Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2020-6pp.820-826

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Zubchaninov V.G., "On the Main Hypotheses of the General Mathematical Theory of Plasticity and the Limits of Their Applicability," Mech. Solids. 55 (6), 820-826 (2020)
Year 2020 Volume 55 Number 6 Pages 820-826
DOI 10.3103/S0025654420060163
Title On the Main Hypotheses of the General Mathematical Theory of Plasticity and the Limits of Their Applicability
Author(s) Zubchaninov V.G. (Tver State Technical University, Tver, 170026 Russia, vlgzub@gmail.com)
Abstract The article discusses and analyzes the issues of applicability and the limits of applicability of some of the main hypotheses of the general mathematical theory of plasticity. In the theory of elastoplastic deformation processes, this is the postulate of the isotropy of initially isotropic bodies, in which the invariance of orthogonal transformations of the process images is established when a relationship between stresses and deformations is established. In the theory of flow, this is a hypothesis about the decomposition of total deformations into elastic and plastic deformations and the influence on its relationship between stresses and deformations under complex loading.
Keywords elasticity, plasticity, stress and strain tensors, invariants, complex loading, stress and strain vectors, isotropy postulate, deformation decomposition hypothesis
Received 28 May 2020Revised 22 June 2020Accepted 15 August 2020
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