. Abaqus, http://www.3ds.com/products-services/simulia

O. Alix, P. Ladeveze, and E. Vittecoq, Modelling and identification of the mechanical behaviour of composite laminates in compression, Composites Science and Technology, vol.51, issue.1, pp.35-42, 1994.
DOI : 10.1016/0266-3538(94)90154-6

N. Alves, J. Gomez-ribelles, and J. Mano, Study of the Molecular Mobility in Polymers with the Thermally Stimulated Recovery Technique???A Review, Journal of Macromolecular Science, Part C: Polymer Reviews, vol.18, issue.2, pp.99-124, 2005.
DOI : 10.1016/S0032-3861(02)00236-7

A. Amin, A. Lion, S. Sekita, and Y. Okui, Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: Experimental identification and numerical verification, International Journal of Plasticity, vol.22, issue.9, pp.1610-1657, 2006.
DOI : 10.1016/j.ijplas.2005.09.005

E. Artin, The Gamma Function, 1964.

R. Avazmohammadi and P. Castaneda, Tangent Second-Order Estimates for the Large-Strain, Macroscopic Response of Particle-Reinforced Elastomers, Journal of Elasticity, vol.83, issue.2, pp.139-183, 2012.
DOI : 10.1007/s10659-012-9404-3

A. Azoug, Micromecanismes et Comportement Macroscopique d un Elastomere Fortement Chargement, 2010.

A. Azoug, A. Constantinescu, R. Pradeilles-duval, M. Vallat, R. Neviere et al., Effect of the sol fraction and hydrostatic deformation on the viscoelastic behavior of prestrained highly filled elastomers, Journal of Applied Polymer Science, vol.63, issue.3, pp.1772-1780, 2013.
DOI : 10.1002/app.37800
URL : https://hal.archives-ouvertes.fr/hal-00761141

A. Azoug, A. Thorin, R. Neviere, R. M. Pradeilles-duval, and A. Constantinescu, Influence of orthogonal prestrain on the viscoelastic behaviour of highly-filled elastomers, Polymer Testing, vol.32, issue.2, pp.375-384, 2013.
DOI : 10.1016/j.polymertesting.2012.12.005
URL : https://hal.archives-ouvertes.fr/hal-01402496

A. Azoug, A. Constantinescu, R. M. Duval, and R. Neviere, Influence of cross-linking and plasticizing on the viscoelasticity of highly-filled elastomers, Journal of Applied Polymer Science, vol.131, pp.201-215, 2014.

A. Azoug, A. Constantinescu, R. M. Duval, and R. Neviere, Influence of fillers and bonding agents on the viscoelasticity of highly filled elastomers, Journal of Applied Polymer Science, vol.47, issue.16, pp.301-315, 2014.
DOI : 10.1002/app.40664
URL : https://hal.archives-ouvertes.fr/hal-01219758

A. Azoug, A. Constantinescu, and R. Neviere, Molecular Origin of the Influence of the Temperature on the Loss Factor of a Solid Propellant, Propellants, Explosives, Pyrotechnics, vol.22, issue.4, 2014.
DOI : 10.1002/prep.201400060
URL : https://hal.archives-ouvertes.fr/hal-01219725

A. Azoug, A. Constantinescu, R. Neviere, and G. Jacob, Microstructure and deformation mechanisms of a solid propellant using 1H NMR spectroscopy, Fuel, vol.148, pp.1-9, 2015.
DOI : 10.1016/j.fuel.2015.01.074
URL : https://hal.archives-ouvertes.fr/hal-01219721

J. Ball, Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.306, issue.1496, pp.557-611, 1982.
DOI : 10.1098/rsta.1982.0095

M. Baumgaertel and H. Winter, Interrelation between continuous and discrete relaxation time spectra, Journal of Non-Newtonian Fluid Mechanics, vol.44, pp.15-36, 1992.
DOI : 10.1016/0377-0257(92)80043-W

D. Bellett, F. Morel, A. Morel, and J. Lebrun, A Biaxial Fatigue Specimen for Uniaxial Loading, Strain, vol.13, issue.3, pp.227-240, 2011.
DOI : 10.1111/j.1475-1305.2009.00674.x
URL : https://hal.archives-ouvertes.fr/hal-00953546

H. , D. Benedetto, C. Sauzeat, K. Bilodeau, M. Buannic et al., General overview of the time-temperature superposition principle validity for materials containing bituminous binder, International Journal of Roads and Airports, vol.10, pp.35-52, 2010.

W. Benenson, J. Harris, H. Stocker, and H. Lutz, Handbook of Physics, 2000.
DOI : 10.1007/0-387-21632-4

N. Bhatnagara, R. Bhardwaja, P. Selvakumara, and M. Brieu, Development of a biaxial tensile test fixture for reinforced thermoplastic composites, Polymer Testing, vol.26, issue.2, pp.154-161, 2007.
DOI : 10.1016/j.polymertesting.2006.09.007

S. Bhattacharjee, A. Swamy, and J. Daniel, Continuous relaxation and retardation spectrum method for viscoelastic characterization of asphalt concrete, Mechanics of Time-Dependent Materials, vol.116, issue.8, pp.287-305, 2012.
DOI : 10.1007/s11043-011-9162-9

J. Bonet, Large strain viscoelastic constitutive models, International Journal of Solids and Structures, vol.38, issue.17, pp.2953-2968, 2001.
DOI : 10.1016/S0020-7683(00)00215-8

C. Brabec and A. Schausberger, An improved algorithm for calculating relaxation time spectra from material functions of polymers with monodisperse and bimodal molar mass distributions, Rheologica Acta, vol.32, issue.4, pp.397-405, 1995.
DOI : 10.1007/BF00367154

C. Brabec, H. Rgl, and A. Schausberger, Investigation of relaxation properties of polymer melts by comparison of relaxation time spectra calculated with different algorithms, Rheologica Acta, vol.24, issue.6, pp.667-676, 1997.
DOI : 10.1007/BF00367363

R. Bracewell, The Fourier Transform and Its Applications, American Journal of Physics, vol.34, issue.8, 1975.
DOI : 10.1119/1.1973431

H. Bresis, Analyse Fonctionelle, 1983.

M. Brieu, J. Diani, and N. Bhatnagar, A new biaxial tension test fixture for uniaxial testing machine. a validation for hyperelastic behavior of rubber-like materials, Journal of Testing and Evaluation, vol.35, pp.35-44, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00118570

F. Brinson, Polymer Engineering Science and Viscoelasticity. An Introduction, 2008.
DOI : 10.1007/978-0-387-73861-1

M. Bryning, D. Milkie-an, M. Islam, J. Kikkawa, and A. Yodh, Thermal conductivity and interfacial resistance in single-wall carbon nanotube epoxy composites, Applied Physics Letters, vol.87, issue.16, pp.161-164, 2005.
DOI : 10.1063/1.2103398

C. Carrot and V. Verney, Determination of a discrete relaxation spectrum from dynamic experimental data using the Pad??-Laplace method, European Polymer Journal, vol.32, issue.1, pp.69-77, 1996.
DOI : 10.1016/0014-3057(95)00103-4

S. Castagnet, High-temperature mechanical behavior of semi-crystalline polymers and relationship to a rubber-like ???relaxed??? state, Mechanics of Materials, vol.41, issue.2, pp.75-86, 2009.
DOI : 10.1016/j.mechmat.2008.10.001

A. Chai, E. Verron, A. Andriyana, and M. Johan, Mullins effect in swollen rubber: Experimental investigation and constitutive modelling, Polymer Testing, vol.32, issue.4, pp.748-759, 2013.
DOI : 10.1016/j.polymertesting.2013.03.006

L. Chevalier, S. Calloch, F. Hild, and Y. Marco, Digital image correlation used to analyze the multiaxial behavior of rubber-like materials, European Journal of Mechanics - A/Solids, vol.20, issue.2, pp.169-187, 2001.
DOI : 10.1016/S0997-7538(00)01135-9
URL : https://hal.archives-ouvertes.fr/hal-00014019

K. Cho and A. Gent, Cavitation in model elastomeric composites, Journal of Materials Science, vol.59, issue.1, pp.141-144, 1988.
DOI : 10.1007/BF01174045

R. Christensen, A Nonlinear Theory of Viscoelasticity for Application to Elastomers, Journal of Applied Mechanics, vol.47, issue.4, pp.762-768, 1980.
DOI : 10.1115/1.3153787

B. Coleman and M. Gurtin, Thermodynamics with Internal State Variables, The Journal of Chemical Physics, vol.47, issue.2, pp.597-613, 1967.
DOI : 10.1063/1.1711937

R. Cook, Finite Element Modeling for Stress Analysis, 1995.

J. Crevoisier, G. Besnard, H. Merckel, . Zhang, J. Vion-loisel et al., Volume changes in a filled elastomer studied via digital image correlation, Polymer Testing, vol.31, issue.5, pp.663-670, 2012.
DOI : 10.1016/j.polymertesting.2012.04.003
URL : https://hal.archives-ouvertes.fr/hal-00749122

H. Darmstadt, C. Roy, and S. Kaliaguine, Characterization of pyrolytic carbon blacks from commercial tire pyrolysis plants, Carbon, vol.33, issue.10, pp.1449-1455, 1995.
DOI : 10.1016/0008-6223(95)00096-V

A. Davies, Solid propellants: The combustion of particles of metal ingredients, Combustion and Flame, vol.7, pp.359-367, 1963.
DOI : 10.1016/0010-2180(63)90212-8

A. Daviesa and N. Gouldinga, Wavelet regularization and the continuous relaxation spectrum, Journal of Non-Newtonian Fluid Mechanics, vol.189, issue.190, pp.19-30, 2012.
DOI : 10.1016/j.jnnfm.2012.09.002

B. Deng, Z. Shen, J. Duan, and G. Tang, Finite element method for viscoelastic medium with damage and the application to structural analysis of solid rocket motor grain, Science China Physics, Mechanics & Astronomy, vol.16, issue.5, pp.908-915, 2014.
DOI : 10.1007/s11433-013-5230-2

J. Diani and P. Gilormini, Using a pattern-based homogenization scheme for modeling the linear viscoelasticity of nano-reinforced polymers with an interphase, Journal of the Mechanics and Physics of Solids, vol.63, pp.51-61, 2014.
DOI : 10.1016/j.jmps.2013.10.004
URL : https://hal.archives-ouvertes.fr/hal-00924994

J. Diani, M. Brieu, and P. Gilormini, Observation and modeling of the anisotropic visco-hyperelastic behavior of a rubberlike material, International Journal of Solids and Structures, vol.43, issue.10, pp.3044-3056, 2006.
DOI : 10.1016/j.ijsolstr.2005.06.045
URL : https://hal.archives-ouvertes.fr/hal-00124139

J. Diani, Y. Merckel, M. Brieu, and J. Caillard, COMPARISON OF STRESS???SOFTENINGS IN CARBON-BLACK FILLED NATURAL RUBBER AND STYRENE???BUTADIENE RUBBER, Rubber Chemistry and Technology, vol.86, issue.4, pp.572-578, 2013.
DOI : 10.5254/rct.13.87964

M. Doi, Molecular theory of the viscoel??stic properties of concentrated polymer solutions, Chemical Physics Letters, vol.26, issue.2, pp.269-275, 1974.
DOI : 10.1016/0009-2614(74)85412-6

M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, 1986.

M. Donna, P. Hanson, and T. Parra, Thermal properties measurements of solid rocket propellant oxidizers and binder materials as a function of temperature, Journal of Energetic Materials, vol.17, pp.1-48, 1999.

J. B. Donnet, Carbon Black, 1993.

J. Duan, Fitting methods for relaxation modulus of viscoelastic materials, Journal of Central South University of Technology, vol.69, issue.9, pp.248-250, 2007.
DOI : 10.1007/s11771-007-0049-5

S. Edwards, Dynamics of polymers in solution and melts, Polymer, vol.26, issue.2, pp.163-170, 1985.
DOI : 10.1016/0032-3861(85)90025-4

R. 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

W. Findley, J. Lai, and K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials, 1976.

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

Y. Fukahori, Generalized Concept of the Reinforcement of Elastomers. Part 1: Carbon Black Reinforcement of Rubbers, Rubber Chemistry and Technology, vol.80, issue.4, pp.701-725, 2007.
DOI : 10.5254/1.3548189

A. Gent and P. Lindley, Internal Rupture of Bonded Rubber Cylinders in Tension, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.249, issue.1257, pp.195-205, 1959.
DOI : 10.1098/rspa.1959.0016

A. Girard and N. Roy, Dynamique des structures industrielles, 2003.

I. Gitman, H. Askes, and L. Sluys, Representative volume: Existence and size determination, Engineering Fracture Mechanics, vol.74, issue.16, pp.2518-2534, 2007.
DOI : 10.1016/j.engfracmech.2006.12.021

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, pp.1028-1036, 2013.
DOI : 10.1115/1.4023497

S. Govindjee and P. Mihalic, Viscoelastic constitutive relations for the steady spinning of a cylinder, Report, 1998.

E. Guth, Theory of Filler Reinforcement, Journal of Applied Physics, vol.16, issue.1, pp.20-35, 1945.
DOI : 10.1063/1.1707495

B. Halphen and Q. Nguyen, Sur les matriaux standards generaliss, Journal de Mcanique, vol.14, pp.39-63, 1975.

A. Hanyga, Physically Acceptable Viscoelastic Models, Trends in Applications of Mathematics to Mechanics

C. Ho and P. Romero, Alternative Function to Represent Relaxation Modulus of Viscoelastic Materials, Journal of Materials in Civil Engineering, vol.24, issue.2, pp.152-158, 2012.
DOI : 10.1061/(ASCE)MT.1943-5533.0000378

P. Hofer and A. Lion, Modelling of frequency- and amplitude-dependent material properties of filler-reinforced rubber, Journal of the Mechanics and Physics of Solids, vol.57, issue.3, pp.500-520, 2009.
DOI : 10.1016/j.jmps.2008.11.004

G. A. Holzapfel, Nonlinear Solid Mechanics, a Continuum Approach for Engineering, 2006.

T. Hsia, S. Smith, and B. Lantz, Computerized tomography using a modified orthogonal tangent correction algorithm, Computer Programs in Biomedicine, vol.6, issue.3, pp.136-141, 1976.
DOI : 10.1016/0010-468X(76)90019-2

N. Huber and C. Tskmakis, Discussion of Finite Deformation Viscoelasticity Laws with Reference to Torsion Loading, Continuum Mechanics and Thermodynamics, vol.12, issue.5, pp.303-323, 2000.
DOI : 10.1007/s001610050139

D. Jalocha, A. Constantinescu, and R. Neviere, Revisiting the identification of generalized Maxwell models from experimental results, International Journal of Solids and Structures, vol.67, issue.68, pp.169-181, 2015.
DOI : 10.1016/j.ijsolstr.2015.04.018
URL : https://hal.archives-ouvertes.fr/hal-01219740

M. Johlitz and S. Diebels, Characterisation of a polymer using biaxial tension tests. Part I: Hyperelasticity, Archive of Applied Mechanics, vol.35, issue.3, pp.1333-1349, 2011.
DOI : 10.1007/s00419-010-0480-1

W. Knauss, H. Emri, and . Lu, Handbook of Experimental Solid Mechanics. Spinger, 2006.

G. Kraus, Mechanical losses in carbon black filled rubbers, Journal of Applied Polymer Science: Applied Polymer Symposium, vol.39, pp.75-92, 1984.

D. Kurtz, J. Kurweil, and C. Swartz, Theory of Integration, 2004.

A. Lakes, Viscoelastic Materials, 2009.
DOI : 10.1017/CBO9780511626722

A. Launay, Y. Maitournam, I. Marco, F. Raoult, and . Szmytka, Cyclic behaviour of short glass fibre reinforced polyamide: Experimental study and constitutive equations, International Journal of Plasticity, vol.27, issue.8, pp.1267-1293, 2011.
DOI : 10.1016/j.ijplas.2011.02.005

A. Launay, M. Maitournam, Y. Marco, and I. Raoult, Multiaxial fatigue models for short glass fiber reinforced polyamide ??? Part I: Nonlinear anisotropic constitutive behavior for cyclic response, International Journal of Fatigue, vol.47, pp.382-389, 2013.
DOI : 10.1016/j.ijfatigue.2012.03.012
URL : https://hal.archives-ouvertes.fr/hal-00778277

M. Lavrent, Some Ill-Posed Problems of Mathematics Physics, 1967.

A. Lectez, E. Verron, B. Huneau, A. Beranger, and F. L. Brazidec, Characterization of elastomers under simultaneous tension and torsion for application to engine mounts, European Conference on Constitutive Models for Rubbers, pp.585-590, 2013.
DOI : 10.1201/b14964-106
URL : https://hal.archives-ouvertes.fr/hal-01092957

A. Lectez, E. Verron, and B. Huneau, How to identify a hyperelastic constitutive equation for rubber-like materials with multiaxial tension???torsion experiments, International Journal of Non-Linear Mechanics, vol.65, pp.260-270, 2014.
DOI : 10.1016/j.ijnonlinmec.2014.06.007
URL : https://hal.archives-ouvertes.fr/hal-01094408

J. Lee and C. Hsu, Thermal properties and shelf life of HMX???HTPB based plastic-bonded explosives, Thermochimica Acta, vol.392, issue.393, pp.153-156, 2002.
DOI : 10.1016/S0040-6031(02)00095-3

V. Lefevre, K. R. Chandar, and O. Lopez-pamies, Cavitation in rubber: an elastic instability or a fracture phenomenon? Interntational Journal of Fracture, 2014.

P. Letallec, Modelisation et Calcul des Milieux Continus. Edition de l'Ecole Polytechnique, 2012.

P. Letallec and C. Rahier, Numerical models of steady rolling for non-linear viscoelastic structures in finite deformations, International Journal for Numerical Methods in Engineering, vol.109, issue.7, pp.1159-1186, 1994.
DOI : 10.1002/nme.1620370705

P. Letallec, C. Rahier, and A. Kaiss, Three dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation, Computer Methods in Applied Mechanics and Engineering, vol.109, pp.223-258, 1993.

A. Lion, A physically based method to represent the thermo-mechanical behaviour of elastomers, Acta Mechanica, vol.75, issue.7, pp.1-25, 1997.
DOI : 10.1007/BF01178397

A. Lion, Thixotropic behaviour of rubber under dynamic loading histories: Experiments and theory, Journal of the Mechanics and Physics of Solids, vol.46, issue.5, pp.895-930, 1998.
DOI : 10.1016/S0022-5096(97)00097-5

A. Lion, Strain-Dependent Dynamic Properties of Filled Rubber: A Non-Linear Viscoelastic Approach Based on Structural Variables, Rubber Chemistry and Technology, vol.72, issue.2, pp.410-429, 1999.
DOI : 10.5254/1.3538811

A. Lion, On finite linear viscoelasticity of incompressible isotropic materials, Acta Machanica, vol.159, pp.87-124, 2002.

A. Lion and C. Kardelky, The Payne effect in finite viscoelasticity, International Journal of Plasticity, vol.20, issue.7, pp.1313-1345, 2004.
DOI : 10.1016/j.ijplas.2003.07.001

A. Lion, J. Retka, and M. Rendek, On the calculation of predeformation-dependent dynamic modulus tensors in finite nonlinear viscoelasticity, Mechanics Research Communications, vol.36, issue.6, pp.500-520, 2009.
DOI : 10.1016/j.mechrescom.2009.02.005

V. Litvinov and P. Steeman, H NMR, Macromolecules, vol.32, issue.25, pp.8476-8490, 1999.
DOI : 10.1021/ma9910080

O. Lopez-pamies, A new i1 based hyperelastic model for rubber elastic materials

O. Lopez-pamies, M. Idiart, and T. Nakamura, Cavitation in elastomeric solids: I???A defect-growth theory, Journal of the Mechanics and Physics of Solids, vol.59, issue.8, pp.1464-1487, 2011.
DOI : 10.1016/j.jmps.2011.04.015

O. Lopez-pamies, T. Nakamura, and M. Idiart, Cavitation in elastomeric solids: II???Onset-of-cavitation surfaces for Neo-Hookean materials, Journal of the Mechanics and Physics of Solids, vol.59, issue.8, pp.1488-1505, 2011.
DOI : 10.1016/j.jmps.2011.04.016

O. Lopez-pamies, T. Goudarzi, and K. Danas, The nonlinear elastic response of suspensions of rigid inclusions in rubber: II???A simple explicit approximation for finite-concentration suspensions, Journal of the Mechanics and Physics of Solids, vol.61, issue.1, pp.19-37, 2013.
DOI : 10.1016/j.jmps.2012.08.013
URL : https://hal.archives-ouvertes.fr/hal-00870885

J. Luk-cyr, T. Crochon, and C. Li, Interconversion of linearly viscoelastic material functions expressed as Prony series: a closure, Mechanics of TimeDependent Materials, pp.53-82, 2013.
DOI : 10.1007/s11043-012-9176-y

A. Malkin, The use of a continuous relaxation spectrum for describing the viscoelastic properties of polymers, Polymer Science Series A, vol.48, issue.1, pp.39-45, 2006.
DOI : 10.1134/S0965545X06010068

Y. Marco, L. Chevalier, and M. Chaouche, WAXD study of induced crystallization and orientation in poly(ethylene terephthalate) during biaxial elongation, Polymer, vol.43, issue.24, pp.6569-6574, 2002.
DOI : 10.1016/S0032-3861(02)00488-3

A. Markovitz and J. Hershel, Boltzmann and the Beginnings of Linear Viscoelasticity, Transactions of the Society of Rheology, vol.21, issue.3, pp.381-398, 1977.
DOI : 10.1122/1.549444

N. Merlette and E. Pagnacco, Structural dynamics of solid propellant with frequency dependant properties, European Conference on Space Structures, pp.20-26, 2012.

J. Michel, O. Lopez-pamies, P. P. Castaneda, and N. Triantafyllidis, Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers, Journal of the Mechanics and Physics of Solids, vol.58, issue.11, pp.1776-1803, 2010.
DOI : 10.1016/j.jmps.2010.08.006
URL : https://hal.archives-ouvertes.fr/hal-00542895

K. Morman, Finite element analysis of sinusoidal small-amplitude vibrations in deformed viscoelastic solids. Part I: Theoretical development, International Journal for Numerical Methods in Engineering, vol.35, issue.7, pp.1079-1103, 1983.
DOI : 10.1002/nme.1620190712

D. Mowery, R. Assink, and M. Celina, Sensitivity of proton NMR relaxation times in a HTPB based polyurethane elastomer to thermo-oxidative aging, Polymer, vol.46, issue.24, pp.10919-10924, 2005.
DOI : 10.1016/j.polymer.2005.08.093

L. Mullins, Softening of Rubber by Deformation, Rubber Chemistry and Technology, vol.42, issue.1, pp.339-345, 1969.
DOI : 10.5254/1.3539210

T. Nakamura and O. Lopez-pamies, A finite element approach to study cavitation instabilities in non-linear elastic solids under general loading conditions, International Journal of Non-Linear Mechanics, vol.47, issue.2, pp.331-340, 2012.
DOI : 10.1016/j.ijnonlinmec.2011.07.007

A. Natali, E. Carniel, P. Pavan, F. Sander, C. Dorow et al., A Visco-Hyperelastic-Damage Constitutive Model for the Analysis of the Biomechanical Response of the Periodontal Ligament, Journal of Biomechanical Engineering, vol.130, issue.3, pp.144-152, 2008.
DOI : 10.1115/1.2900415

R. Neviere, An extension of the time???temperature superposition principle to non-linear viscoelastic solids, International Journal of Solids and Structures, vol.43, issue.17, pp.5295-5303, 2006.
DOI : 10.1016/j.ijsolstr.2005.09.009

S. Nguyen, S. Castagnet, and J. Grandidier, Nonlinear viscoelastic contribution to the cyclic accommodation of high density polyethylene in tension: Experiments and modeling, International Journal of Fatigue, vol.55, pp.166-177, 2013.
DOI : 10.1016/j.ijfatigue.2013.06.013

B. Nicholas, The Phenomenological Theory of Linear Viscoelastic Behavior: An Introduction . Hardcover, 1989.

R. Ogden, Nonlinear Elastic Deformations, Journal of Applied Mechanics, vol.52, issue.3, 1997.
DOI : 10.1115/1.3169137
URL : https://hal.archives-ouvertes.fr/hal-01303324

R. Ogden and D. Roxburgh, A pseudo-elastic model for the Mullins effect in filled rubber, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.455, issue.1988, pp.2861-2877, 1999.
DOI : 10.1098/rspa.1999.0431

S. Ozupek, Constitutive Modeling of Hight Elongation Solid Propellants, 1989.

S. Ozupek and E. 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

A. Payne, The dynamic properties of carbon black-loaded natural rubber vulcanizates. part i, Journal of Applied Polymer Science, vol.6, pp.53-57, 1962.

J. Petiteau, E. Verron, R. Othman, H. Le-sourne, J. Sigrist et al., Large strain rate-dependent response of elastomers at different strain rates: convolution integral vs. internal variable formulations, Mechanic of Time Dependent Material, pp.349-367, 2013.
DOI : 10.1007/s11043-012-9188-7
URL : https://hal.archives-ouvertes.fr/hal-01007008

H. Press, A. Teukolsky, T. Vetterling, and P. Flannery, Numerical recipes, The art of Scientific Computing

S. Reese and S. Govindjee, A theory of finite viscoelasticity and numerical aspects, International Journal of Solids and Structures, vol.35, issue.26-27, pp.3455-3482, 1998.
DOI : 10.1016/S0020-7683(97)00217-5

M. Rendek and A. Lion, Amplitude dependence of filler-reinforced rubber: Experiments, constitutive modelling and FEM ??? Implementation, International Journal of Solids and Structures, vol.47, issue.21, pp.2918-2936, 2010.
DOI : 10.1016/j.ijsolstr.2010.06.021

C. Roland, UNCONVENTIONAL RUBBER NETWORKS: CIRCUMVENTING THE COMPROMISE BETWEEN STIFFNESS AND STRENGTH, Rubber Chemistry and Technology, vol.86, issue.3, pp.351-366, 2013.
DOI : 10.5254/rct.13.86988

T. , N. Van, S. Lejeunes, ,. A. Boukamel, and D. Eyheramendy, Linearized behavior of a dissipative rubber with large static preloads, Computers and Structures, vol.96, pp.46-53, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00676317

J. Salenon and . Viscolasticit, Collection: Cours de calcul des structures anlastiques, 1983.

J. Schiff, The Laplace Transform, 1999.
DOI : 10.1007/978-0-387-22757-3

V. Shtrauss, Determination of the relaxation and retardation spectra ??? a view from the up-to-date signal processing perspective, Mechanics of Composite Materials, pp.27-46, 2012.
DOI : 10.1007/s11029-012-9249-7

E. Sideridis and G. Papadopoulos, Short-beam and three-point-bending tests for the study of shear and flexural properties in unidirectional-fiber-reinforced epoxy composites, Journal of Applied Polymer Science, vol.674, issue.1, pp.63-74, 2004.
DOI : 10.1002/app.20382

M. Simhambhatla and A. Leonov, On the rheological modeling of filled polymers with particle-matrix interactions, Rheologica Acta, vol.65, issue.4, pp.329-338, 1995.
DOI : 10.1007/BF00367150

J. 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

H. Smallwood, Limiting Law of the Reinforcement of Rubber, Journal of Applied Physics, vol.15, issue.11, pp.758-768, 1944.
DOI : 10.1063/1.1707385

T. Smith, Empirical equations for representing viscoelastic functions and for deriving spectra, Journal of Polymer Science Part C: Polymer Symposia, vol.II, issue.1, pp.39-50, 1971.
DOI : 10.1002/polc.5070350105

A. Smits, D. Vzn-hemelrijck, T. Philippidis, and A. Cardon, Design of a cruciform specimen for biaxial testing of fibre reinforced composite laminates, Composites Science and Technology, vol.66, issue.7-8, pp.964-975, 2006.
DOI : 10.1016/j.compscitech.2005.08.011

F. Stadler, Effect of incomplete datasets on the calculation of continuous relaxation spectra from dynamic-mechanical data, Rheologica Acta, vol.34, issue.18, pp.1041-1057, 2010.
DOI : 10.1007/s00397-010-0479-0

F. Stadler and C. Bailly, A new method for the calculation of continuous relaxation spectra from dynamic-mechanical data, Rheologica Acta, vol.40, issue.16, pp.33-49, 2009.
DOI : 10.1007/s00397-008-0303-2

M. Summerfield, Solid Propellant Rocket Research, 1960.
DOI : 10.2514/4.864766

S. Swanson and L. Christensent, 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

J. Teixeira-pinto, S. Castagnet, C. Nadot-martin, and F. Touchard, Numerical study of cyclic accommodation at the lamellar scale of a viscoelastic semi-crystalline polymer, International Journal of Fatigue, vol.54, pp.133-142, 2013.
DOI : 10.1016/j.ijfatigue.2013.03.012

A. Thorin, A. Azoug, and A. Constantinescu, Influence of prestrain on mechanical properties of highly-filled elastomers: Measurements and modeling, Polymer Testing, vol.31, issue.8, pp.978-986, 2013.
DOI : 10.1016/j.polymertesting.2012.07.014
URL : https://hal.archives-ouvertes.fr/hal-00723704

N. Tschoegl and I. Emri, Generating Line Spectra from Experimental Responses. III. Interconversion between Relaxation and Retardation Behavior, International Journal of Polymeric Materials, vol.18, issue.1-2, pp.117-127, 1992.
DOI : 10.1080/00914039208034818

J. D. Ulmer, Strain Dependence of Dynamic Mechanical Properties of Carbon Black-Filled Rubber Compounds, Rubber Chemistry and Technology, vol.69, issue.1, pp.15-47, 1995.
DOI : 10.5254/1.3538354

I. Ward and J. Sweeney, An Introduction of the Mechanical Porperties os Solid Polymers, 2000.

J. White and J. Crowder, The influence of carbon black on the extrusion characteristics and rheological properties of elastomers: Polybutadiene and butadiene???styrene copolymer, Journal of Applied Polymer Science, vol.18, issue.4, pp.1013-1038, 1974.
DOI : 10.1002/app.1974.070180405

D. Widder, What is the Laplace Transform?, The American Mathematical Monthly, vol.52, issue.8, 1946.
DOI : 10.2307/2305640

F. Williams, M. Barrere, and N. Huang, Fundamental Aspects of Solid Propellant Rockets, 1969.

M. Williams, R. Landel, and J. Ferry, The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-forming Liquids, Journal of the American Chemical Society, vol.77, issue.14, pp.3701-3707, 1955.
DOI : 10.1021/ja01619a008

D. Wollscheid, Predeformation and frequency dependence of filler reinforced rubber under vibration, 2014.

D. Wollscheid and A. Lion, Predeformation- and frequency-dependent material behaviour of filler-reinforced rubber: Experiments, constitutive modelling and parameter identification, International Journal of Solids and Structures, vol.50, issue.9, pp.1217-1225, 2013.
DOI : 10.1016/j.ijsolstr.2012.12.015

J. Zhao, W. Knauss, and G. Ravichandran, Applicability of the time???temperature superposition principle in modeling dynamic response of a polyurea, Mechanics of Time-Dependent Materials, vol.77, issue.3-4, pp.289-308, 2007.
DOI : 10.1007/s11043-008-9048-7

I. Zidane, C. Zhang, D. Guines, L. Lotoing, and E. Ragneau, Optimisation of biaxial tensil specimen shape from numerical investigations, Numisheet, vol.32, pp.322-336, 2008.

B. Zimm and O. Lumpkin, Reptation of a polymer chain in an irregular matrix: diffusion and electrophoresis, Macromolecules, vol.26, issue.1, pp.226-234, 1993.
DOI : 10.1021/ma00053a035