Constrained Elastic-Plastic Materials

The main purpose of this paper is to present a general constrained theory of finitely deforming elastic-plastic materials. Our formulation is based on a strain-space formulation of plasticity and requires a detailed examination of the effect of constraint on various constitutive ingredients in the unconstrained theory, including the yield functions, loading criteria and various response functions. Also the effect of constraint on the restriction arising from the work inequality of Naghdi and Trapp is examined. 18 refs., 1 tab.