Shocks in Thermoelastic Rods

Abstract

A theory of a thermoelastic rod is presented in this paper. The theory is based on the work of Green and Naghdi, supplemented by singular supplies of momenta, energy and entropies at a discontinuity. In addition, several aspects of the theory in the presence of internal constraints are presented. The theory is suited to the study of numerous applications, including studies of phase transformations, propagation of shock and acceleration waves and axially moving rods.