 | | 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
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| E.M. Hussein, "New Fractional Application on A homogenous Isotropic Thermo-Poroelastic Half-Space," Mech. Solids. 57 (4), 921-936 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
4 |
Pages |
921-936 |
| DOI |
10.3103/S0025654422040094 |
| Title |
New Fractional Application on A homogenous Isotropic Thermo-Poroelastic Half-Space |
| Author(s) |
E.M. Hussein (Faculty of Science, Damanhur University, Damanhur, 22511 Egypt, emanmhao@sci.dmu.edu.eg) |
| Abstract |
The modified equation of generalized thermo-poroelasticity theory is used to study twodimensional problems in a half-space composed of liquid-saturated porous elastic materials. The surface of the half-space is traction-free, permeable, and maintained at a known temperature. Laplace and Fourier transformation techniques are used. The analytical solution in the transform domain is obtained. By using a numerical method based on Fourier expansion techniques, the inverse of double transforms 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 are represented graphically. Comparison is done with a porous half-space with the same structure in the case of the absence of fluid. The results presented in this research are critical in many scientific and engineering applications. This problem is important for the theoretical application to two-dimensional problems in Cartesian coordinates. This paper involves the theoretical application of the two-dimensional problem for the porous half-space region. |
| Keywords |
Biot's theory, generalized thermo-poroelasticity, permeable, porosity, moving heat source, mathematics subject classification 74F0 |
| Received |
28 January 2022 | Revised |
10 April 2022 | Accepted |
20 April 2022 |
| Link to Fulltext |
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