 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| Praveen Ailawalia, Alwaleed Kamel, Amr M.S. Mahdy, E.S. Elidy, and Khaled Lotfy, "Thermal Shock Analysis in a Semiconducting Medium Using a Modified Green–Lindsay Thermoelastic Model," Mech. Solids. 60 (5), 4050-4064 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4050-4064 |
| DOI |
10.1134/S0025654425602861 |
| Title |
Thermal Shock Analysis in a Semiconducting Medium Using a Modified Green–Lindsay Thermoelastic Model |
| Author(s) |
Praveen Ailawalia (Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, India, Praveen_2117@rediffmail.com)
Alwaleed Kamel (Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia, kalwaleed@iu.edu.sa)
Amr M.S. Mahdy (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, amattaya@tu.edu.sa)
E.S. Elidy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, eslamelidy@yahoo.com)
Khaled Lotfy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, khlotfy_1@yahoo.com) |
| Abstract |
A thermal shock problem in a semiconducting rod under modified Green-Lindsay theory of length l is discussed. The partial differential equations are simplified by applying the Laplace transformation technique. It is assumed that one end of the rod is subjected to a sudden heat source. The governing equations of a semiconducting medium are transformed using the Laplace transform, and analytical expressions for displacement, stress, carrier density, and temperature distribution are obtained. These transformed components are then inverted by the numerical inversion method and are presented graphically to show the results in different theories of thermoelasticity. |
| Keywords |
Green-Lindsay theory, Semiconducting medium, Laplace Transformation, Heat source, Temperature distribution, Carrier density |
| Received |
03 June 2025 | Revised |
07 July 2025 | Accepted |
10 July 2025 |
| Link to Fulltext |
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