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In this study, in order to solve the limitation of the modified Mohr-Coulomb criterion in the numerical implementation induced by the corners or apexes, a modified Mohr-Coulomb criterion with smooth tension cut-off has been proposed. Both the nonlinear meridian shape function and the deviatoric shape function have been studied, and the failure surface of the proposed criterion is smooth and derivable at any stress states. The criterion has been verified through numerical simulations and comparison with the experimental results. Furthermore, it will be easier to adopt this smooth criterion in the numerical algorithm without losing good qualities of modified Mohr-Coulomb criterion.

A Modified Mohr Coulomb Criterion for Rocks with Smooth Tension Cut-off