Modular Plane Stress Plasticity Material Model

Abstract

A variety of recent work has expanded capabilities in LAMÉ with respect to anisotropic and modular plasticity model. In this context, modular refers to a flexible framework and consistent implementation such that different hardening functional forms may all be incorporated into the same material model implementation rather than needing a new model for each description. However, such work has been focused on three-dimensional formulations and limited attention has been paid to structural formulations; i.e. for use with beam or shell elements. As a first step to bringing some of these recent advances towards structural elements, modular isotropic hardening capabilities will be added to the J2 von Mises plane-stress plasticity formulation of Simo and Taylor. To accomplish this effort, in Section 2 and 3 the theory and numerical formulation of the model are given. Specific functional forms of the hardening and example syntax to use them are then presented in Section 4 while verification exercises are documented in Section 5. Finally, some concluding thoughts about future work are given in Section 6.