Abstract
This article deals with the thermoelastic interaction in a piezoelastic half-space body in which the boundary is stress free and subjected to thermal loading. In the context of two-temperature generalized thermoelasticity theory (IMA-2006) the three-phase-lag (3P) thermoelastic model [1], Green-Naghdi model III (GNIII) and Lord-Shulman model (LS) are employed to study the thermophysical quantities. The theory of 3P lag heat conduction equation leads to a fourth order partial differential equation. The basic equations have been written in the form of vector-matrix differential equation in Laplace-transform domain which is then solved by state-space approach. The numerical inversion of the transform is carried out by a method based on Fourier-series expansion techniques. The numerical estimates of the conductive temperature, the strain and the stress distributions are obtained and are shown graphically. The effect of two-temperature and electric field on the solutions have been studied and the comparison of results among different thermoelastic models are made.
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