Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-6pp.872-877

Archive of Issues

Total articles in the database: 4918
In Russian (. . ): 2350
In English (Mech. Solids): 2568

<< Previous article | Volume 55, Issue 6 / 2020 | Next article >>
Gotsev D.V., Kovalev A.V., and Yakovlev A.Yu., "Stress State of Unbounded Space Near a Cylindrical Cavity with a Non-Circular Cross-Section for Aging Elastic-Viscoplastic Materials," Mech. Solids. 55 (6), 872-877 (2020)
Year 2020 Volume 55 Number 6 Pages 872-877
DOI 10.3103/S0025654420060084
Title Stress State of Unbounded Space Near a Cylindrical Cavity with a Non-Circular Cross-Section for Aging Elastic-Viscoplastic Materials
Author(s) Gotsev D.V. (Voronezh State University, Voronezh, 394018 Russia; Federal State Official Military Educational Institution of Higher Education Military Educational and Scientific Centre of the Air Force "N.E. Zhukovsky and Y.A. Gagarin Air Force Academy" (Voronezh), Ministry of Defence of the Russian Federation, Voronezh, 394064 Russia, rbgotsev@mail.ru)
Kovalev A.V. (Voronezh State University, Voronezh, 394018 Russia; Federal State Official Military Educational Institution of Higher Education Military Educational and Scientific Centre of the Air Force "N.E. Zhukovsky and Y.A. Gagarin Air Force Academy" (Voronezh), Ministry of Defence of the Russian Federation, Voronezh, 394064 Russia, kav-mail@mail.ru)
Yakovlev A.Yu. (Voronezh State University, Voronezh, 394018 Russia, yakovlev@amm.vsu.ru)
Abstract The article deals with the determination of the stress state for an unbounded space in the vicinity of a cylindrical cavity (thick-walled slab with a hole), which has a cross-section of a shape close to a regular polygonal (Galin-Ivlev problem). As a model of the space material, we have used a model of the medium that takes into account the aging elastic-viscoplastic properties. The solution has been obtained within the framework of the method of a small parameter that characterizes the deviation of the hole shape from the circle, as well as the perturbation of static boundary conditions. In this case, the unperturbed state corresponds to an axisymmetric elastoplastic stress-strain state of a thick slab with a circular hole that is made of an aging elasto-viscoplastic material. As a result, analytical expressions for the stress components are obtained, as well as an equation for determining the shape and size of the interface between the domains of elastic and plastic deformation of the slab.
Keywords model of an aging visco-elastic material, biaxial tension, thick slab with a non-circular hole, perturbation method, stress state
Received 18 May 2020Revised 11 June 2020Accepted 15 August 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420060084
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