An Analysis of Dynamic Behavior of an Elastic-Plastic-Viscoplastic Body under Dynamic Reload and Dynamic Reverse Load

Abstract

A generalized elastic-plastic-viscoplastic constitutive equation is proposed which enables us to express dynamic reloading and dynamic reverse loading processes. In both processes, an elastic straight line, a static curve and static Bauschinger stress are generalized. Next, an elastic-plastic-viscoplastic constitutive equation for a one-dimensional bar is derived from the proposed generalized one, and equations of theoretical propagation speed are shown in the bar. Moreover, effects of pre-strain are made clear on stress-strain relations and on stress wave propagation speed-strain relations produced by dynamic reload and dynamic reverse load. In addition, it is also shown that dynamic Bauschinger effect is predicted by the proposed elastic-plastic-viscoplastic constitutive equation.