 | | 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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| L.A. Alekseyeva and B.N. Alipova, "Stationary Boundary Problems of Coupled Thermoelasticity for a Half-Plane and Their Solution," Mech. Solids. 58 (5), 1509-1516 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1509-1516 |
| DOI |
10.3103/S0025654423600381 |
| Title |
Stationary Boundary Problems of Coupled Thermoelasticity for a Half-Plane and Their Solution |
| Author(s) |
L.A. Alekseyeva (Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Republic of Kazakhstan, alexeeva@math.kz)
B.N. Alipova (University of Kentucky, Lexington, KY, 40506 USA; International IT University, Almaty, 050040 Republic of Kazakhstan, alipova.bakhyt@gmail.com) |
| Abstract |
Using the model of coupled thermoelasticity, the boundary value problems of the dynamics of a thermoelastic half-space are solved for plane deformation with periodic surface force and thermal effects associated with the desired boundary functions by linear algebraic relations. Green's tensors are constructed for the stated boundary value problems, using their properties, analytical solutions of these problems are obtained. To solve them, we have used the method of incomplete separation of variables, the Fourier transform, and the properties of fundamental solutions. The presented algorithm solves the classical four boundary value problems of thermoelasticity, as well as non-classical ones with coupled thermal and force characteristics at the boundary of the half-plane. |
| Keywords |
coupled thermoelasticity, thermally stressed state, periodic boundary value problems, linearly coupled boundary conditions, analytical solution |
| Received |
07 September 2022 | Revised |
15 October 2022 | Accepted |
17 October 2022 |
| Link to Fulltext |
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