K. Adalier, A. Elgamal, J. Meneses, and J. I. Baez, Stone columns as liquefaction coutermeasure in non plastic silty soils. Soil Dyn, Earthquake Eng, vol.23, pp.571-584, 2003.

A. S. Al-homoud and W. S. Degen, Marine Stone Columns to Prevent Earthquake Induced Soil Liquefaction, Geotechnical and Geological Engineering, vol.1, issue.3, pp.775-790, 2006.
DOI : 10.1007/s10706-005-2783-5

J. I. Baez and G. Martin, Advances in the design of vibro systems for the improvement of liquefaction resistance, Proc. Symp. Ground Improvement, pp.1-16, 1993.

N. P. Balaam and J. R. Booker, Analysis of rigid rafts supported by granular piles, International Journal for Numerical and Analytical Methods in Geomechanics, vol.2, issue.4, 1981.
DOI : 10.1002/nag.1610050405

A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, 1978.

G. Canetta and R. Nova, A numerical method for the analysis of ground improved by columnar inclusions, Computers and Geotechnics, vol.7, issue.1-2, pp.99-114, 1989.
DOI : 10.1016/0266-352X(89)90009-8

G. Duvaut, Analyse fonctionnelle en mécanique des milieux continus, Th. and, 1976.

Z. Hashin, Analysis of Composite Materials???A Survey, Journal of Applied Mechanics, vol.50, issue.3, pp.481-505, 1983.
DOI : 10.1115/1.3167081

Z. Hashin and B. W. Rosen, The Elastic Moduli of Fiber-Reinforced Materials, Journal of Applied Mechanics, vol.31, issue.2, 1964.
DOI : 10.1115/1.3629590

G. Hassen and P. De-buhan, A two-phase model and related numerical tool for the design of soil structures reinforced by stiff linear inclusions, European Journal of Mechanics - A/Solids, vol.24, issue.6, pp.987-1001, 2005.
DOI : 10.1016/j.euromechsol.2005.06.009

G. Hassen, M. Abdelkrim, and P. De-buhan, Finite element implementation of a homogenized constitutive law for stone column-reinforced foundation soils, with application to the design of structures, Computers and Geotechnics, vol.37, issue.1-2, pp.40-49, 2010.
DOI : 10.1016/j.compgeo.2009.07.002

URL : https://hal.archives-ouvertes.fr/hal-00540343

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.1-16, 2005.
DOI : 10.1002/nag.441

B. Jellali, M. Bouassida, and P. De-buhan, Stability analysis of an embankment resting upon a column-reinforced soil, International Journal for Numerical and Analytical Methods in Geomechanics, vol.9, issue.5, pp.1243-1256, 2011.
DOI : 10.1002/nag.954

J. S. Lee and G. N. Pande, Analysis of stone-column reinforced foundations, Int. J, 1998.

E. Sanchez-palencia, Non homogeneous media and vibration theory, Lectures Notes in Physics, vol.127, 1980.

B. Sudret and P. De-buhan, Multiphase model for inclusion-reinforced geostructures: Application to rock-bolted tunnels and piled raft foundations, International Journal for Numerical and Analytical Methods in Geomechanics, vol.2, issue.2, 2001.
DOI : 10.1002/nag.123

P. Suquet, Elements of homogenization for inelastic solid mechanics Homogenization Techniques for Composite Media, In: CISM Lecture Notes, vol.272, pp.193-278, 1985.