 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| B.A. Zhukov, "Thermoelastic Behavior of an Incompressible Elastomer at Finite Strains," Mech. Solids. 57 (4), 701-711 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
4 |
Pages |
701-711 |
| DOI |
10.3103/S0025654422040227 |
| Title |
Thermoelastic Behavior of an Incompressible Elastomer at Finite Strains |
| Author(s) |
B.A. Zhukov (Volgograd State Socio-Pedagogical University, Volgograd, 400005 Russia; Volgograd State Technical University, Volgograd, 400005 Russia, zhukov.b.a@gmail.com) |
| Abstract |
Parts made of elastomers usually work in a temperature range in which they exhibit highly elastic deformation. Thermal expansion is not a highly elastic deformation and is present in the entire temperature range in which the elastomer exists. These types of deformation react differently to temperature changes. The aim of this article is to elucidate, within the framework of the phenomenological approach, the influence of the temperature dependences of these deformations on the temperature dependence of the stress tensor components describing the stress state of an incompressible elastomer at finite deformation using a specific problem as an example. A variant of the formulation of the problem of statics of a homogeneous isotropic incompressible material at finite deformations is used, which makes it possible to take into account thermal expansion as a self-sufficient process, independent of highly elastic deformation. Within the framework of this formulation, a new exact solution of the coupled problem of thermoelasticity of a finite longitudinal shear of a long cylindrical bushing with the Gent-Thomas strain energy potential in a non-uniform temperature field is obtained. It is shown that the temperature dependence of the shear stress causing longitudinal shear is determined only by thermal expansion, while the temperature dependence of normal stresses is significantly determined by thermal expansion, and to a lesser extent by the temperature change of highly elastic deformation. The temperature dependence of the shear stiffness is mainly determined by the temperature change of the highly elastic deformation. |
| Keywords |
thermomechanics, thermal expansion, highly elastic finite deformation, inhomogeneous temperature field, hyperelasticity, incompressibility, Gent-Thomas potential |
| Received |
12 February 2021 | Revised |
14 April 2021 | Accepted |
24 May 2021 |
| Link to Fulltext |
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