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Strength criterion of porous media: Application of homogenization techniques

Abstract : The present paper aims at giving some general ideas concerning the micromechanical approach of the strength of a porous material. It is shown that its determination theoretically amounts to solving a nonlinear boundary value problem defined on a representative elementary volume (REV). The principle of nonlinear homogenization is illustrated based on the case of a solid phase having a Green's strength criterion. An original refinement of the so-called secant method (based on two reference strains) is also provided. The paper also describes the main feature of the Gurson's model which implements the principle of limit analysis on a conceptual model of hollow sphere. The last part of the paper gives some ideas concerning poromechanical couplings.
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Submitted on : Wednesday, January 25, 2017 - 5:49:38 PM
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L. Dormieux, Éric Lemarchand, D. Kondo, S. Brach. Strength criterion of porous media: Application of homogenization techniques. Journal of Rock Mechanics and Geotechnical Engineering, Elsevier, 2017, 9 (1), pp.62-73. ⟨10.1016/j.jrmge.2016.11.010⟩. ⟨hal-01446317⟩

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