Comptes Rendus
no. 3
Macroscopic yield strength of reinforced soils: From homogenization theory to a multiphase approach
Patrick de Buhan1  ; Ghazi Hassen1
1 Université Paris Est, UR Navier, Ecole des Ponts ParisTech, 6 et 8 av. B. Pascal, 77455 Marne-la-Vallée, France
Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 132-138.

This contribution presents a multiphase approach for ascertaining the macroscopic yield strength properties of soils reinforced by linear inclusions, conceived as an extended or improved homogenization procedure allowing one to capture scale and boundary effects, which may play an important role in the yield design of actual structures. The decisive element of such an extension is the introduction of a parameter characterizing the strength of the interaction between two continuous media (“phases”) representing the soil and the reinforcing inclusions, respectively. A preliminary analysis suggests that such a parameter varies in direct proportion to the inverse of a scale factor.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2010.03.004
Mots clés : Solids and structures, Reinforced soils, Linear inclusions, Homogenization, Yield design, Scale effect, Boundary effect, Multiphase model
Patrick de Buhan 1 ; Ghazi Hassen 1

1 Université Paris Est, UR Navier, Ecole des Ponts ParisTech, 6 et 8 av. B. Pascal, 77455 Marne-la-Vallée, France 
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Patrick de Buhan; Ghazi Hassen. Macroscopic yield strength of reinforced soils: From homogenization theory to a multiphase approach. Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 132-138. doi : 10.1016/j.crme.2010.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.03.004/

[1] P. Suquet Elements of homogenization for inelastic solid mechanics, Homogenization for Composite Media, CISM Lecture Notes, vol. 272, Springer-Verlag, 1985, pp. 155-182

[2] P. de Buhan, A fundamental approach to the yield design of reinforced soil structures, Dr.Sc. thesis, UMPC, Paris, 1986 (in French)

[3] P. de Buhan; A. Taliercio A homogenization approach to the yield strength of composite materials, Eur. J. Mech. A/Solids, Volume 10 (1991) no. 2, pp. 129-154

[4] A. Sawicki Yield conditions for layered composites, Int. J. Solids Structures, Volume 17 (1981) no. 10, pp. 969-979

[5] P. de Buhan Macroscopic yield strength of a strip reinforced material, C. R. Acad. Sci., Sér. II, Volume 301 (1985) no. 9, pp. 557-560

[6] P.A. Vermeer, R.B.J. Brinkgreve, Finite element code for soil and rock analysis, A.A. Balkema, Rotterdam (Netherlands), 1995

[7] B. Sudret; P. de Buhan A multiphase model for materials reinforced by linear inclusions, C. R. Acad. Sci., Sér. IIb, Volume 327 (1999), pp. 7-12

[8] P. de Buhan; P. Sudret Micropolar multiphase model for materials reinforced by linear inclusions, Eur. J. Mech. A/Solids, Volume 19 (2000), pp. 669-687

[9] Q. Thai Son; G. Hassen; P. de Buhan A multiphase approach to the stability analysis of reinforced earth structures accounting for soil–strip failure condition, Comput. Geotech., Volume 36 (2009), pp. 454-462

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