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Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative
Ashraf M Zenkour1,2, Daoud S Mashat1, Ashraf M Allehaibi1,3
1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
Materials (Basel, Switzerland)
|April 12, 2022
Summary
This study explores magneto-thermoelasticity in a spherical cavity using a dual-phase-lag model. It reveals how magnetic fields and phase-lags influence heat and stress distribution in materials.
Area of Science:
- Solid Mechanics
- Continuum Mechanics
- Thermoelasticity
Background:
- Thermoelasticity describes material response to thermal and mechanical loads.
- Dual-phase-lag models refine heat conduction by considering distinct relaxation times for heat flux and temperature gradient.
- Magneto-thermoelasticity investigates coupled thermal, mechanical, and electromagnetic phenomena in materials.
Purpose of the Study:
- To analyze magneto-thermoelastic interactions in an unbounded medium with a spherical cavity.
- To apply a refined multi-time-derivative dual-phase-lag thermoelasticity model.
- To investigate the influence of magnetic fields and phase-lag parameters on field variables.
Main Methods:
- Utilizing a refined multi-time-derivative dual-phase-lag thermoelasticity model.
- Developing a generalized magneto-thermoelastic coupled solution via Laplace transforms.
- Analyzing field variables through graphical representations.
Main Results:
- The study presents a generalized solution for magneto-thermoelasticity in a spherical cavity.
- Graphical analysis demonstrates the significant impact of magnetic fields and phase-lags on field quantities.
- The model's validity is confirmed through comparisons with existing literature.
Conclusions:
- The refined dual-phase-lag model effectively captures magneto-thermoelastic phenomena.
- Magnetic fields and phase-lag parameters are crucial in determining the thermoelastic response.
- The findings offer insights into material behavior under coupled thermal, mechanical, and electromagnetic loads.
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