S. G. Bardenhagen, A. D. Brydon, and J. E. Guilkey, Insight into the physics of foam densification via numerical simulation, Journal of the Mechanics and Physics of Solids, vol.53, issue.3, pp.597-617, 2005.
DOI : 10.1016/j.jmps.2004.09.003

M. F. Beatty and S. Krishnaswamy, A theory of stress-softening in incompressible isotropic materials, Journal of the Mechanics and Physics of Solids, vol.48, issue.9, 1931.
DOI : 10.1016/S0022-5096(99)00085-X

A. Dorfmann and R. W. Ogden, A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber, International Journal of Solids and Structures, vol.40, issue.11, pp.2699-2714, 2003.
DOI : 10.1016/S0020-7683(03)00089-1

L. J. Gibson and M. F. Ashby, Cellular Solids: Structure and Properties, 1997.
DOI : 10.1017/CBO9781139878326

L. Gong and S. Kyriakides, On the Crushing Stress of Open Cell Foams, Journal of Applied Mechanics, vol.73, issue.5, pp.807-814, 2007.
DOI : 10.1115/1.2047608

R. Gorenflo and F. Mainardi, Fractional calculus: integral and differential equations of fractional order

N. Heymans and J. C. Bauwens, Fractal rheological models and fractional differential equations for viscoelastic behavior, Rheologica Acta, vol.27, issue.3, pp.210-219, 1994.
DOI : 10.1007/BF00437306

R. C. Koeller, Applications of Fractional Calculus to the Theory of Viscoelasticity, Journal of Applied Mechanics, vol.51, issue.2, pp.299-307, 1984.
DOI : 10.1115/1.3167616

R. Lakes, P. Rosakis, and A. Ruina, Microbuckling instability in elastomeric cellular solids, Journal of Materials Science, vol.51, issue.17, pp.4667-4672, 1993.
DOI : 10.1007/BF00414256

A. Lion, On the thermodynamics of fractional damping elements, Continuum Mechanics and Thermodynamics, vol.9, issue.2, pp.83-96, 1997.
DOI : 10.1007/s001610050057

C. Miehe and J. Keck, Superimposed finite elastic???viscoelastic???plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation, Journal of the Mechanics and Physics of Solids, vol.48, issue.2, pp.323-365, 2000.
DOI : 10.1016/S0022-5096(99)00017-4

L. Mullins, Softening of Rubber by Deformation, Rubber Chemistry and Technology, vol.42, issue.1, pp.339-362, 1969.
DOI : 10.5254/1.3539210

L. Mullins and N. R. Tobin, Theoretical Model for the Elastic Behavior of Filler-Reinforced Vulcanized Rubbers, Rubber Chemistry and Technology, vol.30, issue.2, pp.555-571, 1957.
DOI : 10.5254/1.3542705

G. Pampolini and G. D. Piero, Strain localization in open-cell polyurethane foams: Experiments and theoretical model, Journal of Mechanics of Materials and Structures, vol.3, issue.5, pp.969-981, 2008.
DOI : 10.2140/jomms.2008.3.969
URL : https://hal.archives-ouvertes.fr/hal-00462199

G. Puglisi and L. Truskinovsky, Mechanics of a discrete chain with bi-stable elements, Journal of the Mechanics and Physics of Solids, vol.48, issue.1, pp.1-27, 2000.
DOI : 10.1016/S0022-5096(99)00006-X

Y. Wang and A. M. Cuitinho, 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.3777-3796, 2002.
DOI : 10.1016/S0020-7683(02)00176-2