  Mechanics of Solids A Journal of Russian Academy of Sciences   Founded
in January 1966
Issued 6 times a year
Print ISSN 00256544 Online ISSN 19347936 
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R. I. Nepershin, "Rolling and sliding of a rigid cylinder along the boundary of a rigidplastic halfspace," Mech. Solids. 39 (3), 8193 (2004) 
Year 
2004 
Volume 
39 
Number 
3 
Pages 
8193 
Title 
Rolling and sliding of a rigid cylinder along the boundary of a rigidplastic halfspace 
Author(s) 
R. I. Nepershin (Moscow) 
Abstract 
A numerical solution is obtained for the problem of steadystate plane plastic flow of a rigidplastic halfspace along the boundary of which a smooth or rough rigid cylinder is rolling and sliding. The change in the shape of the plastic region and the contact arc is shown as depending on the force and torque applied to the cylinder. The limiting values of the contact arc that allow steadystate plastic flow are determined as depending on the magnitude and direction of the shear stresses due to contact friction. This problem is of interest for the theory of rolling friction and the technology of surface plastic deformation of materials by means of rolling and drawing. 
References 
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2.  A. Yu. Ishlinskii, "The slip in the contact region in the case of rolling friction," Izv. AN SSSR. OTN, No. 6, pp. 315, 1956 (in Applied Problems of Mechanics. Volume 2 [in Russian], pp. 182199, Nauka, Moscow, 1986). 
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Nauka, Moscow, 1966. 
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10.  Druyanov and R. I. Nepershin,
Problems of Technological Plasticity,
Elsevier, Amsterdam, 1994. 
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12.  J. E. Dennis and R. B. Shnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations,
PrenticeHall, Englewood Cliffs, NJ, 1983. 
13.  R. I. Nepershin, "Kinematically determinate problems of plane plastic flow of a rigidplastic body," in Problems of Mechanics of Inelastic Deformations (to D. D. Ivlev's 70th birthday) [in Russian], pp. 245259,
Formality, Moscow, 2001. 

Received 
06 February 2002 
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