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RESOLVING EQUATIONS OF PLANAR DEFORMATION IN CYLINDRICAL COORDINATES FOR PHYSICALLY NONLINEAR CONTINUUM
- 作者: BAKUSHEV S.V1
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隶属关系:
- Penza State University of Architecture and Construction, Russian Federation
- 期: 卷 14, 编号 1 (2018)
- 页面: 38-45
- 栏目: Theory of elasticity
- URL: https://journal-vniispk.ru/1815-5235/article/view/346357
- DOI: https://doi.org/10.22363/1815-5235-2018-14-1-38-45
- ID: 346357
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For planar deformations of continuum, which mechanical behavior is described by mathematical models, where physical relations have the form of cross dependence derivatives between the first invariant of the tensor and the second invariant of the voltage and stress deviator, the development of resolving equations in displacements in cylindrical coordinates is being analyzed. Two models are analyzed as examples: deformation theory of loose medium plasticity and deformation theory of concrete plasticity. The resolving equations system is a system of two quasilinear differential equations of second order at quotient derivatives from two independent variables - the displacement of continuum points at radial and tangential directions. Iteration methods are suggested for its integration. It is recommended to take the discussed question solution for physical linear continuum as initial solution approximation. Received equations can be used at evaluation of stress-strain state of physically nonlinear massive bodies with complex geometry.
作者简介
SERGEY BAKUSHEV
Penza State University of Architecture and Construction, Russian Federation
编辑信件的主要联系方式.
Email: bakuchsv@mail.ru
DSc (in Technical Sciences), Professor, professor of Department of Mechanics, the Penza State University of Architecture and Construction, Russia. Scientific interests: theory of elasticity, geometrical and physic non-linear mechanics of continuous mediums, physically non-linear solid body
28 Titov St., Penza, 440028, Russian Federation参考
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- Bakushev, S.V. (2004). Geometrically nonlinear variant of a deformation theory of concrete elasticity. Concrete and Reinforced Concrete, No 2, 19—23. (In Russ.).
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