Dynamical Thermoelastic Behavior Predicted by an Extended Lord-Shulman Theory

Abstract

The extended form of Lord-Shulman (L-S) theory is formulated by the Jeffreys type heat conduction equation at first. The combined constitutive equations of the generalized thermoelastic theories, including the L-S theory, the Green-Lindsay (G-L) theory and the extended L-S theory, are given. The equations in the extended L-S and G-L cases are solved by the numerical inversion of Laplace transform for the Danilovskaya's problem. The temperature and strain fields in the semiinfinite elastic medium are calculated for various relaxation parameters and thermo-mechanical coupling factor. Various propagating characteristics of the thermal and elastic waves are discussed.