Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-2pp.150-161

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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 (2), 150-161 (2021)
Year 2021 Volume 56 Number 2 Pages 150-161
DOI 10.3103/S0025654421020151
Title 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
Author(s) Zhukov B.A. (Volgograd State Socio-Pedagogical University, Volgograd, 400066, Russia; Volgograd State Technical University, Volgograd, 400005, Russia, zhukov.b.a@gmail.com)
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.
Keywords thermomechanics, non-uniform thermal expansion, temperature field, finite deformations, hyperelasticity, incompressibility, longitudinal shear
Received 17 October 2019Revised 20 October 2019Accepted 21 October 2019
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