Remarques sur la comparaison des critères de Coulomb et Drucker-Prager en déformations planes

Abstract

ABSTRACT Coulomb criterion is often used in plane strain, due to the simplicity of its formulation. This criterion is sometimes compared to the less singular Drucker-Prager criterion. This technical note deals with the correspondence between both criteria in plane strain and highlights the limits of such a comparison. It is shown that an analogy exists between both criteria, leading to the same limit loading parameters in case of associated flow rule. Nevertheless, even in this case, the elastoplastic evolution problems are not identical. This difference in the evolution problem does not allow to compare both “materials” in case of non-associated flow rule.