An analysis of thermally-induced plane waves in elastic-plastic single crystals

A framework for the calculation of thermally-induced plane waves in elastic-plastic single crystals of arbitrary crystallographic symmetry and orientation is presented. Plasticity is described in terms of small strain theory and the available slip-planes which can be arbitrary in number as well as in orientation. The effects of perfect-plasticity modify not only the anisotropic elastic moduli, but also the components of the Grüneisen tensor. The latter effect is a consequence of a non-spherical stress state developed in anisotropic materials during rapid energy-absorption at constant strain. Specific examples of thermally-induced plane waves are presented for both the elastic and plastic response of beryllium and graphite single-crystals.