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Abstract The Laplace transform is one of the most important analytical methods to overcome the difficulties that arise when solving ordinary differential equations or partial nonlinear differential equations. Using the method of Laplace transform reduced the set of partial differtial equations and additional conditions to a set of ordinary differential equations and the corresponding condions . The reduced system can be solved analytically or numerically. The thesis is made up of five chapters, which are: Chapter (1) It is an introductory chapter about thermoelasticity. Chapter (2 This chapter contains a review of the classical theory of elasticity, the essentials of the theory of thermodynamics and the derivation of the basic equations of the theory of coupled , uncoupled thermoelasticity and the generalized theory of thermoelaticity with one relaxation time . Chapter (3- This chapter cotains the basic concepts of electromagnetic theory , Maxwell’s equations , Omh’s law and Lorentz force. Chapter (4 we consider the one-dimensional problem of a half space in the context of the theory of generalized thermoelasticity with one relaxation time in a perfectly conducting medium.) |