Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab
A numerical solution is presented for a one-dimensional, nonlinear boundary-value problem of thermoelasticity with variable volume force and heat supply in a slab. One surface of the body is subjected to a given periodic displacement and Robin thermal condition, while the other is kept fixed and at...
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| Format: | Article |
| Language: | English |
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Sultan Qaboos University
2015-12-01
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| Series: | Sultan Qaboos University Journal for Science |
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| Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/445 |
| _version_ | 1818214587122581504 |
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| author | Wael M. Mohamed Ahmed F. Ghaleb Enaam K. Rawy Hassan A.Z. Hassan Adel A. Mosharafa |
| author_facet | Wael M. Mohamed Ahmed F. Ghaleb Enaam K. Rawy Hassan A.Z. Hassan Adel A. Mosharafa |
| author_sort | Wael M. Mohamed |
| collection | DOAJ |
| description | A numerical solution is presented for a one-dimensional, nonlinear boundary-value problem of thermoelasticity with variable volume force and heat supply in a slab. One surface of the body is subjected to a given periodic displacement and Robin thermal condition, while the other is kept fixed and at zero temperature. Other conditions may be equally treated as well. The volume force and bulk heating simulate the effect of a beam of hot particles infiltrating the medium. The present study is a continuation of previous work by the same authors for the half-space [1]. The presented Figures display the process of propagation and reflection of the coupled nonlinear thermoelastic waves in the slab. They also show the effects of volume force and heat supply on the distributions of the mechanical displacements and temperature inside the medium. The propagation of beats provides evidence for sufficiently large time values. |
| first_indexed | 2024-12-12T06:22:33Z |
| format | Article |
| id | doaj.art-f09fc21257a346efa1228d08a6d5552e |
| institution | Directory Open Access Journal |
| issn | 1027-524X 2414-536X |
| language | English |
| last_indexed | 2024-12-12T06:22:33Z |
| publishDate | 2015-12-01 |
| publisher | Sultan Qaboos University |
| record_format | Article |
| series | Sultan Qaboos University Journal for Science |
| spelling | doaj.art-f09fc21257a346efa1228d08a6d5552e2022-12-22T00:34:52ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2015-12-01202607710.24200/squjs.vol20iss2pp60-77440Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a SlabWael M. Mohamed0Ahmed F. Ghaleb1Enaam K. Rawy2Hassan A.Z. Hassan3Adel A. Mosharafa4Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.A numerical solution is presented for a one-dimensional, nonlinear boundary-value problem of thermoelasticity with variable volume force and heat supply in a slab. One surface of the body is subjected to a given periodic displacement and Robin thermal condition, while the other is kept fixed and at zero temperature. Other conditions may be equally treated as well. The volume force and bulk heating simulate the effect of a beam of hot particles infiltrating the medium. The present study is a continuation of previous work by the same authors for the half-space [1]. The presented Figures display the process of propagation and reflection of the coupled nonlinear thermoelastic waves in the slab. They also show the effects of volume force and heat supply on the distributions of the mechanical displacements and temperature inside the medium. The propagation of beats provides evidence for sufficiently large time values.https://journals.squ.edu.om/index.php/squjs/article/view/445Finite difference methodHeat supplyNonlinear thermoelasticityNonlinear wave propagationVolume force. |
| spellingShingle | Wael M. Mohamed Ahmed F. Ghaleb Enaam K. Rawy Hassan A.Z. Hassan Adel A. Mosharafa Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab Sultan Qaboos University Journal for Science Finite difference method Heat supply Nonlinear thermoelasticity Nonlinear wave propagation Volume force. |
| title | Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab |
| title_full | Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab |
| title_fullStr | Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab |
| title_full_unstemmed | Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab |
| title_short | Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab |
| title_sort | numerical solution to a one dimensional nonlinear problem of thermoelasticity with volume force and heat supply in a slab |
| topic | Finite difference method Heat supply Nonlinear thermoelasticity Nonlinear wave propagation Volume force. |
| url | https://journals.squ.edu.om/index.php/squjs/article/view/445 |
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