 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| S.M. Abo-Dahab, K. Lotfy, M.E. Gabr, M.A. Aiyashi, M.D. Albalwi, and A. Jahangir, "Study on the Effect of Relaxation Time and Mode-I Crack on the Wave through the Magneto-Thermoelasticity Medium with Two Temperatures," Mech. Solids. 58 (5), 1848-1864 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1848-1864 |
| DOI |
10.3103/S0025654423600708 |
| Title |
Study on the Effect of Relaxation Time and Mode-I Crack on the Wave through the Magneto-Thermoelasticity Medium with Two Temperatures |
| Author(s) |
S.M. Abo-Dahab (Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
K. Lotfy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, khlotfy@zu.edu.eg)
M.E. Gabr (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; Higher Future Institute for Specialized Technological Studies, Cairo, Egypt)
M.A. Aiyashi (Department of Mathematics, Faculty of Science, Jazan University, Jazan, 45142 Saudi Arabia)
M.D. Albalwi (Yanbu Industrial College, The Royal Commission for Jubail and Yanbu, 30436 Saudi Arabia)
A. Jahangir (Department of Mathematics, COMSATS University Islamabad, Wah Campus, Pakistan, adnan_jahangir@yahoo.com) |
| Abstract |
The article aims to depict the influence of one relaxation time on elastic and thermal waves propagating through an isotropic medium. The medium is half-space and homogenous in nature. The thermal properties of the particles are influenced by thermodynamic and conducive temperature. Along with all these conditions we have also considered the medium to be under the impact of an primarily functional magnetic field with uniform intensity. Firstly, we developed the theory of generalized surface waves and employed it to investigate some cases of wave propagation. Secondly, in the physical domain, the harmonic vibrations of a half-space are used to obtain expressions for field variables involved in the mathematical model. The surface of the medium is under the constraint of Mode-I crack. A numerical application is presented for a particular material to illustrate the study graphically. |
| Keywords |
generalized thermoelasticity, mode-I crack, two temperature, magnetic field |
| Received |
01 May 2023 | Revised |
03 July 2023 | Accepted |
06 July 2023 |
| Link to Fulltext |
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