 | | 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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| Mohamed I.A. Othman, A.A. El-Bary, and Haitham M. Atef, "Modeling the Magnetic Field and Initial Stress on Fractional Order Strain Thermo-Viscoelastic Material via Moore-Gibson-Thompson Theory," Mech. Solids. 59 (6), 3449-3463 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3449-3463 |
| DOI |
10.1134/S0025654424603732 |
| Title |
Modeling the Magnetic Field and Initial Stress on Fractional Order Strain Thermo-Viscoelastic Material via Moore-Gibson-Thompson Theory |
| Author(s) |
Mohamed I.A. Othman (Faculty of Science, Department of Mathematics, Zagazig, Egypt, m_i_a_othman@yahoo.com)
A.A. El-Bary (Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt, aaelbary@aast.edu)
Haitham M. Atef (Faculty of Science, Department of Mathematics and Computer Science, Damanhur University, Damanhur, Egypt, hitham_ali@sci.dmu.edu.eg) |
| Abstract |
The objective of the present work is to examine the impact of initially stress and magnetic field on a two-dimensional problem involving generalized, fractional order strain thermo-visco-elastic
material, based on the Moore-Gibson-Thompson (MGT) theory. The normal mode analysis is used
to obtain the analytical expressions of physical quantities in the physical domain. Subsequently, these
expressions are computed using numerical methods and visually shown using graphs. Finally, the
results of the study are examined in both the absence and presence of the viscosity, magnetic field, initial stress and fractional parameter. |
| Keywords |
thermo-viscoelasticity, fractional order strain, normal mode analysis, Moore-Gibson-Thompson theory, magnetic field, initial stress |
| Received |
10 May 2024 | Revised |
28 August 2024 | Accepted |
19 September 2024 |
| Link to Fulltext |
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