 | | 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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| M.H. Ahmed, M. Raddadi, A.M.S. Mahdy, A. El-Bary, and Kh. Lotfy, "Fractional Thermoelastic Dynamics of Nonlocal Hollow Cylinders with Variable Thermal Conductivity Subjected to Decaying Heat Sources," Mech. Solids. 60 (1), 762-775 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
762-775 |
| DOI |
10.1134/S0025654424607249 |
| Title |
Fractional Thermoelastic Dynamics of Nonlocal Hollow Cylinders with Variable Thermal Conductivity Subjected to Decaying Heat Sources |
| Author(s) |
M.H. Ahmed (Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, 30002 Saudi Arabia, dr.marwa82@yahoo.com)
M. Raddadi (Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, 30002 Saudi Arabia, mhraddadi@taibahu.edu.sa)
A.M.S. Mahdy (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, amattaya@tu.edu.sa)
A. El-Bary (Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt, aaelbary@aast.edu)
Kh. Lotfy (Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, 30002 Saudi Arabia; Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, khlotfy_1@yahoo.com) |
| Abstract |
This study delves into the thermoelastic behavior of an infinitely hollow cylinder, incorporating the effects of nonlocal mechanics, fractional thermoelasticity, and variable thermal conductivity. The cylinder is modeled as homogeneous and isotropic, with its outer surface experiencing a
decaying heat source under traction-free conditions, while the inner surface remains adiabatic and
fixed. The analysis employs the Laplace transform method, complemented by numerical inversion
techniques for a detailed exploration. Validation of the theoretical framework is achieved by simplifying the results and benchmarking them against the above theoretical studies. The study investigates the
influence of fractional order parameters, nonlocal coefficients, variable thermal conductivity, decay
heat source, and temporal evolution on dimensionless displacement, temperature, and stress. The
findings reveal that fractional order parameters and nonlocal coefficients significantly affect stress and
displacement, whereas the variable thermal conductivity and decaying heat source induce intricate,
time-dependent variations. Additionally, the dynamic evolution of physical quantities underscores the
complex interactions among these parameters. |
| Keywords |
Decaying heat, Fractional order parameter, Variable thermal conductivity, Nonlocal, Time-dependent behavior, Thermoelastic response |
| Received |
29 December 2024 | Revised |
20 January 2025 | Accepted |
31 January 2025 |
| Link to Fulltext |
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