A generalized Mohr-Coulomb criterion implied by the revised Goodman-Cowin theory
The author derives constitutive expressions in a revised Goodman-Cowin theory proposed by the author. In particular, the expression for Cauchy stress tensor is shown to imply a generalized Mohr-Coulomb criterion for the impending flow of granular matters. To this end, the concept of microcontinuum is employed: the effects of internal friction and other non-conservative forces inside the microcontinuum are accounted for the introducing a second-rank symmetric tensor. The constitutive expression for the effective stress tensor is constructed to be an objective function of an objective vector and stretching tensor arguments, under the uniform distribution of grains.
scientific article; zbMATH DE number 5645760