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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 4, Pages 29–34
DOI: https://doi.org/10.17377/sibjim.2017.20.404 (Mi sjim976) 		 
Invariant operators and separation of residual stresses

V. M. Gordienkoab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2017.20.404
Abstract: We consider the equations of linear elasticity in stresses for the three-dimensional space. Solutions are decomposed into sums of stationary solutions not satisfying the compatibility condition (residual stresses) and nonstationary solutions satisfying the compatibility condition and hence representable through the displacements. The construction of this decomposition is reduced to solving a series of Poisson equations.
Keywords: elasticity theory, strain tensor, stress tensor, deviator, residual stresses, Saint-Venant compatibility conditions.
Received: 31.10.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 521–526
DOI: https://doi.org/10.1134/S1990478917040093
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. M. Gordienko, “Invariant operators and separation of residual stresses”, Sib. Zh. Ind. Mat., 20:4 (2017), 29–34; J. Appl. Industr. Math., 11:4 (2017), 521–526
Citation in format AMSBIB
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\by V.~M.~Gordienko
\paper Invariant operators and separation of residual stresses
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 4
\pages 29--34
\mathnet{http://mi.mathnet.ru/sjim976}
\crossref{https://doi.org/10.17377/sibjim.2017.20.404}
\elib{https://elibrary.ru/item.asp?id=32662942}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 521--526
\crossref{https://doi.org/10.1134/S1990478917040093}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036455501}
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    		Сибирский журнал индустриальной математики
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