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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 5, Pages 187–195 (Mi timm621)  
This article is cited in 3 scientific papers (total in 3 papers)

On stability of biaxial tension of a square plate in a gradient mechanical system

V. V. Struzhanov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences
Full-text PDF (253 kB) Citations (3)
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Abstract: The paper deals with the problem of stability of a biaxial tension process of a square plate made from nonlinear material. The load is applied through two ideal elastic rods. The bifurcation sets and the separatrix of this gradient mechanical system are determined. The stability of deformation process is studied by the method of constructing of the discriminantal cone for the Hesse matrix of the system potential function.
Keywords: nonconvex potential, Hesse matrix, bifurcations, separatrix, discriminantal cone, stability of deformation process.
Received: 04.02.2010
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. V. Struzhanov, “On stability of biaxial tension of a square plate in a gradient mechanical system”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 187–195
Citation in format AMSBIB
\Bibitem{Str10}
\by V.~V.~Struzhanov
\paper On stability of biaxial tension of a~square plate in a~gradient mechanical system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 5
\pages 187--195
\mathnet{http://mi.mathnet.ru/timm621}
\elib{https://elibrary.ru/item.asp?id=15265845}
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  • https://www.mathnet.ru/eng/timm/v16/i5/p187
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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