Variants of determining correlations of deformation theory of plasticity in the calculation of shell of rotation on the basis of finite element method

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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 Federation

Anatoliy 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 Federation

Olga 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 Federation

Mikhail 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 Federation

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Copyright (c) 2019 Klochkov Y.V., Nikolaev A.P., Vakhnina O.V., Klochkov M.Y.

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