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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 2, Pages 28–39 (Mi uzku1304)  

The defining relations for nonlinear elastic bodies and their implementation in the calculation of the rotation shells subjected to axisymmetric loading based on the mixed FEM

N. A. Gureevaa, Yu. V. Klotchkova, A. P. Nikolaevb

a Volgograd State Agricultural University, Volgograd, Russia
b Volgograd State Agricultural University, Volgograd, Russia

Abstract: The relations between stresses and strains, stress and strain increments of a deformable body with nonlinear elastic properties were obtained on the basis of the hypotheses about the proportionality of the components of stress and strain deviators, as well as the components of stress and strain increment deviators. The obtained relations were implemented in a mixed version of the finite element method to calculate the nonlinear elastic deformable rotation shells subjected to axisymmetric loading.

Keywords: vector approximation, tensor approximation, vector field, tensor field, mixed formulation, variational principle.

Full text: PDF file (491 kB)
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UDC: 539.3
Received: 19.12.2014

Citation: N. A. Gureeva, Yu. V. Klotchkov, A. P. Nikolaev, “The defining relations for nonlinear elastic bodies and their implementation in the calculation of the rotation shells subjected to axisymmetric loading based on the mixed FEM”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 2, Kazan University, Kazan, 2015, 28–39

Citation in format AMSBIB
\Bibitem{GurKloNik15}
\by N.~A.~Gureeva, Yu.~V.~Klotchkov, A.~P.~Nikolaev
\paper The defining relations for nonlinear elastic bodies and their implementation in the calculation of the rotation shells subjected to axisymmetric loading based on the mixed FEM
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2015
\vol 157
\issue 2
\pages 28--39
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1304}
\elib{https://elibrary.ru/item.asp?id=23819775}


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