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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 4, Pages 152–159 (Mi pmtf1053)  

Generalization of the Prandtl problem for a creep model

S. E. Aleksandrova, E. A. Lyaminaa, N. M. Tuanb

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b Institute of Mechanics, 264, Hanoi, Vietnam
Abstract: An approximate solution to the problem of compression of an infinite layer of material between rough parallel plates is constructed with the creep equations being fulfilled. Constitutive relations in accordance with which the equivalent stress tends to a finite value as the equivalent strain rate tends to infinity are used. The behavior of the solution in the neighborhood of the maximum friction surface is studied. It is shown that the existence of the solution depends on one of the parameters included in the constitutive equations. If the solution exists, the equivalent strain rate tends to infinity in the neighborhood of the maximum friction surface, and the asymptotic behavior of the solution depends on the same parameter. It is established that there is a range of this parameter in which the nature of the change in the equivalent strain rate near the maximum friction surface is the same as in the solutions for rigid plastic materials.
Keywords: creep, Prandtl problem, infinite layer of material, friction surface.
Received: 30.05.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 4, Pages 682–688
DOI: https://doi.org/10.1134/S0021894414040142
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: Russian
Citation: S. E. Aleksandrov, E. A. Lyamina, N. M. Tuan, “Generalization of the Prandtl problem for a creep model”, Prikl. Mekh. Tekh. Fiz., 55:4 (2014), 152–159; J. Appl. Mech. Tech. Phys., 55:4 (2014), 682–688
Citation in format AMSBIB
\Bibitem{AleLyaTua14}
\by S.~E.~Aleksandrov, E.~A.~Lyamina, N.~M.~Tuan
\paper Generalization of the Prandtl problem for a creep model
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 4
\pages 152--159
\mathnet{http://mi.mathnet.ru/pmtf1053}
\elib{https://elibrary.ru/item.asp?id=21946376}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 4
\pages 682--688
\crossref{https://doi.org/10.1134/S0021894414040142}
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