J. Biarez and P. Y. Hicher, Elementary mechanics of soil behaviour, p.208, 1994.

A. Carrera, M. Coop, and R. Lancellotta, Influence of grading on the mechanical behaviour of Stava tailings, G??otechnique, vol.61, issue.11, pp.935-946, 2011.
DOI : 10.1680/geot.9.P.009

C. S. Chang and P. Hicher, An elasto-plastic model for granular materials with microstructural consideration, International Journal of Solids and Structures, vol.42, issue.14, pp.4258-4277, 2004.
DOI : 10.1016/j.ijsolstr.2004.09.021

URL : http://doi.org/10.1016/j.ijsolstr.2004.09.021

C. S. Chang, S. S. Sundaram, and A. Misra, Initial moduli of particulate mass with frictional contacts, Int. J. Numer. Anal. Methods Geomech, vol.13, issue.6, pp.626-641, 1989.

C. S. Chang, P. Hicher, and A. Daouadji, Investigating instability in granular materials by means of a microstructural model, European Journal of Environmental and Civil Engineering, vol.23, issue.2, pp.167-186, 2009.
DOI : 10.1139/t93-049

URL : https://hal.archives-ouvertes.fr/hal-01006997

J. Christofferson, M. M. Mehrabadi, and S. Nemat-nassar, A Micromechanical Description of Granular Material Behavior, Journal of Applied Mechanics, vol.48, issue.2, 1981.
DOI : 10.1115/1.3157619

A. Daouadji and P. Y. Hicher, An enhanced constitutive model for crushable granular materials, International Journal for Numerical and Analytical Methods in Geomechanics, vol.42, issue.2, pp.555-580, 2010.
DOI : 10.1002/nag.815

A. Daouadji, A. Gali, H. Darve, F. Zeghloul, and A. , Instability in Granular Materials: Experimental Evidence of Diffuse Mode of Failure for Loose Sands, Journal of Engineering Mechanics, vol.136, issue.5, pp.575-588, 2010.
DOI : 10.1061/(ASCE)EM.1943-7889.0000101

A. Daouadji, F. Darve, A. Gali, H. Hicher, P. Y. Laouafa et al., Diffuse failure in geomaterials: Experiments, theory and modelling, International Journal for Numerical and Analytical Methods in Geomechanics, vol.33, issue.2, pp.1731-1773, 2011.
DOI : 10.1002/nag.975

URL : https://hal.archives-ouvertes.fr/ineris-00963272

F. Darve and X. Roguiez, Homogeneous bifurcation in soils, Proc. 4th Int. Workshop on Localization and Bifurcation Theory for Soils and Rocks, pp.43-50, 1998.

F. Darve, G. Servant, F. Laouafa, and H. D. Khoa, Failure in geomaterials: continuous and discrete analyses, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.27-29, pp.27-29, 2004.
DOI : 10.1016/j.cma.2003.11.011

URL : https://hal.archives-ouvertes.fr/ineris-00969865

F. Darve, L. Sibille, A. Daouadji, and F. Nicot, Bifurcations in granular media: macro- and micro-mechanics approaches, Comptes Rendus M??canique, vol.335, issue.9-10, pp.496-515, 2007.
DOI : 10.1016/j.crme.2007.08.005

P. Y. Hicher, Experimental Behaviour of Granular Materials, Behaviour of granular materials, pp.1-97, 1998.
DOI : 10.1007/978-3-7091-2526-7_1

P. Hicher and C. S. Chang, Anisotropic Nonlinear Elastic Model for Particulate Materials, Journal of Geotechnical and Geoenvironmental Engineering, vol.132, issue.8, pp.1052-1061, 2007.
DOI : 10.1061/(ASCE)1090-0241(2006)132:8(1052)

R. Hill, A general theory of uniqueness and stability in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.6, issue.3, pp.236-249, 1958.
DOI : 10.1016/0022-5096(58)90029-2

F. Laouafa and F. Darve, Modelling of slope failure by a material instability mechanism, Computers and Geotechnics, vol.29, issue.4, pp.301-325, 2002.
DOI : 10.1016/S0266-352X(01)00030-1

R. D. Mindlin and H. Deresiewicz, Elastic Spheres in Contact Under Varying Oblique Forces, ASME Trans. J. Appl. Mech, vol.20, pp.327-344, 1953.
DOI : 10.1007/978-1-4613-8865-4_35

M. Mokni and J. Desrues, Strain localization measurements in undrained plane-strain biaxial tests on Hostun RF sand, Mechanics of Cohesive-frictional Materials, vol.15, issue.4, pp.419-441, 1999.
DOI : 10.1002/(SICI)1099-1484(199907)4:4<419::AID-CFM70>3.0.CO;2-1

F. Nicot, A. Daouadji, F. Laouafa, and F. Darve, Second-order work, kinetic energy and diffuse failure in granular materials, Granular Matter, vol.127, issue.8, pp.19-28, 2011.
DOI : 10.1007/s10035-010-0219-2

URL : https://hal.archives-ouvertes.fr/ineris-00963270

R. Nova, Controllability of the incremental response of soil specimens subjected to arbitrary loading programs, J. Mech. Behav. Mater, vol.5, issue.2, pp.193-201, 1994.

J. W. Rudnicki and J. Rice, Conditions for the localization of deformation in pressure-sensitive dilatant materials, Journal of the Mechanics and Physics of Solids, vol.23, issue.6, pp.371-394, 1975.
DOI : 10.1016/0022-5096(75)90001-0

L. Rothenburg and A. P. Selvadurai, Micromechanical definitions of the Cauchy stress tensor for particular media, Mechanics of structured media, pp.469-486, 1981.

S. Sivathayalan and P. Logeswaran, Behaviour of sands under generalized drainage boundary conditions, Canadian Geotechnical Journal, vol.44, issue.2, pp.138-150, 2007.
DOI : 10.1139/t06-110

A. N. Schofield and C. P. Wroth, Critical state soil mechanics, 1968.