Eulerian Structure of Generalized Plasticity: Theoretical and Computational Aspects

Abstract

In this work a new Eulerian approach to large deformation generalized plasticity, within the context of affine tensor analysis in Euclidean spaces, is presented. The approach relies crucially on the systematic use of the Lie derivative concept. Classical plasticity is then derived, as a special case of generalized plasticity. The computational implications resulting from the absence of the requirement for the existence of a yield surface in the theory of generalized plasticity are discussed. On the basis of those implications a general integration scheme is proposed. As an application, a generalized plasticity model in large deformations is presented. The proposed model is then used for the solution of boundary value problems.