928(59)90157-1

K. Barthelemy, PropulsionàPropulsion`Propulsionà froid, 2012.

T. Belytschko, W. K. Liu, B. Moran, and E. K. Elkhodary, Nonlinear Finite Elements for Continua and Structures, 2013.

C. D. Bencher, R. H. Dauskardt, and R. O. Ritchie, Microstructural damage and fracture processes in a composite solid rocket propellant, Journal of Spacecraft and Rockets, vol.32, issue.2, pp.328-334, 1995.
DOI : 10.2514/3.26614

D. P. Bentz, E. J. Garboczi, and K. A. Snyder, A hard core/soft shell microstructural model for studying percolation and transport in three dimensional composite media, National Institute of Standards and Technology, 1999.

T. A. Berfield, J. K. Patel, R. G. Shimmin, P. V. Braun, J. Lambros et al., Micro- and Nanoscale Deformation Measurement of Surface and Internal Planes via Digital Image Correlation, Experimental Mechanics, vol.1, issue.2, pp.51-62, 2007.
DOI : 10.1007/s11340-006-0531-2

S. Bergonnier, F. Hild, and E. S. Roux, Digital image correlation used for mechanical tests on crimped glass wool samples, The Journal of Strain Analysis for Engineering Design, vol.32, issue.2, pp.185-198, 2005.
DOI : 10.1243/030932405X7773
URL : https://hal.archives-ouvertes.fr/hal-00013799

K. W. Bills-jr, R. A. Et, and . Schapery, Liner technology program -Fracture energy development, Aerojet Strategic Propulsion Company, 1982.

M. Bornert, T. Bretheau, and E. P. Gilormini, Homogénéisation en mécanique des matériaux 1 : matériaux aléatoiresaléatoiresélastiques et milieux périodiques, Hermes Science, 2001.

M. Bornert, F. Brémant, P. Doumalin, J. Dupré, M. Fazzini et al., Assessment of Digital Image Correlation Measurement Errors: Methodology and Results, Experimental Mechanics, vol.43, issue.4, pp.353-370, 2009.
DOI : 10.1007/s11340-008-9204-7
URL : https://hal.archives-ouvertes.fr/hal-00881043

J. Bruchon, J. Pereira, M. Vandamme, N. Lenoir, P. Delage et al., Full 3D investigation and characterisation of capillary collapse of a loose unsaturated sand using X-ray CT, Granular Matter, vol.17, issue.6, pp.783-800, 2013.
DOI : 10.1007/s10035-013-0452-6
URL : https://hal.archives-ouvertes.fr/hal-00946102

J. Canselier, Energie et formulation, EDP Sciences, 2005.

S. Chaturvedi and N. P. Dave, Solid propellants: AP/HTPB composite propellants, Arabian Journal of Chemistry, 2015.
DOI : 10.1016/j.arabjc.2014.12.033
URL : http://doi.org/10.1016/j.arabjc.2014.12.033

J. Cho, M. S. Joshi, and C. T. Sun, Effect of inclusion size on mechanical properties of polymeric composites with micro and nano particles, Composites Science and Technology, vol.66, issue.13, pp.1941-1952, 2006.
DOI : 10.1016/j.compscitech.2005.12.028

J. Christoffersen, Bonded granulates, Journal of the Mechanics and Physics of Solids, vol.31, issue.1, pp.611-616, 1983.
DOI : 10.1016/0022-5096(83)90019-4

J. Cognard, R. Créac-'hcadec, and E. L. Sohier, Strategies for the Analysis of the Behavior of an Adhesive in Bonded Assemblies, Journal of Engineering Materials and Technology, vol.133, issue.3, 2011.
DOI : 10.1115/1.4004049
URL : https://hal.archives-ouvertes.fr/hal-00622902

J. P. Consaga, Bonding agent for composite propellants, US patent, issue.4944815, 1980.

M. Coquillat, Vieillissement des propergolsàpropergolsà matrice polybutadiene : modélisation cinétique de l'oxydation, Thèse de doctorat, Arts & Métiers ParisTech, 2007.

L. R. Cornwell and R. A. Schapery, SEM study of microcracking in strained solid propellant, Metallography, vol.8, issue.5, pp.445-452, 1975.
DOI : 10.1016/0026-0800(75)90013-0

J. J. Cras, C. A. Rowe-taitt, D. A. Nivens, and F. S. Ligler, Comparison of chemical cleaning methods of glass in preparation for silanization, Biosensors and Bioelectronics, vol.14, issue.8-9, pp.683-688, 1999.
DOI : 10.1016/S0956-5663(99)00043-3

R. Créac-'hcadec, G. Jamin, J. Cognard, and E. P. Jousset, Experimental analysis of the mechanical behaviour of a thick flexible adhesive under tensile/compression-shear loads, International Journal of Adhesion and Adhesives, vol.48, pp.258-267, 2014.
DOI : 10.1016/j.ijadhadh.2013.09.040

A. Cristiano, A. Marcellan, B. J. Keestra, P. Steeman, and C. Creton, Fracture of model polyurethane elastomeric networks, Journal of Polymer Science Part B: Polymer Physics, vol.101, issue.5, pp.355-367, 2011.
DOI : 10.1002/polb.22186

H. R. Cui, G. J. Tang, and Z. B. Shen, Study on the viscoelastic Poisson ratio of solid propellants using digital image correlation method. Propellants, Explosives and Pyrotechnics, 2016.

S. Dartois, C. Nadot-martin, D. Halm, A. Dragon, A. Fanget et al., Micromechanical modelling of damage evolution in highly filled particulate composites ??? Induced effects at different scales, International Journal of Damage Mechanics, vol.56, issue.4, pp.927-966, 2013.
DOI : 10.1016/S0065-2156(08)70176-5

A. Davidkov, M. K. Jain, R. H. Petrov, D. S. Wilkinson, and R. K. Mishra, Strain localization and damage development during bending of Al???Mg alloy sheets, Materials Science and Engineering: A, vol.550, pp.395-407, 2012.
DOI : 10.1016/j.msea.2012.04.093

R. De-borst, Numerical aspects of cohesive-zone models, Engineering Fracture Mechanics, vol.70, issue.14, pp.1743-1757, 2002.
DOI : 10.1016/S0013-7944(03)00122-X

L. De-luca, E. Price, and M. Summerfield, Nonsteady burning and combustion stability of solid propellants, 1992.

A. De-lucca, M. J. Klopfstein, O. R. Mejia, L. Rossettini, and L. T. De-luca, Investigation of ammonium perchlorate by nanoindentation, Materials Science and Technology, vol.209, issue.92, pp.396-401, 2006.
DOI : 10.2514/3.23836

N. Desgardin, N. Ducruet, M. Vallat, and E. O. Vitrac, Diffusion mechanism at the liner propellant interface, 43rd Annual International Conference of the Fraunhoffer ICT

R. Diaz, J. Diani, and E. G. Gilormini, Méthode d'autocorrélationautocorrélation`autocorrélationà deux points pour une cellule 2D carréè a renforts sphériques, 2014.

D. A. Dillard and A. V. Pocius, The Mechanics of Adhesion, 2002.

P. M. Dixon, Ripley's K Function, Encyclopedia of Environmetrics, vol.52, pp.1796-1803, 2002.
DOI : 10.1002/9781118445112.stat07751

H. Dornberger, Arme secrète de Peenemünde : les fusées V2 et la conquête de l'espace, 1966.

H. W. Douglass, J. H. Collins, J. N. Noel, R. B. Keller, and L. D. Webb, Solid propellant grain structural integrity analysis, National Aeronautics and Space Administration, 1973.

P. Dreyfuss, A. N. Gent, and J. R. Williams, Tear strength of model filled elastomers, Journal of Polymer Science, vol.18, pp.2135-2142, 1980.
DOI : 10.1002/pol.1980.180181011

D. R. Drodge and D. M. Williamson, Understanding damage in polymer-bonded explosive composites, Journal of Materials Science, vol.82, issue.4, pp.668-679, 2016.
DOI : 10.1007/s10853-013-7378-6

W. J. Drugan and J. R. Willis, A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites, Journal of the Mechanics and Physics of Solids, vol.44, issue.4, pp.497-524, 1996.
DOI : 10.1016/0022-5096(96)00007-5

N. Ducruet, L. Delmotte, G. Schrodj, F. Stankiewicz, N. Desgardin et al., Evaluation of hydroxyl terminated polybutadiene-isophorone diisocyanate gel formation during crosslinking process, Journal of Applied Polymer Science, vol.46, issue.1, pp.436-443, 2013.
DOI : 10.1002/app.38194

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

G. J. Dvorak and J. Zhang, Transformation field analysis of damage evolution in composite materials, Journal of the Mechanics and Physics of Solids, vol.49, issue.11, pp.2517-2541, 2001.
DOI : 10.1016/S0022-5096(01)00066-7

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society of London A, vol.421, pp.376-396, 1957.

R. J. Farris, Dilatation of granular filled elastomers under high rates of strain, Journal of Applied Polymer Science, vol.8, issue.1, pp.25-35, 1964.
DOI : 10.1002/app.1964.070080102

R. J. Farris, The Influence of Vacuole Formation on the Response and Failure of Filled Elastomers, Transactions of the Society of Rheology, vol.12, issue.2, pp.315-334, 1968.
DOI : 10.1122/1.549111

R. J. Farris and J. L. Goldfarb, An experimental partitioning of the mechanical energy expended during peel testing, Journal of Adhesion Science and Technology, vol.7, issue.8, pp.853-868, 1993.
DOI : 10.1163/156856193X00484

R. Fedele, B. Raka, F. Hild, and E. S. Roux, Identification of adhesive properties in GLARE assemblies using digital image correlation, Journal of the Mechanics and Physics of Solids, vol.57, issue.7, pp.1003-1016, 2009.
DOI : 10.1016/j.jmps.2009.04.005
URL : https://hal.archives-ouvertes.fr/hal-00376485

J. Feder, Random sequential adsorption, Journal of Theoretical Biology, vol.87, issue.2, pp.237-254, 1980.
DOI : 10.1016/0022-5193(80)90358-6

B. Finck, G. Doriath, and J. Martenot, Binder-charge agent and propellant composition containing it, 1989.

M. B. Frankel, L. R. Grant, and J. E. Flanagan, Historical development of glycidyl azide polymer, Journal of Propulsion and Power, vol.8, issue.3, pp.560-563, 1992.
DOI : 10.2514/3.23514

S. Fu, X. Feng, B. Lauke, and Y. Mai, Effects of particle size, particle/matrix interface adhesion and particle loading on mechanical properties of particulate???polymer composites, Composites Part B: Engineering, vol.39, issue.6, pp.933-961, 2008.
DOI : 10.1016/j.compositesb.2008.01.002

C. Funfschilling, Comportement et endommagement de composites viscoélastiques. Application aux matériauxmatériauxénergétiques, Thèse de doctorat, 2007.

S. Gallier and F. Hiernard, Microstructure of Composite Propellants Using Simulated Packings and X-Ray Tomography, Journal of Propulsion and Power, vol.24, issue.1, pp.111-115, 2008.
DOI : 10.2514/1.30454

A. Gardere, J. Diani, G. Gilormini, and P. Toulemonde, Comportement d'unélastomère unélastomère fortement chargé : ´ etude des paramètres de zone cohésive, 2015.

A. N. Gent and B. Park, Failure processes in elastomers at or near a rigid spherical inclusion, Journal of Materials Science, vol.17, issue.6, pp.1947-1956, 1984.
DOI : 10.1007/BF00550265

A. N. Gent and R. P. Petrich, Adhesion of Viscoelastic Materials to Rigid Substrates, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.310, issue.1502, pp.433-448, 1969.
DOI : 10.1098/rspa.1969.0085

A. N. Gent and R. H. Tobias, Threshold tear strength of elastomers, Journal of Polymer Science: Polymer Physics Edition, vol.20, issue.11, pp.2051-2058, 1982.
DOI : 10.1002/pol.1982.180201107

S. Ghosh, Y. Ling, B. Majumbar, and E. R. Kim, Interfacial debonding analysis in multiple fiber reinforced composites, Mechanics of Materials, vol.32, issue.10, pp.561-591, 2000.
DOI : 10.1016/S0167-6636(00)00030-2

P. Gilormini and J. Diani, Testing some implementations of a cohesive-zone model at finite strain, Engineering Fracture Mechanics, vol.148, pp.433-448, 2015.
DOI : 10.1016/j.engfracmech.2015.09.013

W. Gong, J. Chen, and E. A. Patterson, An experimental study of the behaviour of delaminations in composite panels subjected to bending, Composite Structures, vol.123, pp.9-18, 2015.
DOI : 10.1016/j.compstruct.2014.12.008

T. Goudarzi and O. Lopez-pamies, Numerical Modeling of the Nonlinear Elastic Response of Filled Elastomers via Composite-Sphere Assemblages, Journal of Applied Mechanics, vol.80, issue.5, 2013.
DOI : 10.1115/1.4023497

K. Ha and R. A. Schapery, A three-dimensional viscoelastic constitutive model for particulate composites with growing damage and its experimental validation, International Journal of Solids and Structures, vol.35, issue.26-27, pp.3497-3517, 1998.
DOI : 10.1016/S0020-7683(97)00213-8

S. B. Haska, E. Bayramli, F. Pekel, and E. S. Ozkar, Adhesion of an HTPB-IPDI-based liner elastomer to composite matrix and metal case, Journal of Applied Polymer Science, vol.64, issue.12, pp.2355-2362, 1997.
DOI : 10.1002/(SICI)1097-4628(19970620)64:12<2355::AID-APP10>3.0.CO;2-0

P. Heuillet, Caractérisation de l'endommagement des propergols solides composites

F. Hild and S. Roux, Digital Image Correlation: from Displacement Measurement to Identification of Elastic Properties - a Review, Strain, vol.334, issue.Srie I, pp.69-80, 2006.
DOI : 10.1111/j.1475-1305.2006.00258.x
URL : https://hal.archives-ouvertes.fr/hal-00013816

A. Hillerborg, M. Modeer, and P. E. Petersson, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement and Concrete Research, vol.6, issue.6, pp.773-782, 1976.
DOI : 10.1016/0008-8846(76)90007-7

R. M. Hinterhoelzl and R. A. Schapery, FEM Implementation of a Three-Dimensional Viscoelastic Constitutive Model for Particulate Composites with Damage Growth, Mechanics of Time-Dependent Materials, vol.8, issue.1, pp.65-94, 2004.
DOI : 10.1023/B:MTDM.0000027683.06097.76

K. Hori, A. Iwama, and E. T. Fukuda, On the adhesion between hydroxy-terminated polybutadiene fuel-binder and ammonium perchlorate. Performance of bonding agents. Propellants, Explosives and Pyrotechnics, pp.176-180, 1985.

Z. Huang, H. Nie, Y. Zhang, L. Tan, H. Yin et al., Migration kinetics and mechanisms of plasticizers, stabilizers at interfaces of NEPE propellant/HTPB liner/EDPM insulation, Journal of Hazardous Materials, vol.229, issue.230, pp.229-230, 2012.
DOI : 10.1016/j.jhazmat.2012.05.103

R. J. Hudson, P. Zioupos, and P. P. Gill, Investigating the mechanical properties of RDX crystals using nano-indentation. Propellants, Explosives and Pyrotechnics, pp.191-197, 2012.

C. Y. Hui, A. Jagota, S. J. Bennison, and J. D. Londono, Crack blunting and the strength of soft elastic solids, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.459, issue.2034, pp.1489-1516, 2003.
DOI : 10.1098/rspa.2002.1057

J. Hunley, The history of solid-propellant rocketry - What we do and do not know, 35th Joint Propulsion Conference and Exhibit, 1999.
DOI : 10.2514/6.1999-2925

J. Hur, J. Park, G. Jung, and S. Youn, Enhancements on a micromechanical constitutive model of solid propellant, International Journal of Solids and Structures, vol.87, pp.110-119, 2016.
DOI : 10.1016/j.ijsolstr.2016.02.025

K. M. Ide and S. Ho, Fracture behaviour of accelerated aged solid rocket propellants, Journal of Materials Science, vol.34, issue.17, pp.4209-4218, 1999.
DOI : 10.1023/A:1004690416667

H. M. Inglis, P. H. Geubelle, K. Matou?, H. Tan, and Y. Huang, Cohesive modeling of dewetting in particulate composites: micromechanics vs. multiscale finite element analysis, Mechanics of Materials, vol.39, issue.6, pp.580-595, 2007.
DOI : 10.1016/j.mechmat.2006.08.008

D. Jalocha, Modélisation du comportement viscoélastique d'unélastomèreunélastomère fortement chargé sous sollicitations multiaxiales, Thèse de doctorat, Ecole Polytechnique, 2015.

G. Jung and S. Youn, A nonlinear viscoelastic constitutive model of solidpropellant, International Journal of Solids and Structures, vol.36, issue.25, pp.3755-3777, 1999.
DOI : 10.1016/S0020-7683(98)00175-9

S. D. Kakade, S. B. Navale, and V. L. Narsimhan, Studies on Interface Properties of Propellant Liner for Case-Bonded Composite Propellants, Journal of Energetic Materials, vol.21, issue.2, pp.73-85, 2003.
DOI : 10.1080/713845500

J. N. Kapur, P. K. Sahoo, and A. K. Wong, A new method for gray-level picture thresholding using the entropy of the histogram, Computer Vision, Graphics, and Image Processing, vol.29, issue.3, pp.273-285, 1985.
DOI : 10.1016/0734-189X(85)90125-2

C. S. Kim, P. N. Noble, C. H. Zoun, D. Tarrant, and E. A. Gao, The Mechanism of Filler Reinforcement from addition of neutral polymeric bonding agents to energetic polar propellants, Propellants, Explosives, Pyrotechnics, vol.54, issue.2, pp.51-58, 1992.
DOI : 10.1002/prep.19920170202

S. Klein, M. Staring, K. Murphy, M. A. Viergever, and J. P. Pluim, <emphasis emphasistype="mono">elastix</emphasis>: A Toolbox for Intensity-Based Medical Image Registration, IEEE Transactions on Medical Imaging, vol.29, issue.1, pp.196-205, 2010.
DOI : 10.1109/TMI.2009.2035616
URL : http://repository.tue.nl/781111

W. G. Knauss, I. Chasiotis, and E. Y. Huang, Mechanical measurements at the micron and nanometer scales, Mechanics of Materials, vol.35, issue.3-6, pp.217-231, 2003.
DOI : 10.1016/S0167-6636(02)00271-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.6064

C. Kovalchick, Mechanics of peeling : cohesive zone law and stability, 2011.

E. Landsem, T. L. Jensen, F. K. Hansen, E. Unneberg, and T. E. Kristensen, Neutral Polymeric Bonding Agents (NPBA) and Their Use in Smokeless Composite Rocket Propellants Based on HMX-GAP-BuNENA, Propellants, Explosives, Pyrotechnics, vol.9, issue.5, pp.581-591, 2012.
DOI : 10.1002/prep.201100136

F. Lavergne, ContributionsàContributionsà l'´ etude des déformations différées des matériaux composites viscoélastiques, Thèse de doctorat, 2015.

A. Q. Le, T. Z. Sun, and T. C. Miller, Detectability of Delaminations in Solid Rocket Motors with Embedded Stress Sensors, Journal of Propulsion and Power, vol.29, issue.2, pp.299-304, 2013.
DOI : 10.2514/1.B34523

L. Maner, . V2, and A. Apollo, Et les savants de Hitler ont conquis l'espace, Histoire, vol.227, 1998.

J. Leblond, Mécanique de la rupture fragile et ductile, 2003.
DOI : 10.1016/s1251-8069(98)80033-x

A. H. Lepie and A. Adicoff, Dynamic mechanical behavior of highly filled polymers: Dewetting effect, Journal of Applied Polymer Science, vol.16, issue.5, pp.1155-1166, 1955.
DOI : 10.1002/app.1972.070160510

A. H. Lepie and A. Adicoff, Energy balances and uniaxial damage of highly filled elastomers, Journal of Applied Polymer Science, vol.19, issue.10, pp.2821-2830, 1975.
DOI : 10.1002/app.1975.070191018

P. B. Lindley, Ozone attack at a rubber-metal bond, Journal of the Institution of the Rubber Industry, vol.5, pp.243-248, 1971.

C. T. Liu, L. M. Klynn, and J. D. Thompson, Monitoring microstructural evolution and crack formation in a solid propellant under incremental strain condition using digital radiography X-ray techniques, 2004.

C. T. Liu, R. Nevì-ere, and E. G. Ravichandran, Crack Growth Behavior in a Highly Filled Elastomer, Proceedings of the 16th European Conference of Fracture, 2006.
DOI : 10.1007/1-4020-4972-2_563

B. D. Lubachevsky and F. H. Stillinger, Geometric properties of random disk packings, Journal of Statistical Physics, vol.58, issue.1, pp.561-583, 1990.
DOI : 10.1007/BF01025983

D. Mateos, Transformation de matériauxmatériauxénergétiques par oxydation hydrothermale : ´ etude cinétique globale et simulation du procédé en régime permanent sur des composés modèles, Thèse de doctorat, 2003.

K. Matou? and P. H. Geubelle, Finite element formulation for modeling particle debonding in reinforced elastomers subjected to finite deformations, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.1-3, pp.620-633, 2006.
DOI : 10.1016/j.cma.2006.06.008

K. Matou?, H. M. Inglis, X. Gu, D. Rypl, T. L. Jackson et al., Multiscale modeling of solid propellants: From particle packing to failure, Composites Science and Technology, vol.67, issue.7-8, pp.1694-1708, 2007.
DOI : 10.1016/j.compscitech.2006.06.017

M. Mehdikhani, M. Aravand, B. Sabuncuoglu, M. G. Callens, S. V. Lomov et al., Full-field strain measurements at the micro-scale in fiber-reinforced composites using digital image correlation, Composite Structures, vol.140, pp.192-201, 2016.
DOI : 10.1016/j.compstruct.2015.12.020

S. J. Mehilal, S. Nandagopal, P. P. Singh, K. K. Radhakrishnan, and E. B. Bhattacharya, Size and shape of ammonium perchlorate and their influence on properties of composite propellant, Defence Science Journal, vol.59, pp.294-299, 2009.

L. Meunier, G. Chagnon, D. Favier, L. Orgéas, and E. P. Vacher, Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber, Polymer Testing, vol.27, issue.6, pp.765-777, 2008.
DOI : 10.1016/j.polymertesting.2008.05.011

K. J. Min and F. N. Kelley, Time-dependent fracture behavior in highly filled elastomeric composites as model solid propellants, Korea Polymer Journal, vol.1, pp.134-145, 1993.

J. Moraleda, J. Segurado, and E. J. Llorca, Effect of interface fracture on the tensile deformation of fiber-reinforced elastomers, International Journal of Solids and Structures, vol.46, issue.25-26, pp.4287-4297, 2009.
DOI : 10.1016/j.ijsolstr.2009.08.020

H. K. Mueller, Crack Propagation in a Linearly Viscoelastic Strip, Journal of Applied Mechanics, vol.38, issue.2, pp.483-488, 1971.
DOI : 10.1115/1.3408801
URL : http://authors.library.caltech.edu/53144/1/389157.pdf

C. Nadot-martin, H. Trumel, and E. A. Fanget, Morphology-based homogeneization for viscoelastic particulate composites via a scale transition approach, Journal of Theoretical Applied Mechanics, vol.44, pp.553-583, 2003.
DOI : 10.1016/s0997-7538(02)00003-7

N. Nazare, S. N. Asthana, and E. H. Singh, Glycidyl azide polymer (GAP) - an energetic component of advanced solid rocket propellants - a review, Journal of Energetic Materials, vol.10, issue.1, 1992.
DOI : 10.1016/0010-2180(84)90028-2

A. Needleman, A Continuum Model for Void Nucleation by Inclusion Debonding, Journal of Applied Mechanics, vol.54, issue.3, pp.525-531, 1987.
DOI : 10.1115/1.3173064

A. Needleman, Some Issues in Cohesive Surface Modeling, Procedia IUTAM, vol.10, pp.221-246, 2014.
DOI : 10.1016/j.piutam.2014.01.020

S. Nemat-nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, Journal of Applied Mechanics, vol.63, issue.2, 1998.
DOI : 10.1115/1.2788912

R. Nevì-ere, An extension of the time???temperature superposition principle to non-linear viscoelastic solids, International Journal of Solids and Structures, vol.43, issue.17, pp.5295-5306, 2006.
DOI : 10.1016/j.ijsolstr.2005.09.009

D. Ngo, K. Park, G. H. Paulino, and E. Y. Huang, On the constitutive relation of materials with microstructure using a potential-based cohesive model for interface interaction, Engineering Fracture Mechanics, vol.77, issue.7, pp.1153-1174, 2010.
DOI : 10.1016/j.engfracmech.2010.01.007

R. Niu, Q. Zhou, X. Chen, Y. Ju, Z. Wei et al., Experimental and numerical analysis of mode II fracture between propellant and insulation, International Journal of Adhesion and Adhesives, vol.52, pp.1-10, 2014.
DOI : 10.1016/j.ijadhadh.2014.03.005

J. Nottin, B. Gondouin, and E. M. Lucas, Experimental investigation of cracks growth in composite propellants. California, 1985.

A. E. Oberth and R. S. Bruenner, Tear Phenomena around Solid Inclusions in Castable Elastomers, Transactions of the Society of Rheology, vol.9, issue.2, pp.577-588, 1965.
DOI : 10.1122/1.548997

R. W. Ogden, Non-linear Elastic Deformations, Courier Corporation, 1997.

W. Oh and W. B. Lindquist, Image thresholding by indicator kriging. Transactions on Pattern Analysis and Machine Intelligence, pp.590-602, 1999.

J. Orteu, D. Garcia, L. Robert, and E. F. Bugarin, A speckle-texture generator, Proceedings of the Speckle'06 international conference, 2006.
DOI : 10.1117/12.695280

B. Pan, L. Yu, J. Yuan, Z. Shen, and E. G. Tang, Determination of viscoelastic Poisson's ratio of solid propellants using an accuracy-enhanced 2D digital image correlation technique. Propellants, Explosives and Pyrotechnics, pp.821-830, 2015.

K. Park and G. H. Paulino, Cohesive Zone Models: A Critical Review of Traction-Separation Relationships Across Fracture Surfaces, Applied Mechanics Reviews, vol.64, issue.6, 2011.
DOI : 10.1115/1.4023110

K. Park, G. H. Paulino, and J. R. Roesler, A unified potential-based cohesive model of mixed-mode fracture, Journal of the Mechanics and Physics of Solids, vol.57, issue.6, pp.891-908, 2009.
DOI : 10.1016/j.jmps.2008.10.003

S. W. Park and R. A. Schapery, A viscoelastic constitutive model for particulate composites with growing damage, International Journal of Solids and Structures, vol.34, issue.8, pp.931-947, 1997.
DOI : 10.1016/S0020-7683(96)00066-2

S. Rao, Y. Krishna, and B. N. Rao, Fracture toughness of nitramine and composite solid propellants, Materials Science and Engineering: A, vol.403, issue.1-2, pp.125-133, 2005.
DOI : 10.1016/j.msea.2005.04.054

G. Ravichandran and C. T. Liu, Modeling constitutive behavior of particulate composites undergoing damage, International Journal of Solids and Structures, vol.32, issue.6-7, pp.979-990, 1995.
DOI : 10.1016/0020-7683(94)00172-S

J. Réthoré and R. Estevez, Identification of a cohesive zone model from digital images at the micron-scale, Journal of the Mechanics and Physics of Solids, vol.61, issue.6, pp.1407-1420, 2013.
DOI : 10.1016/j.jmps.2013.01.011

P. Reu, All about speckles : Aliasing. Experimental Techniques, pp.1-3, 2014.
DOI : 10.1111/ext.12111

R. S. Rivlin, The Effective Work of Adhesion, pp.2611-2614, 1944.
DOI : 10.1007/978-1-4612-2416-7_179

R. S. Rivlin and D. W. Saunders, Large Elastic Deformations of Isotropic Materials. VII. Experiments on the Deformation of Rubber, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.243, issue.865, pp.251-288, 1951.
DOI : 10.1098/rsta.1951.0004

R. S. Rivlin and A. G. Thomas, Rupture of rubber. I. Characteristic energy for tearing, Journal of Polymer Science, vol.10, issue.3, pp.291-318, 1953.
DOI : 10.1002/pol.1953.120100303

N. Saad-gouider, R. Estevez, C. Olagnon, and E. R. Séguéla, Calibration of a viscoplastic cohesive zone for crazing in PMMA, Engineering Fracture Mechanics, vol.73, issue.16, pp.2503-2522, 2006.
DOI : 10.1016/j.engfracmech.2006.05.006
URL : https://hal.archives-ouvertes.fr/hal-00436163

D. Safranski and K. Gall, Effect of chemical structure and crosslinking density on the thermo-mechanical properties and toughness of (meth)acrylate shape memory polymer networks, Polymer, vol.49, issue.20, pp.4446-4555, 2008.
DOI : 10.1016/j.polymer.2008.07.060

R. A. Schapery, A theory of crack initiation and growth in viscoelastic media, International Journal of Fracture, vol.27, issue.1, pp.141-159, 1975.
DOI : 10.1007/BF00034721

R. A. Schapery, A theory of mechanical behavior of elastic media with growing damage and other changes in structure, Journal of the Mechanics and Physics of Solids, vol.38, issue.2, pp.215-253, 1990.
DOI : 10.1016/0022-5096(90)90035-3

J. Schöberl, NETGEN An advancing front 2D/3D-mesh generator based on abstract rules, Computing and Visualization in Science, vol.1, issue.1, pp.41-52, 1997.
DOI : 10.1007/s007910050004

H. W. Schreier and M. A. Sutton, Systematic errors in digital image correlation due to undermatched subset shape functions, Experimental Mechanics, vol.41, issue.1, pp.303-310, 2002.
DOI : 10.1007/BF02410987

J. Segurado and J. Llorca, A numerical approximation to the elastic properties of sphere-reinforced composites, Journal of the Mechanics and Physics of Solids, vol.50, issue.10, pp.2107-2121, 2002.
DOI : 10.1016/S0022-5096(02)00021-2

J. Segurado and J. Llorca, A new three-dimensional interface finite element to simulate fracture in composites, International Journal of Solids and Structures, vol.41, issue.11-12, pp.2977-2993, 2004.
DOI : 10.1016/j.ijsolstr.2004.01.007

J. Segurado and J. Llorca, A computational micromechanics study of the effect of interface decohesion on the mechanical behavior of composites, Acta Materialia, vol.53, issue.18, pp.4931-4942, 2005.
DOI : 10.1016/j.actamat.2005.07.013

D. P. Shamonin, E. E. Bron, B. P. Lelieveldt, M. Smits, S. Klein et al., Fast parallel image registration on CPU and GPU for diagnostic classification of Alzheimer's disease, Frontiers in Neuroinformatics, vol.7, pp.1-15, 2014.
DOI : 10.3389/fninf.2013.00050

B. Shen and G. H. Paulino, Direct Extraction of Cohesive Fracture Properties from Digital Image Correlation: A Hybrid Inverse Technique, Experimental Mechanics, vol.7, issue.349, pp.143-163, 2011.
DOI : 10.1007/s11340-010-9342-6

J. C. Simo, On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects, Computer Methods in Applied Mechanics and Engineering, vol.60, issue.2, pp.153-173, 1987.
DOI : 10.1016/0045-7825(87)90107-1

C. R. Siviour, P. R. Laity, W. G. Proud, J. E. Field, D. Porter et al., High strain rate properties of a polymer-bonded sugar: their dependence on applied and internal constraints, Proceedings of the Royal Society, pp.1229-1255, 2008.
DOI : 10.1098/rspa.1975.0074

D. W. Spring and G. H. Paulino, A growing library of three-dimensional cohesive elements for use in ABAQUS, Engineering Fracture Mechanics, vol.126, pp.190-216, 2014.
DOI : 10.1016/j.engfracmech.2014.04.004

D. W. Spring and G. H. Paulino, Computational homogenization of the debonding of particle reinforced composites: The role of interphases in interfaces, Computational Materials Science, vol.109, pp.209-224, 2015.
DOI : 10.1016/j.commatsci.2015.07.012

P. Sun, X. Liao, and E. Z. Wang, Construction and Effect of New Mechanical Structure in Traditional Nitroguanidine Propellants, Journal of Energetic Materials, vol.32, issue.10
DOI : 10.1080/107594100305410

S. R. Swanson and L. W. Christensen, A constitutive formulation for high-elongation propellants, Journal of Spacecraft and Rockets, vol.20, issue.6, pp.559-566, 1983.
DOI : 10.2514/3.8587

P. Sztefek, M. Vanleene, R. Olsson, R. Collinson, A. A. Pitsillides et al., Using digital image correlation to determine bone surface strains during loading and after adaptation of the mouse tibia, Journal of Biomechanics, vol.43, issue.4, pp.599-605, 2010.
DOI : 10.1016/j.jbiomech.2009.10.042

H. Tan, C. Liu, Y. Huang, and P. H. Geubelle, The cohesive law for the particle/matrix interfaces in high explosives, Journal of the Mechanics and Physics of Solids, vol.53, issue.8, pp.1892-1917, 2005.
DOI : 10.1016/j.jmps.2005.01.009

H. Tan, Y. Huang, C. Liu, G. Ravichandran, H. M. Inglis et al., The uniaxial tension of particulate composite materials with nonlinear interface debonding, International Journal of Solids and Structures, vol.44, issue.6, pp.1809-1822, 2007.
DOI : 10.1016/j.ijsolstr.2006.09.004

Z. J. Tao, S. D. Ping, Z. Mei, and Z. P. Cheng, Microstructure Deformation and Fracture Mechanism of Highly Filled Polymer Composites under Large Tensile Deformation, 12th International Symposium on Multiscale, Multifunctional and Functionaly Graded Materials, 2013.
DOI : 10.1088/1742-6596/419/1/012014

D. G. Thomas, Transport characteristics of suspension: VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles, Journal of Colloid Science, vol.20, issue.3, pp.267-277, 1965.
DOI : 10.1016/0095-8522(65)90016-4

J. Thévenin, Le turboréacteur, moteur des avionsàavionsà réaction, 2004.

S. Torquato, Random Heterogeneous Materials, 2002.
DOI : 10.1007/978-1-4757-6355-3

S. Torquato and F. Lado, Characterisation of the microstructure of distributions of rigid rods and discs in a matrix, Journal of Physics A: Mathematical and General, vol.18, issue.1, pp.141-148, 1985.
DOI : 10.1088/0305-4470/18/1/025

M. Touboul, C. Nadot-martin, A. Dragon, and E. A. Fanget, A multi-scale " morphological approach " for highly-filled particulate composites : evaluation in hyperelasticity and first application to viscohyperelasticity, Archives of Mechanics, vol.59, pp.403-433, 2007.

P. Toulemonde, J. Diani, P. Gilormini, and E. N. Desgardin, A numerical study of the influence of polydispersity on the behaviour until break of a reinforced hyperelastic material with a cohesive interface, Mat??riaux & Techniques, vol.103, issue.3, 2015.
DOI : 10.1051/mattech/2015026
URL : https://hal.archives-ouvertes.fr/hal-01167823

P. Toulemonde, J. Diani, P. Gilormini, and E. N. Desgardin, On the account of a cohesive interface for modeling the behavior until break of highly filled elastomers, Mechanics of Materials, vol.93, pp.124-133, 2016.
DOI : 10.1016/j.mechmat.2015.09.014

P. Toulemonde, J. Diani, P. Gilormini, N. Desgardin, and R. Nevì-ere, Effects of small particles on the mechanical behavior and on the local damage of highly filled elastomers, Journal of Materials Science, vol.33, issue.2, 2016.
DOI : 10.1023/B:JMSC.0000013883.45092.45
URL : https://hal.archives-ouvertes.fr/hal-01403265

P. Toulemonde, J. Diani, P. Gilormini, N. Desgardin, and R. Nevì-ere, Propellant cohesive fracture during the peeling test of a propellant/liner structure, Polymer Testing, 2016.

P. Toulemonde, J. Diani, P. Gilormini, G. Lacroix, and E. N. Desgardin, Roles of the interphase stiffness and percolation on the behavior of solid propellants. Propellants, Explosives and Pyrotechnics, 2016.

P. Toulemonde, P. Gilormini, J. Diani, and E. A. Gardere, Cohesive model for damage at filler-matrix interface : A critical comparison between model and experimental data, Journal of the Mechanics and Physics of Solids, 2016.

Y. Traissac, Comportement en grandes déformations d'un propergol solide Application au dimensionnement mécanique sous pression du tir d'un chargement, Thèse de doctorat, 1995.

M. Trombini, C. Nadot-martin, D. Halm, M. Gueguen, G. Contesse et al., Multiscale damage modeling with the ???Morphological Approach??? to??highlight particle size and interaction effects in highly-filled particulate composites, European Journal of Mechanics - A/Solids, vol.53, pp.163-174, 2015.
DOI : 10.1016/j.euromechsol.2015.04.004

A. Turon, C. G. Davila, P. P. Camanho, and E. J. Costa, An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models, Engineering Fracture Mechanics, vol.74, issue.10, pp.1665-1682, 2007.
DOI : 10.1016/j.engfracmech.2006.08.025

G. S. Tussiwand, V. E. Saouma, R. Terzenbach, and L. T. De-luca, Fracture Mechanics of Composite Solid Rocket Propellant Grains: Material Testing, Journal of Propulsion and Power, vol.25, issue.1, pp.60-73, 2009.
DOI : 10.2514/1.34227

V. Tvergaard and J. W. Hutchinson, The influence of plasticity on mixed mode interface toughness, Journal of the Mechanics and Physics of Solids, vol.41, issue.6, pp.1119-1135, 1993.
DOI : 10.1016/0022-5096(93)90057-M

C. V. Verhoosel, J. J. Remmers, M. A. Gutiérrez, and R. De-borst, Computational homogenization for adhesive and cohesive failure in quasi-brittle solids, International Journal for Numerical Methods in Engineering, vol.61, issue.15, pp.1155-1179, 2010.
DOI : 10.1002/nme.2854

L. A. Vratsanos and R. J. Farris, A predictive model for the mechanical behavior of particulate composites. Part II: Comparison of model predictions to literature data, Polymer Engineering and Science, vol.18, issue.22, pp.1466-1474, 1993.
DOI : 10.1002/pen.760332205

L. A. Vratsanos and R. J. Farris, A predictive model for the mechanical behavior of particulate composites. Part I: Model derivation, Polymer Engineering and Science, vol.15, issue.22, pp.1458-1465, 1993.
DOI : 10.1002/pen.760332204

M. Wade, Encyclopedia astronautica, 2016.

Y. Wang and A. M. Cuitino, Full-field measurements of heterogeneous deformation patterns on polymeric foams using digital image correlation, International Journal of Solids and Structures, vol.39, issue.13-14, pp.3999-3796, 2002.
DOI : 10.1016/S0020-7683(02)00176-2

D. M. Williamson, S. J. Palmer, W. G. Proud, and R. Govier, THERMODYNAMIC WORK OF ADHESION BETWEEN HMX AND A UK PBX BINDER SYSTEM, 2009.
DOI : 10.1063/1.3295178

Y. Wu and F. Huang, A micromechanical model for predicting combined damage of particles and interface debonding in PBX explosives, Mechanics of Materials, vol.41, pp.27-47, 2009.

J. Xavier, A. M. Sousa, J. J. Morais, V. M. Filipe, and E. M. Vaz, Measuring displacement fields by cross-correlation and a differential technique: experimental validation, Optical Engineering, vol.51, issue.4, 2012.
DOI : 10.1117/1.OE.51.4.043602

S. Xia, L. Ponson, G. Ravichandran, and E. K. Bhattacharya, Toughening and Asymmetry in Peeling of Heterogeneous Adhesives, Physical Review Letters, vol.108, issue.19, 2012.
DOI : 10.1103/PhysRevLett.108.196101
URL : https://hal.archives-ouvertes.fr/hal-00679584

F. Xu, N. Aravas, and E. P. Sofronis, Constitutive modeling of solid propellant materials with evolving microstructural damage, Journal of the Mechanics and Physics of Solids, vol.56, issue.5, pp.2050-2073, 2008.
DOI : 10.1016/j.jmps.2007.10.013

V. Yang, T. B. Brill, and W. Ren, Solid propellant chemistry, combustion, and motor interior ballistics, 2000.

H. C. Yildirim and S. Ozüpek, Structural assessment of a solid propellant rocket motor: Effects of aging and damage, Aerospace Science and Technology, vol.15, issue.8, pp.635-641, 2011.
DOI : 10.1016/j.ast.2011.01.002

U. Yilmazer and R. J. Farris, Physical aging in particulate-filled composites with an amorphous glassy matrix, Journal of Applied Polymer Science, vol.28, issue.10, pp.3269-3280, 1983.
DOI : 10.1002/app.1983.070281021

K. Yun, J. Park, G. Jung, and S. Youn, Viscoelastic constitutive modeling of solid propellant with damage, International Journal of Solids and Structures, vol.80, pp.118-127, 2016.
DOI : 10.1016/j.ijsolstr.2015.10.028

X. A. Zhong and W. G. Knauss, Analysis of Interfacial Failure in Particle-Filled Elastomers, Journal of Engineering Materials and Technology, vol.119, issue.3, pp.198-204, 1997.
DOI : 10.1115/1.2812243

X. A. Zhong and W. G. Knauss, Effects of Particle Interaction and Size Variation on Damage Evolution in Filled Elastomers, Mechanics of Composite Materials and Structures, pp.35-53, 2000.
DOI : 10.1080/107594100305410

Q. Zhou, Y. Ju, Z. Wei, B. Han, and C. Zhou, Cohesive Zone Modeling of Propellant and Insulation Interface Debonding, The Journal of Adhesion, vol.33, issue.3, pp.230-251, 2013.
DOI : 10.1016/j.ijsolstr.2008.04.007

Q. Zhou, J. Xu, X. Chen, and C. Zhou, Review of the Adhesively Bonded Interface in a Solid Rocket Motor, The Journal of Adhesion, vol.32, issue.5, pp.402-428, 2016.
DOI : 10.1016/S0022-5096(00)00065-X

S. Ozüpek and E. B. Becker, Constitutive Modeling of High-Elongation Solid Propellants, Journal of Engineering Materials and Technology, vol.114, issue.1, pp.111-115, 1992.
DOI : 10.1115/1.2904130