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Thermoelastic Processes by a Continuous Heat Source Line in an Infinite Solid via Moore-Gibson-Thompson
Ahmed E Abouelregal1,2, Ibrahim-Elkhalil Ahmed1,3, Mohamed E Nasr1,4
1Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 77423, Saudi Arabia.
Materials (Basel, Switzerland)
|October 14, 2020
Summary
This study introduces a new thermoelasticity model based on the Moore-Gibson-Thompson equation to analyze heat transfer and wave propagation. The novel model overcomes limitations of previous theories and provides validated numerical results for physical fields.
Area of Science:
- Solid Mechanics
- Thermodynamics
- Continuum Mechanics
Background:
- Classical heat transfer models, such as Fourier's law, have limitations.
- Existing thermoelastic models sometimes fail to maintain positivity, necessitating improved approaches.
Purpose of the Study:
- To introduce and investigate a novel thermoelasticity model based on the Moore-Gibson-Thompson equation.
- To analyze wave propagation in an infinite isotropic body under a continuous thermal line source using the new model.
- To address limitations in positivity found in some existing thermoelastic models.
Main Methods:
- Development of a thermomechanical model combining hyperbolic and parabolic partial differential equations.
- Application of Laplace and Hankel transform methods, along with a potential function approach.
- Utilizing Laplace and Hankel inverse transformations for space-time domain solutions.
Main Results:
- The model successfully investigates wave propagation under a continuous thermal line source.
- Numerical calculations validate the physical fields derived from the model.
- Theoretical and numerical results are compared with those from other thermoelastic models.
Conclusions:
- The proposed Moore-Gibson-Thompson-based thermoelasticity model offers a robust framework for analyzing thermomechanical phenomena.
- The model provides accurate predictions for wave propagation and thermal fields.
- This work contributes to the advancement of thermoelasticity theories and their applications.
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