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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 6, Pages 186–192 (Mi pmtf1851)  
Solving the problem of expansion and extension of a hollow cylinder with the use of the gradient plasticity theory

S. E. Aleksandrov, E. A. Lyamina

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
Full-text PDF (205 kB)
Abstract: An exact solution of the problem of expansion and extension of a hollow cylinder, which generalizes the known solutions based on the classical and gradient theories of plasticity under plane strain conditions, is obtained. The numerical solution reduces to calculating several ordinary integrals. The effect of the characteristic size of the material on the solution behavior near the cylinder orifice is studied.
Keywords: stress concentrator, characteristic size, gradient theory of plasticity.
Received: 14.05.2008
Accepted: 28.11.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 6, Pages 1071–1076
DOI: https://doi.org/10.1007/s10808-009-0143-6
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: Russian
Citation: S. E. Aleksandrov, E. A. Lyamina, “Solving the problem of expansion and extension of a hollow cylinder with the use of the gradient plasticity theory”, Prikl. Mekh. Tekh. Fiz., 50:6 (2009), 186–192; J. Appl. Mech. Tech. Phys., 50:6 (2009), 1071–1076
Citation in format AMSBIB
\Bibitem{AleLya09}
\by S.~E.~Aleksandrov, E.~A.~Lyamina
\paper Solving the problem of expansion and extension of a hollow cylinder with the use of the gradient plasticity theory
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 6
\pages 186--192
\mathnet{http://mi.mathnet.ru/pmtf1851}
\elib{https://elibrary.ru/item.asp?id=16227850}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 6
\pages 1071--1076
\crossref{https://doi.org/10.1007/s10808-009-0143-6}
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