 | | 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: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| Praveen Ailawalia, Ibrahim S. Elshazly, Borhen Halouani, Harshit Tyagi, E.S. Elidy, and Khaled Lotfy, "One-dimensional Solution of Hygrothermoelastic Rod Problem by Laplace Transformation," Mech. Solids. 59 (8), 4114-4128 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
8 |
Pages |
4114-4128 |
| DOI |
10.1134/S0025654424606268 |
| Title |
One-dimensional Solution of Hygrothermoelastic Rod Problem by Laplace Transformation |
| Author(s) |
Praveen Ailawalia (Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, India, praveen 2117@rediffmail.com)
Ibrahim S. Elshazly (Department of Basic Sciences, Common First Year, King Saud University, Riyadh, 11451 Saudi Arabia, iali2.c@ksu.edu.sa)
Borhen Halouani (Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia, halouani@ksu.edu.sa)
Harshit Tyagi (Department of Civil Engineering, Punjab Engineering College (Deemed to be University) Chandigarh, India, harshittyagi2003@icloud.com)
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 hygrothermoelastic rod of length is solved by the Laplace
transformation technique. One end of the rod is subjected to a sudden heat source. The governing
equations of the medium are transformed using Laplace transformation and the analytical expressions
of displacement, moisture concentration, temperature distribution, and stresses are obtained. These
transformed components are then inverted by the numerical inversion method and are presented
graphically for different periods. The effect of moisture concentration is also shown through the
graphical representations. |
| Keywords |
one-dimensional, heat source, temperature distribution, hygrothermoelastic rod, moisture concentration |
| Received |
07 November 2024 | Revised |
02 December 2024 | Accepted |
04 December 2024 |
| Link to Fulltext |
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