Computational formulation for the asymptotic response of elastoplastic solids under cyclic loads

We propose in this paper an algorithm to compute the stabilized solution for an elastoplastic solid under cyclic loadings in excess of the shakedown limits. The numerical procedure is based on a formulation of the set of asymptotic conditions, comprising a reduced number of unknowns and equations. The algorithm strongly relies on a special trial and projection operation proposed here for the local update of the plastic strain increments.