A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method
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 equat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/3/488 |
| _version_ | 1817992287318179840 |
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| author | Tareq Saeed Ibrahim Abbas Marin Marin |
| author_facet | Tareq Saeed Ibrahim Abbas Marin Marin |
| author_sort | Tareq Saeed |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T01:24:20Z |
| format | Article |
| id | doaj.art-690c87c336bb43759aa606cd730872c0 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T01:24:20Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-690c87c336bb43759aa606cd730872c02022-12-22T02:20:29ZengMDPI AGSymmetry2073-89942020-03-0112348810.3390/sym12030488sym12030488A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element MethodTareq Saeed0Ibrahim Abbas1Marin Marin2Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500093, RomaniaThe 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.https://www.mdpi.com/2073-8994/12/3/488finite element methodthermal relaxation timesporoelastic materialporosity |
| spellingShingle | Tareq Saeed Ibrahim Abbas Marin Marin A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method Symmetry finite element method thermal relaxation times poroelastic material porosity |
| title | A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method |
| title_full | A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method |
| title_fullStr | A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method |
| title_full_unstemmed | A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method |
| title_short | A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method |
| title_sort | gl model on thermo elastic interaction in a poroelastic material using finite element method |
| topic | finite element method thermal relaxation times poroelastic material porosity |
| url | https://www.mdpi.com/2073-8994/12/3/488 |
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