Thermodynamic Influences on the Growth and Decay of Acceleration Waves

Abstract

Previous papers [1, 2] in this series have dealt with shock and acceleration waves in materials with memory.* Those articles, resting on the constitutive assumption that the stress is a functional of the history of the deformation gradient, neglected thermal influences. In this and subsequent papers we shall allow the stress to be affected not only by the history of the strain, but also the history of a thermodynamic variable such as the temperature. We shall make no restriction on this influence of the history of strain and temperature on the stress other than to suppose that it be compatible with the laws of thermodynamics and the principle of fading memory.**