Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2010, Issue 2, Pages 21–26 (Mi vyurm170)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Application of the Mohr circles for solving the problem of polar decomposition under plane stress

O. S. Sadakov, A. O. Scherbakova, S. I. Shulzhenko

South Ural State University
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Abstract: The article considers the problem of separation of an asymmetric distortion tensor at the symmetric (stretch tensor) and the orthogonal (rigid body rotation tensor) factors for the case when orthogonal tensor is characterized by one number. This case describes plane strain (or stress) state and is very common when solving boundary problems of deformation of the solid.
Keywords: Mohr circle, deformation gradient, rigid body rotation tensor, stretch tensor, polar decomposition.
Received: 22.03.2010
Document Type: Article
UDC: 531
Language: Russian
Citation: O. S. Sadakov, A. O. Scherbakova, S. I. Shulzhenko, “Application of the Mohr circles for solving the problem of polar decomposition under plane stress”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2010, no. 2, 21–26
Citation in format AMSBIB
\Bibitem{SadSchShu10}
\by O.~S.~Sadakov, A.~O.~Scherbakova, S.~I.~Shulzhenko
\paper Application of the Mohr circles for solving the problem of polar decomposition under plane stress
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2010
\issue 2
\pages 21--26
\mathnet{http://mi.mathnet.ru/vyurm170}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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