 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Dmitrii Khristich, "Nonlinear Constitutive Relations of Thermoelasticity for Anisotropic Bodies," Mech. Solids. 60 (3), 1713-1721 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
1713-1721 |
| DOI |
10.1134/S0025654425602009 |
| Title |
Nonlinear Constitutive Relations of Thermoelasticity for Anisotropic Bodies |
| Author(s) |
Dmitrii Khristich (Tula State University, Tula, 300012 Russia, dmitrykhristich@rambler.ru) |
| Abstract |
One of the ways to describe the reaction of an anisotropic elastic body to external force and thermal influences is to construct functional dependencies of the measure of finite deformations on the stress tensor and temperature. To find such dependencies, the inverse thermomechanical problem is formulated. The solution of the thermomechanical problem is based on the use as hypotheses of generalizations of A.A. Ilyushin particular isotropy postulate, formulated for finite deformations of anisotropic bodies. Nonlinear dependencies of the strain tensor on the stress tensor and temperature are obtained using the Gibbs thermodynamic potential. |
| Keywords |
thermoelasticity, constitutive relations, nonlinear models, anisotropic materials, particular isotropy postulate, Gibbs potential |
| Received |
21 February 2025 | Revised |
29 March 2025 | Accepted |
25 April 2025 |
| Link to Fulltext |
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