Stability analysis of thermo-visco-plastic materials undergoing high-rate shear deformations

摘要

In this paper we present an energy estimate for two systems of partial differential equations that govern thermo-mechanical behavior of materials undergoing simple and anti-plane shear deformations. A linearized stability analysis is then carried out for the case of simple shear deformation with an exponentially softening stress-strain law. A series of numerical experiments on the fully nonlinear one-dimensional system of partial differential equations constitutes the final section of the paper.