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Article

A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method

1
Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2
Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
3
Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500093, Romania
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(3), 488; https://doi.org/10.3390/sym12030488
Received: 7 March 2020 / Revised: 17 March 2020 / Accepted: 20 March 2020 / Published: 24 March 2020
(This article belongs to the Special Issue Composite Structures with Symmetry)
The purpose of this study is to provide a method to investigate the effects of thermal relaxation times in a poroelastic material by using the finite element method. The formulations are applied under the Green and Lindsay model, with four thermal relaxation times. Due to the complex governing equation, the finite element method has been used to solve these problems. All physical quantities are presented as symmetric and asymmetric tensors. The effects of thermal relaxation times and porosity in a poro-thermoelastic medium are studied. Numerical computations for temperatures, displacements and stresses for the liquid and the solid are presented graphically. View Full-Text
Keywords: finite element method; thermal relaxation times; poroelastic material; porosity finite element method; thermal relaxation times; poroelastic material; porosity
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MDPI and ACS Style

Saeed, T.; Abbas, I.; Marin, M. A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method. Symmetry 2020, 12, 488. https://doi.org/10.3390/sym12030488

AMA Style

Saeed T, Abbas I, Marin M. A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method. Symmetry. 2020; 12(3):488. https://doi.org/10.3390/sym12030488

Chicago/Turabian Style

Saeed, Tareq, Ibrahim Abbas, and Marin Marin. 2020. "A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method" Symmetry 12, no. 3: 488. https://doi.org/10.3390/sym12030488

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