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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 3, Pages 121–129 (Mi uzku791)  
Three-dimensional finite element for analysis of thin-shell constructions

A. I. Golovanov, M. K. Sagdatullin

Kazan State University
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Abstract: The article regards the construction of a new finite element for calculating the middle thickness of shells on the basis of a modification of three-dimensional isoparametric 8-node element through introduction of a hypothesis of infinitesimality of compression strains and usage of the technique of approximation order reduction. The method of double approximations on superconvergence points has been applied. Effectiveness of the given approach is shown on numerical examples.
Keywords: shell finite element, elastic strains, metric tensor, method of double approximation, hypothesis of infinitesimality of compression strains.
Received: 24.02.2009
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. I. Golovanov, M. K. Sagdatullin, “Three-dimensional finite element for analysis of thin-shell constructions”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 3, Kazan University, Kazan, 2009, 121–129
Citation in format AMSBIB
\Bibitem{GolSag09}
\by A.~I.~Golovanov, M.~K.~Sagdatullin
\paper Three-dimensional finite element for analysis of thin-shell constructions
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 3
\pages 121--129
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku791}
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