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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 2, Pages 156–172 (Mi pmtf1471)  
Modeling of dynamic deformation of rigid-plastic doubly connected plates with arbitrary fixed curvilinear contours on a viscoelastic foundation

Yu. V. Nemirovskii, T. P. Romanova

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (322 kB)
Abstract: A general solution is obtained for the problem of dynamic bending of an ideal rigid-plastic doubly connected plate with arbitrary simply supported or clamped curvilinear contours subjected to short-time high-intensity explosive dynamic loading uniformly distributed over the surface. The plate rests on a viscoelastic foundation. It is demonstrated that there are several mechanisms of plate deformation. Equations of dynamic deformation are derived for each mechanism, and implementation conditions are analyzed. Numerical examples are given.
Keywords: rigid-plastic doubly connected plate, curvilinear contour, explosive load, limit load, final deflection.
Received: 11.06.2009
Accepted: 22.03.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 2, Pages 288–302
DOI: https://doi.org/10.1134/S0021894411020179
Bibliographic databases:
Document Type: Article
UDC: 539.4+539.37
Language: Russian
Citation: Yu. V. Nemirovskii, T. P. Romanova, “Modeling of dynamic deformation of rigid-plastic doubly connected plates with arbitrary fixed curvilinear contours on a viscoelastic foundation”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 156–172; J. Appl. Mech. Tech. Phys., 52:2 (2011), 288–302
Citation in format AMSBIB
\Bibitem{NemRom11}
\by Yu.~V.~Nemirovskii, T.~P.~Romanova
\paper Modeling of dynamic deformation of rigid-plastic doubly connected plates with arbitrary fixed curvilinear contours on a viscoelastic foundation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 156--172
\mathnet{http://mi.mathnet.ru/pmtf1471}
\elib{https://elibrary.ru/item.asp?id=16227890}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 288--302
\crossref{https://doi.org/10.1134/S0021894411020179}
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