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

• Published in: Stroitelʹnaâ mehanika inženernyh konstrukcij i sooruženij (Online) Vol. 15; no. 4; pp. 315 - 322
• Main Authors: Klochkov, Yuriy V., Nikolaev, Anatoliy P., Vakhnina, Olga V., Klochkov, Mikhail Yu
• Format: Journal Article
• Language: English
• Published: Peoples’ Friendship University of Russia (RUDN University) 15-12-2019
• Subjects: deformation theory of plasticity; deviator increases of deformations; deviator increases of tensions; matrix of plasticity; method of eventual elements
• ISSN: 1815-5235; 2587-8700
• DOI: 10.22363/1815-5235-2019-15-4-315-322

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.