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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 2, Pages 128–133 (Mi pmtf1468)  

Finite deformation of an ideal rigid-plastic membrane

A. A. Markin, S. A. Fursaev

Tula State University, Tula, 300600, Russia
Abstract: We consider finite deformation of a membrane which is a cylinder in the initial state under a pressure uniformly distributed over the inner surface. The problem is solved using the model of deformation of an incompressible rigid-plastic material with full plasticity. Exact analytical relations are obtained for the pressure and kinematic characteristics as functions of the rotation angle of the normal on the contour of the shell. Elongations and displacements are found as functions of the radial coordinate. The time of reaching the maximum value of the external pressure is determined. It is shown that the change in the membrane thickness along the radial coordinate is constant.
Keywords: membrane, full plasticity, finite deformations.
Received: 03.03.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 2, Pages 264–269
DOI: https://doi.org/10.1134/S0021894411020143
Bibliographic databases:
Document Type: Article
UDC: 538.324
Language: Russian
Citation: A. A. Markin, S. A. Fursaev, “Finite deformation of an ideal rigid-plastic membrane”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 128–133; J. Appl. Mech. Tech. Phys., 52:2 (2011), 264–269
Citation in format AMSBIB
\Bibitem{MarFur11}
\by A.~A.~Markin, S.~A.~Fursaev
\paper Finite deformation of an ideal rigid-plastic membrane
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 128--133
\mathnet{http://mi.mathnet.ru/pmtf1468}
\elib{https://elibrary.ru/item.asp?id=16227887}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 264--269
\crossref{https://doi.org/10.1134/S0021894411020143}
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