Elastoplastic equations with exact consistency of strains for the elastic strain frame and the velocities of points

Abstract

We obtain an exact strain consistency equation for full, elastic, and plastic strain characteristics that have a clear physical meaning and are naturally related to stresses. The dynamic equations are represented in a form that does not use the objective stress rate. This obviates a number of essential difficulties in theory of finite elastoplastic strains.

26 pages, 14 references