Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2019-4pp.523-532

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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O.V. Dudko and V.E. Ragozina, "Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations," Mech. Solids. 54 (4), 523-532 (2019)
Year 2019 Volume 54 Number 4 Pages 523-532
DOI 10.3103/S0025654419040046
Title Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations
Author(s) O.V. Dudko (Institute of Automation and Control Processes Far Eastern Branch of the Russian Academy of Sciences ul. Radio 5, Vladivostok, 690041 Russia, dudko@iacp.dvo.ru)
V.E. Ragozina (Institute of Automation and Control Processes Far Eastern Branch of the Russian Academy of Sciences ul. Radio 5, Vladivostok, 690041 Russia)
Abstract Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistribution of plastic strains. For dynamic elastic processes generating shock waves in an elastoplastic medium, the possible rates and types of plane shock waves are determined. It is shown that elastic shock waves create jumps in the field of plastic pre-deformations. Relations for calculating such discontinuities are obtained. The main properties of modeling self-similar solutions taking into account the proposed approach to the description of the kinematics of the medium and the possibility of distinguishing between elastic and plastic strains are considered.
Keywords final strains, elastoplastic medium, plastic pre-deformations, elastic shock waves, rotation tensor, plastic strain jump, unloading dynamics, dynamics of repeated elastic loading
Received 23 October 2017
Link to Fulltext https://link.springer.com/article/10.3103/S0025654419040046
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