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The Effect of a Uniform Stationary Temperature Field on the Stress-Strain State of Elastomers under Static Large Deformations

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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.

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Authors and Affiliations

  1. Volgograd State Socio-Pedagogical University, pr. Lenina 27, Volgograd, 400066, Russia

    B. A. Zhukov

  2. Volgograd State Technical University, pr. Lenina 28, Volgograd, 400131, Russia

    B. A. Zhukov

Authors
  1. B. A. Zhukov
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Correspondence to B. A. Zhukov.

Additional information

Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 6, pp. 136–147.

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Zhukov, B.A. The Effect of a Uniform Stationary Temperature Field on the Stress-Strain State of Elastomers under Static Large Deformations. Mech. Solids 54, 1240–1249 (2019). https://doi.org/10.3103/S0025654419080144

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  • DOI: https://doi.org/10.3103/S0025654419080144

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