Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2021-2pp.271-277

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Minaeva N.V. and Sabynin D.V., "On the Stress-Strain State of a Stochastically Inhomogeneous Thick-Walled Pipe," Mech. Solids. 56 (2), 271-277 (2021)
Year 2021 Volume 56 Number 2 Pages 271-277
DOI 10.3103/S0025654421020096
Title On the Stress-Strain State of a Stochastically Inhomogeneous Thick-Walled Pipe
Author(s) Minaeva N.V. (Voronezh State University, Voronezh, 394018 Russia,
Sabynin D.V. (Voronezh State University, Voronezh, 394018 Russia)
Abstract A solution is found by the method of perturbations with an accuracy up to values of the second order of smallness, which describes the state of an inhomogeneous elastoplastic thick-walled pipe under the action of compressive forces. Deviations of the contour of the cross-section of the pipe from the circumference and inhomogeneity of the material are characterized by independent small parameters. A condition is obtained under which, in the case of an experimental analysis of the pipe state, the average values of stresses and displacements will be close to those in the axisymmetric state.
Keywords thick-walled pipe, small parameter method, convergence, stochastic inhomogeneity
Received 01 November 2020Revised 15 November 2020Accepted 02 December 2020
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