Propagation of Acceleration Waves in Incompressible Thermoelastic Solids

Abstract

The propagation and growth of acceleration waves in an incompressible thermoelastic solid in which constitutive equations also depend on the temperature rate are investigated. The speeds of propagation and the growth equations are obtained in explicit forms in the case of isotropic materials. Uncoupled growth equations of acceleration and thermal waves propagating in principal directions are integrated by assuming the medium is at rest and in thermal equilibrium ahead of the wave front. Shock formation is examined for some special waves.