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Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model

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Abstract

This article proposes a photothermal model to reveal the thermo-magneto-mechanical properties of semiconductor materials, including coupled diffusion equations for thermal conductivity, elasticity, and excess carrier density. The proposed model is developed to account for the optical heating that occurs through the semiconductor medium. The Moore–Gibson–Thompson (MGT) equation of the fourth-order serves as the theoretical framework to establish the photothermal model. It is well-known that the optical and heat transfer properties of such materials behave as random functions of photoexcited-carrier density; therefore, the current model is remarkably more reliable compared to the earlier closed-form theories which are limited to a single form. The constructed theoretical framework is able to investigate the magneto-photo-thermoelastic problems in a semiconductor medium due to laser pulse excitation as a case study. Some parametric studies are used to exhibit the impact of thermal parameters, electromagnetic fields, laser pulses and thermoelectric coupling factors on the thermomagnetic behavior of physical variables. Finally, several numerical examples have been presented to draw the distributions of the examined field variables.

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Funding

A.E. Abouelregal extends his appreciation to the Deanship of Scientific Research at Jouf University for funding this work through research grant No. (DSR-2021-03-0379). He would also like to thank the College of Science and Arts in Al-Qurayyat for its technical support. H.M. Sedighi is grateful to the Research Council of Shahid Chamran University of Ahvaz for its financial support (Grant No. SCU.EM1401.98).

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Authors and Affiliations

  1. Department of Mathematics, College of Science and Arts, Jouf University, El-Qurayat, Saudi Arabia

    Ahmed E. Abouelregal

  2. Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43337, Iran

    Hamid M. Sedighi

  3. Drilling Center of Excellence and Research Center, Shahid Chamran University of Ahvaz, Ahvaz, Iran

    Hamid M. Sedighi

  4. Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, 80-233, Gdańsk, Gdansk, Poland

    Victor A. Eremeyev

  5. DICAAR, Università degli Studi di Cagliari, Via Marengo, 2, 09123, Cagliari, Italy

    Victor A. Eremeyev

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  1. Ahmed E. Abouelregal
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Correspondence to Hamid M. Sedighi.

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Abouelregal, A.E., Sedighi, H.M. & Eremeyev, V.A. Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model. Continuum Mech. Thermodyn. 35, 81–102 (2023). https://doi.org/10.1007/s00161-022-01170-z

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