 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
|
| In English (Mech. Solids): | | 4853 |
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| A.E. Abouelregal, M. Marin, A. Foul, and S.S. Askar, "Thermoviscoelastic Responses in Kirchhoff Circular Micro-Plate via MGT Thermoelastic Model and Modified Couple Stress Theory," Mech. Solids. 59 (4), 2269-2291 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2269-2291 |
| DOI |
10.1134/S002565442460449X |
| Title |
Thermoviscoelastic Responses in Kirchhoff Circular Micro-Plate via MGT Thermoelastic Model and Modified Couple Stress Theory |
| Author(s) |
A.E. Abouelregal (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516 Egypt, ahabogal@mans.edu.eg)
M. Marin (Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov, 500036 Romania;Academy of Romanian Scientists, Bucharest, Romania, m.marin@unitbv.ro)
A. Foul (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia, abdefoul@ksu.edu.sa)
S.S. Askar (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia, saskar@ksu.edu.sa) |
| Abstract |
The study investigates thermal and elastic interactions in isotropic microplate resonators with elastic and viscous properties, exhibiting Kelvin–Voigt behavior, under a uniform magnetic field.
Using the modified Moore–Gibson–Thomson thermoelastic theory (MGTE), modified couple stress theory (MCST) and the Hamiltonian principle, the differential equation of motion, including
size effects, is derived. The model examines thermoelastic vibrations of a circular microplate with simply supported edges and various boundary conditions. The influence of length scale factors on the
bending behavior of thermo-viscoelastic microplates is analyzed. Results show that microplates modeled with MCST theory are more rigid than those with standard continuum plate theory, aiding in the
design of high-quality, low-energy-dissipation micro/nanosheet circular resonators. These findings
are crucial for modern engineering, providing insights into thermoelastic coupling and enhancing
microplate-based system performance and efficiency in various applications. |
| Keywords |
micro-plate, viscoelastic, thermoelasticity, MCST theory, size-dependent |
| Received |
03 July 2024 | Revised |
02 August 2024 | Accepted |
02 August 2024 |
| Link to Fulltext |
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