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The paper is devoted to the numerical solution of an elastoplastic constitutive initial value problems containing the Mohr-Coulomb yield criterion, a nonassociative plastic flow rule and a nonlinear isotropic hardening. The plastic flow rule is formulated in a subdifferential form to keep just one plastic multiplier. It is shown that such a formulation is suitable also for numerical purposes. Namely, it leads to simplification of the implicit return-mapping scheme and the consistent tangent operator. This paper is a free continuation of 1503.03605 available in arXiv.