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Analytical solution of fractional order photo-thermoelasticity in a non-homogenous semiconductor medium

Aatef Hobiny (Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)
Ibrahim Abbas (Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia) (Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 21 June 2018

Issue publication date: 29 October 2018

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Abstract

Purpose

The purpose of this paper is to study the wave propagation in a non-homogenous semiconducting medium through the photothermal process using the fractional order photo-thermoelastic without neglecting the coupling between the plasma and thermoelastic waves that photogenerated through traction free and loaded thermally by exponentially decaying pulse boundary heat flux.

Design/methodology/approach

The analytical solutions in the transformed domain by the eigenvalue approach were observed through the transform techniques of Laplace.

Findings

Silicon-like semiconductor was used to achieve the numerical computations.

Originality/value

Some comparisons are shown in the figures to estimate the effects of the fractional order and non-homogeneous parameters.

Keywords

Acknowledgements

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under Grant No. (G: 229-130-1439). The authors, therefore, acknowledge with thanks DSR for technical and financial support.

Citation

Hobiny, A. and Abbas, I. (2018), "Analytical solution of fractional order photo-thermoelasticity in a non-homogenous semiconductor medium", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 5, pp. 1017-1030. https://doi.org/10.1108/MMMS-11-2017-0137

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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