Limit Plastic State of Notched Stripes with Stress State Dependent Properties

Abstract

Behavior of isotropic media with stress state dependent plastic properties is studied in this paper. One of the possible general approaches to the formulation of constitutive equations of these materials is demonstrated. The derived equations are applied to the problem of tension of a notched stripe under plane stress conditions. Some general equations of stress state dependence of plastic properties of materials that can be used with large variety of models are derived in the case of hyperbolic constitutive equations. Theoretical results are compared with FEM solution of this problem for the Drucker-Prager material model.