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A two-dimensional generalized thermoelastic diffusion problem for a half-space. (English) Zbl 1406.74080

Summary: The dynamic response of a two-dimensional generalized thermoelastic diffusion problem for a half-space is investigated in the context of the generalized thermoelastic diffusion theory. The half-space is subjected to a thermal shock and a chemical potential shock on its bounding surface. The governing equations of this problem are formulated, and due to the complexity of the equations, a numerical method, i.e., hybrid Laplace transform-finite element method, is used to solve them. The non-dimensional temperature, displacement and chemical potential are obtained and illustrated graphically. The results show that the non-zero values of all the considered variables are only in a bounded region and vanish identically beyond this region, and the propagating speed of diffusive wave is larger than that of thermoelastic wave.

MSC:

74B05 Classical linear elasticity
74F05 Thermal effects in solid mechanics
74A15 Thermodynamics in solid mechanics
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