A Computerized Boundary Element Model for Generalized Thermoelasticity Theory of FGA Rotating Plates with Two Relaxation Times

The second generalization of the coupled theory of thermo-elasticity is known as the theory of thermoelasticity
with two relaxation times, or the theory of temperature-rate-dependent thermo-elasticity, and
was proposed by Green and Lindsay [42]. It is based on a form of the entropy inequality proposed by
Green and Laws [43]. It does not violate the Fourier’s law of heat conduction when the body under
consideration has a center of symmetry, and it is valid for both isotropic and anisotropic bodies. This
theory contains two constants that act as relaxation times and modify all equations of the coupled
theory, not only the heat equation. Green and Naghdi [44] proved the uniqueness of the equations
derived from Green and Lindsay and studied the propagation of acceleration waves. Ignaczak [45,46]
studied a strong discontinuity wave. Dhaliwal and Rokne [47] solved a thermal shock problem in
generalized thermo-elasticity. While both (L-S) and (G-L) theories entail hyperbolic energy equations
and admit second sound, there exist fundamental differences between (L-S) and (G-L) theories are as
follows: