الفهرس 
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Abstract
This thesis studies the Thermoelasticity which is considered a branch of applied mechanics concerned with the effects of heat on the deformation and stresses in solid bodies which are considered to be elastic. It is, thus, an extension of the conventional theory of isothermal elasticity to processes in which deformation and stresses are produced not by mechanical forces alone, but by temperature variation as well. Also, it studies the different theories of the elasticity beginning with the linear theory of elasticity until the generalized theory of thermoelasticity and solving two new problems in the context of the theory of generalized thermoelasticity with one relaxation time. This thesis consists of three chapters. The first chapter is an introductory one. It consists of a review of the classical theory of elasticity, theory of thermodynamics as well as the derivations of the theories of uncoupled, coupled and generalized thermoelasticity. In the second chapter, we have solved a problem for an infinitely long hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time. The outer surface of the cylinder is traction free and acted upon by a thermal shock, while the inner surface is assumed to be in contact with a rigid surface and is thermally insulated. Laplace transform technique is used to solve the problem. The solution in the transformed domain is obtained by a direct approach. The inverse transforms are obtained in an approximate analytical manner using asymptotic expansions valid for small values of time. The temperature, displacement and stress are computed and represented graphically In the third chapter, we have solved a problem in the context of the theory of generalized thermoelasticity with one relaxation time. The medium in this problem consists of a thick plate placed on top of a half space composed of a different material. The surface of the plate is traction free and subjected to a constant thermal shock. Laplace transform techniques are used to obtain the solution by a direct approach. The inverse transforms are obtained numerically.