 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Hussein E.M., "New Fractional Order Model of Thermoporoelastic Theory for a Half Space Saturated with Fluid," Mech. Solids. 56 (5), 838-855 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
5 |
Pages |
838-855 |
| DOI |
10.3103/S0025654421050113 |
| Title |
New Fractional Order Model of Thermoporoelastic Theory for a Half Space Saturated with Fluid |
| Author(s) |
Hussein E.M. (Faculty of Science, Damanhur University, Damanhur, 22511 Egypt, emanmhao@sci.dmu.edu.eg) |
| Abstract |
In this manuscript, the generalized thermo-poroelasticity theory is modified using fractional derivatives. The revised equation is used to study two-dimensional problem of the axisymmetric temperature distribution in half space composed of liquid-saturated porous elastic materials. The surface of the half-space is traction-free and subject to an axisymmetric temperature distribution. The surface is considered permeable. Laplace and Hankel transformation techniques are used. The analytical solution in the transform domain is obtained. By using a numerical method based on the Fourier expansion technique, the inverse of the double transform can be obtained. The numerical results of the displacement of the porous media, the velocity of the fluid, the stress and temperature of the two components are obtained, and graphically are represented. The figures show some comparisons to estimate the impact of fractional parameter on all research areas. The results presented in this research are critical in many scientific and engineering applications. The problems of cylindrical areas are important because they have multiple applications in the production of mechanical parts. This paper involves the theoretical application of the two-dimensional problem of half-space region. |
| Keywords |
generalized thermo-poroelasticity, permeable, porosity, fractional parameters |
| Received |
21 November 2020 | Revised |
10 March 2021 | Accepted |
12 July 2021 |
| Link to Fulltext |
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