On the Propagation of Thermoelastic Waves According to the Coupled Thermoelastic Theory

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In this paper, coupled thermoelastic wave problems are treated with approximate solutions based on the limit-value theorem and with a numerical inversion technique of the Laplace transform. The problems considered are those of a half-space under a sudden strain with constant temperature, or a constant velocity impact with adiabatic condition over the boundary plane. The numerical results show that the approximate solutions are applicable to solve these problems for short and also long times. Further, it is shown from the analyses of two particular cases that at the wave front the coupled thermoelastic waves subjected to a thermoelastic damping, approach asymptotically certain values determined from the boundary conditions. For the adiabatic boundary condition, the influence of coupled thermoelastic effect remains at all points of the body considered, but for the other case, it vanishes gradually at the points through which the wave front has already passed with heat conduction from the boundary.
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