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The theory of generalized thermoelasticity is applied to a two-dimensional problem for a half-space under the action of body forces. The surface is stress free with thermal shock. Double integral transforms (Laplace transform for time variable and Fourier transform for space variable) are used and the resulting equations are written in the form of a vector-matrix differential equation. The solution...
The fundamental equations of coupled thermoelasticity in an isotropic elastic medium with a cylindrical cavity under the dependence of the modulus of elasticity on the reference temperature have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach. The normal mode analysis is used to obtain the expressions for stresses and temperature when the lateral...
The fundamental equations of the problems of generalized thermoelasticity based on the Green and Naghdi theory have been written in the form of a vector- matrix differential equation in the Laplace transform domain and solved by the eigenvalue approach. Two problems arising in the study of wave propagation in infinite medium studied in details by examining of the nature of the solution in space time...
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