Two equivalent forms of nonlinear kinematic hardening: application to nonisothermal plasticity

Abstract

Employing two alternative forms of nonlinear kinematic hardening (i.e., multisurface and multicomponent forms), effects of the temperature-rate term and the relative translation term involved in them are studied. Examples of stress-strain relations under monotonic and cyclic thermomechanical loads are presented. It is demonstrated that for the multisurface form the two terms are necessary to avoid intersection of surfaces, and that neglect of the temperature-rate term may induce anomalous shifting of stress-strain hysteresis loops under thermomechanical cyclic loading if the kinematic hardening rule employed includes a linear or nearly linear component. Calculations are made for the linear kinematic hardening rule as well.