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Influence of Thermal Expansion in an Inhomogeneous Stationary Temperature Field on the Inhomogeneous Stress-Strain State of an Incompressible Elastomer Solid under Static Finite Deformations

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Abstract—

A modification of the statement of the problem of statics of a homogeneous isotropic incompressible material at finite deformations is proposed, taking into account thermal expansion. The influence of thermal expansion in an inhomogeneous stationary temperature field on the inhomogeneous stress-strain state of a solid is considered by the example of a cylindrical sleeve subjected to a finite longitudinal shear. The influence of an inhomogeneous temperature field on the stress-strain state in the transverse plane of a cylindrical sleeve, generated by both a finite longitudinal shear and thermal expansion, has been investigated.

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Authors and Affiliations

  1. Volgograd State Socio-Pedagogical University, 400066, Volgograd, Russia

    B. A. Zhukov

  2. Volgograd State Technical University, 400005, Volgograd, Russia

    B. A. Zhukov

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

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Translated by I. K. Katuev

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Zhukov, B.A. Influence of Thermal Expansion in an Inhomogeneous Stationary Temperature Field on the Inhomogeneous Stress-Strain State of an Incompressible Elastomer Solid under Static Finite Deformations. Mech. Solids 56, 150–161 (2021). https://doi.org/10.3103/S0025654421020151

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  • DOI: https://doi.org/10.3103/S0025654421020151

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