Finite Eulerian Elastoplasticity without Strain

Abstract

In the last few decades a number of phenomenological models have been developed fordescribing elastoplastic materials undergoing finite deformations. They are different in structure,e.g., their formulation is related to the reference or to the actual configuration , i.e., it is a Lagrangeanor Eulerian formulation or it may contain elastic and/or plastic deformations. This study hasshown that the most simple and straightforward obtained constitutive relation is free from anynotion of elastic or plastic deformation. Moreover, it is related to the actual configuration, andthus omits to the greatest possible extent, quantities containing unwanted geometric deformationinformations.