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

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...

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Main Authors: Tareq Saeed, Ibrahim Abbas, Marin Marin
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
finite element method
thermal relaxation times
poroelastic material
porosity
Online Access:https://www.mdpi.com/2073-8994/12/3/488
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spelling doaj-690c87c336bb43759aa606cd730872c02020-11-25T01:28:23ZengMDPI 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
collection DOAJ
language English
format Article
sources DOAJ
author Tareq Saeed
Ibrahim Abbas
Marin Marin
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
author_facet Tareq Saeed
Ibrahim Abbas
Marin Marin
author_sort Tareq Saeed
title 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_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_sort gl model on thermo-elastic interaction in a poroelastic material using finite element method
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-03-01
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.
topic finite element method
thermal relaxation times
poroelastic material
porosity
url https://www.mdpi.com/2073-8994/12/3/488
work_keys_str_mv AT tareqsaeed aglmodelonthermoelasticinteractioninaporoelasticmaterialusingfiniteelementmethod
AT ibrahimabbas aglmodelonthermoelasticinteractioninaporoelasticmaterialusingfiniteelementmethod
AT marinmarin aglmodelonthermoelasticinteractioninaporoelasticmaterialusingfiniteelementmethod
AT tareqsaeed glmodelonthermoelasticinteractioninaporoelasticmaterialusingfiniteelementmethod
AT ibrahimabbas glmodelonthermoelasticinteractioninaporoelasticmaterialusingfiniteelementmethod
AT marinmarin glmodelonthermoelasticinteractioninaporoelasticmaterialusingfiniteelementmethod
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