The Relaxation Effects on Plane Waves Problems
in Generalized Thermoelasticity
Mohammed I. A. Othman
Department of mathematics, Faculty of Education,
Salalah-211, P. O. Box 2801, Sultanate of Oman.
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Abstract. In this work the normal mode analysis is used to obtain the exact expressions for the temperature, the displacement and the stress of the model of two-dimensional equations of generalized thermo-elasticity based on Lord-Shulman (L-S), Green-Lindsay (G-L) and classical dynamical-coupled (CD) theories. The resulting formulation is applied to two different concrete problems. The first deals with a plate with thermo-isolated surfaces subject to time-dependent compression. The second concerns the case of a heated punch moving across the surface of a semi-infinite thermoelastic half-space subject to appropriate boundary conditions. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically for the problems considered. Comparisons are made with the results predicted by the coupled theory and with the two theories of generalized thermoelasticity with one and two relaxation times.
