Piezo-photo-thermoelasticity transport process for hyperbolic two-temperature theory of semiconductor material

Kh. Lotfy, E. S. Elidy () and Ramdan S. Tantawi ()
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Kh. Lotfy: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt†Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia
E. S. Elidy: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Ramdan S. Tantawi: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 07, 1-19

Abstract: A general solution for propagating waves in a generalized piezo-photo-thermoelastic medium for the one-dimensional (1D) problem under the hyperbolic two-temperature theory is investigated. The governing equations of the elastic waves, carrier density (plasma wave), quasi-static electric field, heat conduction equation, hyperbolic two temperature coefficient and constitutive relationships for the peizo-thermoelastic medium are obtained using Laplace transformation method in 1D. On the interface adjacent to the vacuum, mechanical stress loads, thermal and plasma boundary conditions are applied to obtain the main basic physical quantities in the Laplace domain. The inversion of Laplace transform by a numerical method is applied to obtain the complete solutions in the Laplace time domain for the main physical fields in this phenomenon. The effects on the force stress, displacement component, temperature distribution and carrier density of the thermoelastic, thermoelectric and hyperbolic two-temperature parameters by the applied force were graphically discussed.

Keywords: Piezo-thermoelastic; hyperbolic two temperature thermoelasticity; Laplace transform; thermoelectric; photothermal (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121500881

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