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Analytical Solutions of Photo-Thermal-Elastic Waves in a Semiconductor Material Due to Pulse Heat Flux with Thermal Memory

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Abstract

In the present work, the interaction between the generalized thermoelasticity theory and Photothermal theory under the effect of volumetric source of heat with thermal memory is investigated. The governing equations for this model are taken of semiconductor medium in one dimension with pulse heat flux. The main goal is to study the overlap between the waves as plasma, thermal and elastic waves. The analytical solutions are obtained for some physical quantities as temperature, displacement, radial stress and carrier intensity in thin circular plate by using Laplace transformation method. To obtain the complete solutions, the inversion numerical method is used. The semiconductor silicon material is used to obtain numerical results. The obtained physical quantities are discussed and illustrated graphically.

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  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

    Kh. Lotfy

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  1. Kh. Lotfy
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Lotfy, K. Analytical Solutions of Photo-Thermal-Elastic Waves in a Semiconductor Material Due to Pulse Heat Flux with Thermal Memory. Silicon 12, 263–273 (2020). https://doi.org/10.1007/s12633-019-00120-w

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  • DOI: https://doi.org/10.1007/s12633-019-00120-w

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