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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2019-8pp.1240-1249

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B.A. Zhukov, "The Effect of a Uniform Stationary Temperature Field on the Stress-Strain State of Elastomers under Static Large Deformations," Mech. Solids. 54 (8), 1240-1249 (2019)
Year 2019 Volume 54 Number 8 Pages 1240-1249
DOI 10.3103/S0025654419080144
Title The Effect of a Uniform Stationary Temperature Field on the Stress-Strain State of Elastomers under Static Large Deformations
Author(s) B.A. Zhukov (Volgograd State Socio-Pedagogical University, pr. Lenina 27, Volgograd, 400066 Russia; Volgograd State Technical University, pr. Lenina 28, Volgograd, 400131 Russia, zhukov.b.a@gmail.com)
Abstract The formulation of the problems of thermoelasticity is demonstrated, taking into account the nonlinear temperature dependence of thermal expansion at finite strains. In the framework of this formulation, a significant effect of the thermal expansion of elastomers on the stress-strain state is shown. As an example, the isothermal deformation of a round elastomeric cylindrical sleeve with the potential energy of the Mooney-Rivlin strain subjected to longitudinal shear forces on the inner and outer side surfaces is considered. Further, the deformed sleeve is placed in a uniform temperature field in which it expands freely.
Keywords thermomechanics, exponential law of the dependence of thermal expansion on temperature, finite strains, hyperalasticity, incompressibility, longitudinal shear
Received 11 January 2019
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