 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| Khaled Lotfy, Ibrahim S. Elshazly, Borhen Halouani, Saurav Sharma, and Eslam S. Elidy, "Moisture Diffusion with Stress Distribution in a 2D Hygrothermoelastic Orthotropic Material," Mech. Solids. 60 (1), 435-451 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
435-451 |
| DOI |
10.1134/S0025654424606736 |
| Title |
Moisture Diffusion with Stress Distribution in a 2D Hygrothermoelastic Orthotropic Material |
| Author(s) |
Khaled Lotfy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, khlotfy_1@yahoo.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)
Saurav Sharma (University of Houston Cullen College of Engineering, Houston, Texas, 77054 USA, sauravkuk@gmail.com)
Eslam S. Elidy (University of Houston Cullen College of Engineering, Houston, Texas, 77054 USA, eslamelidy@yahoo.com) |
| Abstract |
This study presents a comprehensive investigation into the hygrothermoelastic behavior of
orthotropic materials, focusing on the intricate coupling between moisture diffusion, temperature
variation, and mechanical stresses. The generalized equations of hygrothermoelasticity are utilized to
derive a three-dimensional (3D) model, which is subsequently reduced to a two-dimensional (2D)
framework for analyzing plane wave propagation in an elastic medium. The primary physical fields
under consideration (elastic displacements, temperature, and moisture diffusion) are coupled through
the governing equations and are influenced by mechanical and thermal sources applied at the material’s free surface. Wave solutions are utilized to solve the coupled wave equations that are produced in
terms of moisture content, displacement, and temperature. A mechanical and thermal source is
applied over the free surface of the hygrothermoelastic media to acquire the components of displacement, stresses, temperature field, and moisture concentration in the medium. These components are
then graphically depicted. The results reveal significant insights into the role of moisture content in
altering wave propagation characteristics, including changes in wave speed, amplitude, and attenuation. These findings underscore the critical influence of moisture on material properties such as stiffness, strength, and thermal conductivity. Furthermore, the study highlights the interdependence of
thermal and mechanical fields, demonstrating the complex interactions between environmental factors and orthotropic material behavior. |
| Keywords |
Thermoelasticity, Hygrothermal, Moisture concentration, Temperature, Orthotropic materials, Stress distribution |
| Received |
27 November 2024 | Revised |
16 January 2025 | Accepted |
19 January 2025 |
| Link to Fulltext |
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