A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating
A mathematical model of the Green-Naghdi photo-thermoelastic model due to ramp-type heating is presented to study the photo- thermo-elastic waves in a two-dimension semi-conductor material. By using Fourier and Laplace transforms with the eigenvalue scheme, the variables are analytically obtained. A...
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doaj-07d991354ea847f692d005103216e1222021-06-02T17:17:38ZengElsevierAlexandria Engineering Journal1110-01682021-04-0160220332040A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heatingAatef D. Hobiny0Faris S. Alzahrani1Ibrahim A. Abbas2Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia; Mathematics Department, Faculty of Science, Sohag University, EgyptA mathematical model of the Green-Naghdi photo-thermoelastic model due to ramp-type heating is presented to study the photo- thermo-elastic waves in a two-dimension semi-conductor material. By using Fourier and Laplace transforms with the eigenvalue scheme, the variables are analytically obtained. A semiconductor media such as silicon is investigated. Numerical outcomes for all the physical quantities are implemented and illustrated graphically. The results show that the ramp-type source has varying degrees of influence on physical quantities. The derived methods are evaluated with numerical outcomes which are applied to the semi-conductor material in simplified geometry. Finally, it can be found that the ramp-type heating source has great effects on the studying fields.http://www.sciencedirect.com/science/article/pii/S1110016820306281GNII modelLaplace-Fourier transformsEigenvalues approachPhoto-thermal waves |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Aatef D. Hobiny Faris S. Alzahrani Ibrahim A. Abbas |
spellingShingle |
Aatef D. Hobiny Faris S. Alzahrani Ibrahim A. Abbas A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating Alexandria Engineering Journal GNII model Laplace-Fourier transforms Eigenvalues approach Photo-thermal waves |
author_facet |
Aatef D. Hobiny Faris S. Alzahrani Ibrahim A. Abbas |
author_sort |
Aatef D. Hobiny |
title |
A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating |
title_short |
A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating |
title_full |
A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating |
title_fullStr |
A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating |
title_full_unstemmed |
A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating |
title_sort |
study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating |
publisher |
Elsevier |
series |
Alexandria Engineering Journal |
issn |
1110-0168 |
publishDate |
2021-04-01 |
description |
A mathematical model of the Green-Naghdi photo-thermoelastic model due to ramp-type heating is presented to study the photo- thermo-elastic waves in a two-dimension semi-conductor material. By using Fourier and Laplace transforms with the eigenvalue scheme, the variables are analytically obtained. A semiconductor media such as silicon is investigated. Numerical outcomes for all the physical quantities are implemented and illustrated graphically. The results show that the ramp-type source has varying degrees of influence on physical quantities. The derived methods are evaluated with numerical outcomes which are applied to the semi-conductor material in simplified geometry. Finally, it can be found that the ramp-type heating source has great effects on the studying fields. |
topic |
GNII model Laplace-Fourier transforms Eigenvalues approach Photo-thermal waves |
url |
http://www.sciencedirect.com/science/article/pii/S1110016820306281 |
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