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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-4pp.2465-2473

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A.S. Begun and L.V. Kovtanyuk, "On an Analytical Solution to the Creep Problem of a Viscoelastic Cylindrical Layer under Torsional Loading," Mech. Solids. 60 (4), 2465-2473 (2025)
Year 2025 Volume 60 Number 4 Pages 2465-2473
DOI 10.1134/S0025654425600667
Title On an Analytical Solution to the Creep Problem of a Viscoelastic Cylindrical Layer under Torsional Loading
Author(s) A.S. Begun (Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia; Vladivostok State University, Vladivostok, 690014 Russia, asustinova@mail.ru)
L.V. Kovtanyuk (Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia, lk@iacp.dvo.ru)
Abstract Using a mathematical model of large deformations of materials with elastic, plastic and viscous properties, an analytical solution is obtained for the problem of deformation under creep conditions of a viscoelastic material placed in a gap between two rigid cylindrical surfaces, when the outer rigid cylinder rotates due to a twisting moment applied to it, while the inner cylinder is stationary. The displacements, reversible and irreversible deformations, stresses at all stages of deformation, including residual deformations and stresses under full unloading, are calculated.
Keywords large deformations, creep, elasticity, residual stresses
Received 11 February 2025Revised 24 February 2025Accepted 25 February 2025
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