Localization of Deformations in Finite Elastoplasticity

Abstract

In this paper the guidelines for constructing a geometrical model for the localization of deformations during elastic-plastic deformations are given. A geometrical object, namely the physical metric, introduced to take into account the internal disarrangement during the plastic flow. A number of very general thermomechanical relations are obtained. Constitutive relations giving the conditions for the absence of localization phenomena are also obtained for the two different cases of decomposition of the total deformation gradient into the elastic and the plastic part (Lee, 1969; Nemat-Nasser, 1.979).