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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, Volume 18, Issue 4, Pages 458–466
DOI: https://doi.org/10.18500/1816-9791-2018-18-4-458-466
(Mi isu780)
 

This article is cited in 1 scientific paper (total in 1 paper)

Scientific Part
Mechanics

Stress and strain fields in a plate of stress state dependent material properties

E. V. Lomakin, O. P. Shchendrigina

Lomonosov Moscow State University, 1 Leninskie Gory, Moscow 119991, Russia
Full-text PDF (240 kB) Citations (1)
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Abstract: The paper analyzes the properties of the constitutive relations proposed to describe the behavior of materials whose deformation diagrams depend on the type of external forces. In this case, various forms of nonlinearity arise, related to the dependence of the properties of materials on the type of the stressed state, the nonlinearity of the deformation diagrams, and the relationship between the shear and volume deformation processes. The influence of these forms of nonlinearity on the distribution of stresses and strains in a circular plate under different boundary conditions is investigated. The stress and strain fields were calculated for structural graphite and they are compared with the results of calculations for a classical physically nonlinear material whose properties are invariant to the form of external forces. The conditions imposed on the parameters of material functions that ensure the uniqueness of the solution of boundary value problems are established.
Key words: nonlinear theory of elasticity, constitutive relations, stress state parameter, susceptibility of properties to the type of external forces.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00318_а
17-51-52001_МНТ_а
This work was supported by Russian Foundation for Basic Research (projects nos. 17-01-00318, 17-51-52001).
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: E. V. Lomakin, O. P. Shchendrigina, “Stress and strain fields in a plate of stress state dependent material properties”, Izv. Saratov Univ. Math. Mech. Inform., 18:4 (2018), 458–466
Citation in format AMSBIB
\Bibitem{LomShc18}
\by E.~V.~Lomakin, O.~P.~Shchendrigina
\paper Stress and strain fields in a plate of stress state dependent material properties
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2018
\vol 18
\issue 4
\pages 458--466
\mathnet{http://mi.mathnet.ru/isu780}
\crossref{https://doi.org/10.18500/1816-9791-2018-18-4-458-466}
\elib{https://elibrary.ru/item.asp?id=36716509}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Abstract page:169
    Full-text PDF :60
    References:18
     
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