Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method
In this work, the finite element technique is employed to evaluate the effects of thermal relaxation durations on temperature, displacements, and stresses in a two-dimensional, polymeric, orthotropic, elastic medium. The problem is considered in a homogeneous, polymeric, orthotropic medium in the co...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/14/10/2112 |
| _version_ | 1797496214467379200 |
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| author | Ibrahim Abbas Aatef Hobiny Hashim Alshehri Sorin Vlase Marin Marin |
| author_facet | Ibrahim Abbas Aatef Hobiny Hashim Alshehri Sorin Vlase Marin Marin |
| author_sort | Ibrahim Abbas |
| collection | DOAJ |
| description | In this work, the finite element technique is employed to evaluate the effects of thermal relaxation durations on temperature, displacements, and stresses in a two-dimensional, polymeric, orthotropic, elastic medium. The problem is considered in a homogeneous, polymeric, orthotropic medium in the context of the Green and Lindsay model with two thermal relaxation times. The bounding surface of the half-space was subjected to a heat flux with an exponentially decaying pulse. Finite element techniques were used to solve the governing formulations, with eight-node isoparametric rectangular elements with three degrees of freedom (DOF) per node. The developed method was calculated using numerical results applied to the polymeric, orthotropic medium. The findings were implemented and visually shown. Finally, the results were displayed to demonstrate the differences between classical dynamic coupling (CT), the Lord–Shulman (LS) and the Green and Lindsay (GL) models. |
| first_indexed | 2024-03-10T03:00:29Z |
| format | Article |
| id | doaj.art-179f5030be994965978715a9a487c2d2 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-10T03:00:29Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-179f5030be994965978715a9a487c2d22023-11-23T12:47:41ZengMDPI AGPolymers2073-43602022-05-011410211210.3390/polym14102112Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element MethodIbrahim Abbas0Aatef Hobiny1Hashim Alshehri2Sorin Vlase3Marin Marin4Mathematics Department, Faculty of Science, Sohag University, Sohag 82725, EgyptNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 22233, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 22233, Saudi ArabiaDepartment of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, RomaniaDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaIn this work, the finite element technique is employed to evaluate the effects of thermal relaxation durations on temperature, displacements, and stresses in a two-dimensional, polymeric, orthotropic, elastic medium. The problem is considered in a homogeneous, polymeric, orthotropic medium in the context of the Green and Lindsay model with two thermal relaxation times. The bounding surface of the half-space was subjected to a heat flux with an exponentially decaying pulse. Finite element techniques were used to solve the governing formulations, with eight-node isoparametric rectangular elements with three degrees of freedom (DOF) per node. The developed method was calculated using numerical results applied to the polymeric, orthotropic medium. The findings were implemented and visually shown. Finally, the results were displayed to demonstrate the differences between classical dynamic coupling (CT), the Lord–Shulman (LS) and the Green and Lindsay (GL) models.https://www.mdpi.com/2073-4360/14/10/2112thermal relaxationgoverning equationspolymeric orthotropic materialfinite element method |
| spellingShingle | Ibrahim Abbas Aatef Hobiny Hashim Alshehri Sorin Vlase Marin Marin Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method Polymers thermal relaxation governing equations polymeric orthotropic material finite element method |
| title | Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method |
| title_full | Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method |
| title_fullStr | Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method |
| title_full_unstemmed | Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method |
| title_short | Analysis of Thermoelastic Interaction in a Polymeric Orthotropic Medium Using the Finite Element Method |
| title_sort | analysis of thermoelastic interaction in a polymeric orthotropic medium using the finite element method |
| topic | thermal relaxation governing equations polymeric orthotropic material finite element method |
| url | https://www.mdpi.com/2073-4360/14/10/2112 |
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