Lode's angle effect on the definition of the strength criterion of porous media

Éric Lemarchand (1) , Luc Dormieux (2, 1) , Djimedo Kondo (3)

1 navier umr 8205 - Laboratoire Navier
2 multi-échelle - Modélisation et expérimentation multi-échelle pour les solides hétérogènes
3 IJLRDA-MISES - Mécanique et Ingénierie des Solides Et des Structures

This paper addresses the open question of the effect of the third invariant in the definition of the strength criterion of porous media. This is here achieved in the context of a porous medium made up of a solid phase, in which strength criterion appears as an explicit function of Lode's angle. Application is provided from the Gurson hollow sphere model for which the macroscopic strength exhibits a lack of symmetry for axisymmetric macroscopic strain rate loadings.

Mots clés: Gurson criterion; micromechanics; porous media; strength criterion; third invariant; Lode angle effect

Domaines: Mécanique [physics.med-ph]; Matériaux

Éric Lemarchand, Luc Dormieux, Djimedo Kondo. Lode's angle effect on the definition of the strength criterion of porous media. International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 39 (14), pp.1506-1526. ⟨10.1002/nag.2404⟩. ⟨hal-01667707⟩