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10.3390/ma15072432
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Article

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

by
Ashraf M. Zenkour
1,2,*,
Daoud S. Mashat
1 and
Ashraf M. Allehaibi
1,3
1
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
3
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Jamoum, Makkah 21955, Saudi Arabia
*
Author to whom correspondence should be addressed.
Materials 2022, 15(7), 2432; https://doi.org/10.3390/ma15072432
Submission received: 13 January 2022 / Revised: 7 March 2022 / Accepted: 21 March 2022 / Published: 25 March 2022
(This article belongs to the Topic Composites in Aerospace and Mechanical Engineering)
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Abstract

This article introduces magneto-thermoelastic exchanges in an unbounded medium with a spherical cavity. A refined multi-time-derivative dual-phase-lag thermoelasticity model is applied for this reason. The surface of the spherical hole is considered traction-free and under both constant heating and external magnetic field. A generalized magneto-thermoelastic coupled solution is developed utilizing Laplace’s transform. The field variables are shown graphically and examined to demonstrate the impacts of the magnetic field, phase-lags, and other parameters on the field quantities. The present theory is examined to assess its validity including comparison with the existing literature.
Keywords: CTE, L–S, and G–N models; spherical hole; multi-phase-lag CTE, L–S, and G–N models; spherical hole; multi-phase-lag

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MDPI and ACS Style

Zenkour, A.M.; Mashat, D.S.; Allehaibi, A.M. Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories. Materials 2022, 15, 2432. https://doi.org/10.3390/ma15072432

AMA Style

Zenkour AM, Mashat DS, Allehaibi AM. Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories. Materials. 2022; 15(7):2432. https://doi.org/10.3390/ma15072432

Chicago/Turabian Style

Zenkour, Ashraf M., Daoud S. Mashat, and Ashraf M. Allehaibi. 2022. "Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories" Materials 15, no. 7: 2432. https://doi.org/10.3390/ma15072432

APA Style

Zenkour, A. M., Mashat, D. S., & Allehaibi, A. M. (2022). Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories. Materials, 15(7), 2432. https://doi.org/10.3390/ma15072432

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