Transient Plane Wave Solutions to Homogeneous Equations of Orthotropic Thermoelasticity With Thermal Relaxation: Illustration

Abstract

Complementary (homogeneous) transient solutions for orthotropic thermoelasticity with thermal relaxation admit plane waves that propagate in a principal plane without spatial attenuation, but with exponential decay in their wake. Three speeds that vaiy with decay coefficient and propagation direction exist, and each speed is associated with three reflections from a plane surface aligned with another principal plane. As examples, values from both speed sets are presented, as well as angles of reflection and decay coefficients for given incident waves. For a half-space suiface that is traction-free but exhibits convection, suiface temperature change is derived, and values also presented.