Elastoplastic Integration Method of Mohr-Coulomb Criterion

A new method for implicit integration of the Mohr-Coulomb non-smooth multisurface plasticity models is presented, and Koiter’s requirements are incorporated exactly within proposed algorithm. Algorithmic numerical complexities identified introduced by nonsmooth intersections surfaces; then, a projection contraction algorithm applied to solve classical Kuhn–Tucker complementary equations which provide only characterization possible active yield surfaces as special class variational inequalities, actual surface further determined iteration. The basic idea calculate derivatives potential functions with expressions in principal stresses perform return manipulations general stress space. Based on characteristic equation, partial calculated. eliminates error caused smoothing corner surfaces, avoids singularity at space, does not require transformation needed space method. Lastly, several examples given verify validity