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IssuesArchive of Issues2016-2pp.197-205

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L.V. Kovtanyuk and G.L. Panchenko, "Straight Flow in an Elastoviscoplastic Cylindrical Layer with Possible Two-Sided Slip," Mech. Solids. 51 (2), 197-205 (2016)
Year 2016 Volume 51 Number 2 Pages 197-205
DOI 10.3103/S0025654416020072
Title Straight Flow in an Elastoviscoplastic Cylindrical Layer with Possible Two-Sided Slip
Author(s) L.V. Kovtanyuk (Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia, lk@iacp.dvo.ru)
G.L. Panchenko (Vladivostok State University of Economics and Service, ul. Gogolya 41, Vladivostok, 690014 Russia, panchenko.21@yandex.ru)
Abstract The solution of the boundary value problem of the theory of large strains dealing with the viscoplastic flow of an elastoviscoplastic material in the gap between two rigid coaxial cylindrical surfaces in the case of motion of the inner surface is obtained under the assumption that the material can slip on both surfaces. The reversible deformation, the development of a viscoplastic flow in the cases of uniformly accelerated and constant-velocity motions of the surface, the flow deceleration in the case of uniformly decelerated motion of the surface until full stop, and the unloading of the medium are considered.
Keywords large strains, viscosity, plasticity, elasticity
References
1.  V. P. Myasnikov, "Some Exact Solutions for Rectilinear Motions of a Viscoplastic Medium," Zh. Prikl. Mekh. Tekhn. Fiz., No. 2, 54-60 (1961) [J. Appl. Mech. Tech. Phys. (Engl. Transl.)].
2.  G. I. Bykovtsev and A. D. Chernyshov, "On Viscoplastic Flow in Noncircular Cylinders with Pressure Drop," Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 94-96 (1964) [J. Appl. Mech. Tech. Phys. (Engl. Transl.)].
3.  P. P. Mosolov and V. P. Myasnikov, Mechanics of Rigidplastic Media (Nauka, Moscow, 1981) [in Russian].
4.  L. V. Kovtanyuk, "On the Forcing of an Elastocviscoplastic Material through an Inflexible Circular Cylindrical Die," Dokl. Ross. Akad. Nauk 400 (6), 764-0766 (2005) [Dokl. Phys. (Engl. Transl.) 50 (2), 112-114 (2005)].
5.  A. A. Burenin and L. V. Kovtanyuk, "On Elastic Strains and Viscoplastic Flow in a Heavy Layer Placed on an Inclined Plane," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 158-170 (2010) [Mech. Solids (Engl. Transl.) 45 (2), 284-294 (2010)].
6.  A. A. Burenin, L. V. Kovtanyuk, and A. S. Ustinova, "Accounting for the Elastic Properties of a Non-Newtonian Material under Its Viscometric Flow," Zh. Prikl. Mekh. Tekhn. Fiz. 49 (2), 143-151 (2008) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 49 (2), 277-284 (2008)].
7.  A. A. Burenin, L. V. Kovtanyuk, and A. L. Mazelis, "Development of a Rectilinear Axisymmetric Viscoplastic Flow and Elastic Aftereffect after Its Stop," Zh. Prikl. Mekh. Tekhn. Fiz. 51 (2), 140-147 (2010) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 51 (2), 261-268 (2010)].
8.  A. A. Burenin, G. I. Bykovtsev, and L. V. Kovtanyuk, "A Simple Model of Finite Strain in an Elastoplastic Medium," Dokl. Ross. Akad. Nauk 347 (2), 199-201 (1996) [Dokl. Phys. (Engl. Transl.) 41 (3), 127-129 (1996)].
9.  L. V. Kovtanyuk and A. V. Shitikov, "On the Theory of Large Elastoplastic Strains of Materials with Temperature and Rheological Effects Taken into Account," Vestnik DVO RAN, No. 4, 87-93.
10.  G. L. Panchenko, "On Straight Flow in Elastoviscoplastic Cylindrical Layer with One-Sided Adhesion," Vych. Mekh. Sploshn. Sred 4 (4), 86-96 (2011).
Received 06 February 2014
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