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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...
This paper deals with the thermoelastic interactions due to heat source in a homogeneous isotropic and unbounded rotating elastic medium in the context of generalized thermoelasticity. Integral transform techniques are adopted, namely: the Laplace transform for the time variable and the exponential Fourier transform for two of the space variables to the basic equations of the generalized thermoelasticity...
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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