Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2016-2pp.182-189

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Total articles in the database: 10512
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A.A. Bazhin, A.A. Burenin, and E.V. Murashkin, "Simulation of the process of the accumulation of large irreversible deformations under plastic flow and creep conditions," J. Appl. Math. Mech. 80 (2), 182-189 (2016)
Year 2016 Volume 80 Issue 2 Pages 182-189
DOI 10.1016/j.jappmathmech.2016.06.012
Title Simulation of the process of the accumulation of large irreversible deformations under plastic flow and creep conditions
Author(s) A.A. Bazhin (Institute of Automation and Control of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia, bazhin@iacp.dvo.ru)
A.A. Burenin (Institute of Mechanical Engineering and Metallurgy of the Far Eastern Branch of the Russian Academy of Sciences, Komsomolsk-on-Amur, Russia, burenin@iacp.dvo.ru)
E.V. Murashkin (Institute of Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia; The National Nuclear Research University "MIFI", Moscow, Russia, evmurashkin@gmail.com)
Abstract A mathematical model of the large deformations of materials with elastic, plastic and viscous properties is proposed. Non-linear viscous properties develop during deformation preceding plastic flow and, on unloading, in the form of creep of the material and, during its flow, in the form of viscous resistance to plastic flow. The rheological mechanism of the healing of a solitary continuity defect under conditions of cyclic operational loads of the "loading-unloading" type is explained as an example.
Received 01 October 2013
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