Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2014, Volume 6, Issue 3, Pages 78–85 (Mi vyurm38)  
Mechanics

On the use of logarithmic strain tensor

O. S. Sadakov, A. O. Scherbakova

South Ural State University
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Abstract: The rejection of the small displacements hypothesis in the mechanics of deformable solids leads to some problems connected with geometrical nonlinearity. At present, these problems are still not completely solved despite their relevance to practical applications. One of these problems is the concept of logarithmic strain. The scalar logarithmic strain is effective in some cases but the logarithmic strain tensor is usually useless.
Keywords: geometrical nonlinearity; finite strains; logarithmic strain; Hencky strain tensor; engineering strain; simple shear.
Received: 05.03.2014
Document Type: Article
UDC: 531
Language: Russian
Citation: O. S. Sadakov, A. O. Scherbakova, “On the use of logarithmic strain tensor”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 6:3 (2014), 78–85
Citation in format AMSBIB
\Bibitem{SadSch14}
\by O.~S.~Sadakov, A.~O.~Scherbakova
\paper On the use of logarithmic strain tensor
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2014
\vol 6
\issue 3
\pages 78--85
\mathnet{http://mi.mathnet.ru/vyurm38}
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