الفهرس 
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Abstract
The present work is devoted to study the thermal response of some viscoelastic bodies using the different thermoelasticity theories: the Classical Dynamical Coupled theory, LordShulman theory and GreenLindsay theory. Two problems of viscoelastic infinite bodies with spherical cavity or cylndrical cavitiy are solved when the boundaries of the cavities are under constant temperature. The viscoelastic effect of Maxwell type is introduced in the present formulation using the Laplace transformation method and the viscoelasticelastic analogy in which the elastic constants in the equations defining the elastic problems may be replaced by certain combinations of elastic and viscoelastic constants and of the Laplace transform parameter. Analytical small time solutions for temperature, displacements and thermal stresses are obtained in different thermoelasticity theories. Numerical examples are given, and comparative analysis is carried out graphically to study the effect of the first and second relaxation times on the viscoelastic response of the bodies. The present study concludes generally that the GreenLindsay theory is more suitable for studing the viscoelastic bodies than the Classical Dynamical Coupled and LordShulman theories.