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Article Dans Une Revue Continuum Mechanics and Thermodynamics Année : 2016

Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity

Résumé

In this paper, the well-established two-dimensional mathematical model for linear pyroelectric materials is employed to investigate the reflection of waves at the boundary between a vacuum and an elastic, transversely isotropic, pyroelectric material. A comparative study between the solutions of (a) classical thermoelasticity, (b) Cattaneo-Lord-Shulman theory and (c) Green-Lindsay theory equations, characterised by none, one and two relaxation times respectively, is presented. Suitable boundary conditions are considered in order to determine the reflection coefficients when incident elasto-electro-thermal waves impinge the free interface. It is established that, in the quasi-electrostatic approximation, three different classes of waves: (i) two principally elastic waves, namely, a quasi-longitudinal P rimary (qP) wave and a quasi-transverse S econdary (qS) wave; and (ii) a mainly thermal (qT) wave. The observed electrical effects are, on the other hand, a direct consequence of mechanical and thermal phenomena due to pyroelectric coupling. The computed reflection coefficients of plane qP waves are found to depend upon the angle of incidence, the elastic, electric and thermal parameters of the medium, as well as the thermal relaxation times. The special cases of normal and grazing incidence are also derived and discussed. Finally, the reflection coefficients are computed for Cadmium selenide (CdSe) observing the influence of (i) the anisotropy of the material, (ii) the electrical potential and (iii) temperature variations and (iv) the thermal relaxation times on the reflection coefficients.
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Dates et versions

hal-01094877 , version 1 (14-12-2014)

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Abo-El-Nour Abd-Alla, Ivan Giorgio, Luca Galantucci, Abdelmonam M. Hamdan, Dionisio del Vescovo. Wave reflection at a free interface in an anisotropic pyroelectric medium with nonclassical thermoelasticity. Continuum Mechanics and Thermodynamics, 2016, 28 (1-2), pp.67-84. ⟨10.1007/s00161-014-0400-7⟩. ⟨hal-01094877⟩
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