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Hyperbolic Two-Temperature Photo-Thermal Interaction in a Semiconductor Medium with a Cylindrical Cavity

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Abstract

Photo-thermal-elastic interactions in an unbounded semiconductor media containing a cylindrical hole under a hyperbolic two-temperature are investigated using the coupled theory of thermo-elasticity and plasma waves. A new hyperbolic two-temperature model is used to study this problem. The internal surface of the cylindrical cavity is loaded by exponentially decaying pulse boundary heat flux and traction free. The Laplace transform technique are presented to obtain the exact solutions of this problem in the transformed domains by the eigenvalue approach. The inverse of Laplace transforms was numerically carried. The results show that the analytical solutions can overcome the mathematical problems to analyzes this problem. According to the numerical outcomes, the hyperbolic two-temperature thermoelastic theory offers finite velocity of the mechanical waves and thermal waves propagations.

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Acknowledgments

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia, under grant no. (KEP-67-130-38). The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

  1. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Ibrahim Abbas, Tareq Saeed & Mohammed Alhothuali

  2. Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt

    Ibrahim Abbas

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  1. Ibrahim Abbas
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  2. Tareq Saeed
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  3. Mohammed Alhothuali
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Correspondence to Ibrahim Abbas.

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Abbas, I., Saeed, T. & Alhothuali, M. Hyperbolic Two-Temperature Photo-Thermal Interaction in a Semiconductor Medium with a Cylindrical Cavity. Silicon 13, 1871–1878 (2021). https://doi.org/10.1007/s12633-020-00570-7

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  • DOI: https://doi.org/10.1007/s12633-020-00570-7

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