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Variants of determining correlations of deformation theory of plasticity in the calculation of shell of rotation on the basis of finite element method
- Authors: Klochkov Y.V.1, Nikolaev A.P.1, Vakhnina O.V.1, Klochkov M.Y.2
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Affiliations:
- Volgograd State Agricultural University
- Lomonosov Moscow State University
- Issue: Vol 15, No 4 (2019)
- Pages: 315-322
- Section: Numerical methods of structures’ analysis
- URL: https://journals.rudn.ru/structural-mechanics/article/view/21809
- DOI: https://doi.org/10.22363/1815-5235-2019-15-4-315-322
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Abstract
Relevance. The problems of decline of resource-demanding of objects of building and engineer dictate the necessity of consideration of processes of deformation of constructions at the resiliently-plastic state. The widely in-use theory of account of practical properties of material is a deformation theory of plasticity. The aim of the research is development of variants of receipt of determining correlations on the step of ladening at deformation of material outside a resiliency. Methods. Algorithms over of receipt of determining correlations of theory of small resiliently-plastic deformations are brought on the step of ladening in two variants. In the first they turn out differentiation of expressions of tensions as functions of deformations on the basis of deformation theory of plasticity; in the second determining correlations turn out on the basis of hypothesis about the proportion of components of deviators increases of tensions to components of deviators increases of deformations. Results. On the test example of calculation of the jammed cylindrical shell realization of the got determining correlations is presented.
About the authors
Yuriy V. Klochkov
Volgograd State Agricultural University
Author for correspondence.
Email: klotchkov@bk.ru
SPIN-code: 9436-3693
Doctor of Technical Sciences, Professor, Head of the Higher Mathematics Department
26 University Ave., Volgograd, 400002, Russian FederationAnatoliy P. Nikolaev
Volgograd State Agricultural University
Email: klotchkov@bk.ru
SPIN-code: 2653-5484
Doctor of Technical Sciences, Professor, Professor of the Applied Geodesy, Environmental Engineering and Water Use Department
26 University Ave., Volgograd, 400002, Russian FederationOlga V. Vakhnina
Volgograd State Agricultural University
Email: klotchkov@bk.ru
SPIN-code: 3593-0159
Candidate of Technical Sciences, Associate Professor of Higher Mathematics Department
26 University Ave., Volgograd, 400002, Russian FederationMikhail Yu. Klochkov
Lomonosov Moscow State University
Email: klotchkov@bk.ru
SPIN-code: 2767-3955
third-year student of the Faculty of Physics
1 Leninskiye Gory, Moscow, 119899, Russian FederationReferences
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