J. Lysmer, Limit analysis of plane problems in soil mechanics, Journal of the Soil Mechanics and Foundations, vol.96, pp.1311-1334, 1970.

J. Pastor and S. Turgeman, Mise en oeuvre numerique des methodes de l'analyse limite pour les materiaux de von mises et de Coulomb standards en deformation plane, Mechanics Research Communications, vol.3, issue.6, pp.469-474, 1976.
DOI : 10.1016/0093-6413(76)90038-0

S. W. Sloan, Lower bound limit analysis using finite elements and linear programming, International Journal for Numerical and Analytical Methods in Geomechanics, vol.18, issue.1, pp.61-77, 1988.
DOI : 10.1002/nag.1610120105

R. Abdi, P. De-buhan, and J. Pastor, Calculation of the critical height of a homogenized reinforced soil wall: A numerical approach, International Journal for Numerical and Analytical Methods in Geomechanics, vol.41, issue.7, pp.485-505, 1994.
DOI : 10.1002/nag.1610180704

N. Zouain, J. Herskovits, L. A. Borges, and R. A. Feijóo, An iterative algorithm for limit analysis with nonlinear yield functions, International Journal of Solids and Structures, vol.30, issue.10, pp.1397-1417, 1993.
DOI : 10.1016/0020-7683(93)90220-2

A. V. Lyamin and S. W. Sloan, Lower bound limit analysis using non-linear programming, International Journal for Numerical Methods in Engineering, vol.1909, issue.5, pp.573-611, 2002.
DOI : 10.1002/nme.511

URL : http://ogma.newcastle.edu.au:8080/vital/access/manager/Repository/uon:2907/ATTACHMENT01

K. Krabbenhøft and L. Damkilde, A general non-linear optimization algorithm for lower bound limit analysis, International Journal for Numerical Methods in Engineering, vol.14, issue.2, pp.165-184, 2003.
DOI : 10.1002/nme.551

M. Trillat and J. Pastor, Limit analysis and Gurson's model, European Journal of Mechanics - A/Solids, vol.24, issue.5, pp.800-819, 2005.
DOI : 10.1016/j.euromechsol.2005.06.003

A. Makrodimopoulos and C. M. Martin, Lower bound limit analysis of cohesive-frictional materials using second-order cone programming, International Journal for Numerical Methods in Engineering, vol.42, issue.12, pp.604-634, 2006.
DOI : 10.1002/nme.1567

A. Makrodimopoulos and C. M. Martin, Upper bound limit analysis using simplex strain elements and second-order cone programming, International Journal for Numerical and Analytical Methods in Geomechanics, vol.63, issue.6, pp.835-865, 2007.
DOI : 10.1002/nag.567

K. Krabbenhøft, A. V. Lyamin, and S. W. Sloan, Formulation and solution of some plasticity problems as conic programs, International Journal of Solids and Structures, vol.44, issue.5, pp.1533-1549, 2007.
DOI : 10.1016/j.ijsolstr.2006.06.036

F. Pastor, D. Kondo, and J. Pastor, Numerical limit analysis bounds for ductile porous media with oblate voids, Mechanics Research Communications, vol.38, issue.5, pp.350-354, 2011.
DOI : 10.1016/j.mechrescom.2011.02.001

URL : https://hal.archives-ouvertes.fr/hal-00607929

G. Garcea and L. Leonetti, A unified mathematical programming formulation of strain driven and interior point algorithms for shakedown and limit analysis, International Journal for Numerical Methods in Engineering, vol.28, issue.4, pp.1085-1111, 2011.
DOI : 10.1002/nme.3188

J. J. Muñoz, A. Huerta, J. Bonet, and J. Peraire, A note on upper bound formulations in limit analysis, International Journal for Numerical Methods in Engineering, vol.95, issue.12, pp.896-908, 2012.
DOI : 10.1002/nme.4303

K. Krabbenhøft, A. V. Lyamin, and S. W. Sloan, Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming, Communications in Numerical Methods in Engineering, vol.11, issue.10, pp.1107-1119, 2008.
DOI : 10.1002/cnm.1018

C. M. Martin and A. , Finite-Element Limit Analysis of Mohr???Coulomb Materials in 3D Using Semidefinite Programming, 3D Using Semidefinite Programming, pp.339-347, 2008.
DOI : 10.1061/(ASCE)0733-9399(2008)134:4(339)

P. Suquet, Elements of homogenization for inelastic solid mechanics, Homogenization Techniques for Composite Media, pp.193-278, 1987.

P. De-buhan, A fundamental approach to the yield design of reinforced soil structures, Thèse d'Etat, 1986.

B. Jellali, M. Bouassida, and P. De-buhan, A homogenization method for estimating the bearing capacity of soils reinforced by columns, International Journal for Numerical and Analytical Methods in Geomechanics, vol.36, issue.10, pp.989-1004, 2005.
DOI : 10.1002/nag.441

M. Abdelkrim and P. De-buhan, An elastoplastic homogenization procedure for predicting the settlement of a foundation on a soil reinforced by columns, European Journal of Mechanics - A/Solids, vol.26, issue.4, pp.736-757, 2007.
DOI : 10.1016/j.euromechsol.2006.12.004

URL : https://hal.archives-ouvertes.fr/hal-00348468

A. Taliercio, Generalized plane strain finite element model for the analysis of elastoplastic composites, International Journal of Solids and Structures, vol.42, issue.8, pp.2361-2379, 2005.
DOI : 10.1016/j.ijsolstr.2004.09.030

G. Hassen, M. Gueguin, and P. De-buhan, A homogenization approach for assessing the yield strength properties of stone column reinforced soils, European Journal of Mechanics - A/Solids, vol.37, pp.266-280, 2013.
DOI : 10.1016/j.euromechsol.2012.07.003

URL : https://hal.archives-ouvertes.fr/hal-00833484

P. Francescato and J. Pastor, Lower and upper numerical bounds to the offaxis strength of unidirectional fiber-reinforced composites by limit analysis methods, European Journal of Mechanics?A/Solids, vol.16, issue.2, pp.213-234, 1997.

P. De-buhan and A. Taliercio, A homogenization approach to the yield strength of composite materials, European Journal of Mechanics?A/Solids, vol.10, issue.2, pp.129-154, 1991.

C. D. Bisbos and P. M. Pardalos, Second-Order Cone and Semidefinite Representations of Material Failure Criteria, Journal of Optimization Theory and Applications, vol.19, issue.2, pp.275-301, 2007.
DOI : 10.1007/s10957-007-9243-8

C. D. Bisbos, Semidefinite optimization models for limit and shakedown analysis problems involving matrix spreads, Optimization Letters, vol.8, issue.1, pp.101-109, 2007.
DOI : 10.1007/s11590-006-0006-5

J. Salençon, Calcuì a la rupture et analyse limite, 1983.

A. P. Mosek, The MOSEK optimization software, 2010.

A. H. Cheng, On generalized plane strain poroelasticity, International Journal of Rock Mechanics and Mining Sciences, vol.35, issue.2, pp.183-193, 1998.
DOI : 10.1016/S0148-9062(97)00327-6

I. Ahmadi and M. M. Aghdam, A generalized plane strain meshless local Petrov???Galerkin method for the micromechanics of thermomechanical loading of composites, Journal of Mechanics of Materials and Structures, vol.5, issue.4, pp.549-566, 2010.
DOI : 10.2140/jomms.2010.5.549

S. Maghous, A numerical approach to the yield strength properties of periodic heterogeneous materials, ENPC, 1991.