About the causes of cyclical instability at computations of large elasto-plastic strains

摘要

Response of various elasto-plastic models is compared at large strains under cyclic loading. In contrast to the small strain case, the cyclic instability is observed at large strains for some elasto-plastic material models with a kinematic hardening. The cyclic instability manifests itself as changing of shape, size or location of the hysteresis loop during cycling. Causes of the cyclic instability are analyzed. Conditions ensuring the cyclic stability of elasto-plastic models are proposed.