FURTHER CONSTITUTIVE RESULTS IN FINITE PLASTICITY

Publisher Website
Google Scholar
Abstract
Within the framework of a purely mechanical theory for finitely deforming elastic-plastic materials, it has been shown previously (1, 2) that strain-hardening behaviour may be characterized by a scalar function which involves all the constitutive response functions of the theory. In the present paper, it is demonstrated that this function is actually a scalar invariant of a certain fourth-order tensor which plays a fundamental role in the theory of plasticity. Also discussed are the matter of invertibility of the stress rate versus strain rate relation, certain consequeces of a physically plausible work assumption (6) and some results which hold during perfectly plastic behaviour.

This publication has 0 references indexed in Scilit: