 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| R. I. Nepershin, "Rolling and sliding of a rigid cylinder along the boundary of a rigid-plastic half-space," Mech. Solids. 39 (3), 81-93 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
3 |
Pages |
81-93 |
| Title |
Rolling and sliding of a rigid cylinder along the boundary of a rigid-plastic half-space |
| Author(s) |
R. I. Nepershin (Moscow) |
| Abstract |
A numerical solution is obtained for the problem of steady-state plane plastic flow of a rigid-plastic half-space 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 steady-state 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 |
| 1. | A. Yu. Ishlinskii, "Rolling friction," PMM [Applied Mathematics and Mechanics], Vol. 2, No. 2, pp. 245-260, 1938 (in Applied Problems of Mechanics. Volume 1 [in Russian], pp. 176-190, Nauka, Moscow, 1986). |
| 2. | A. Yu. Ishlinskii, "The slip in the contact region in the case of rolling friction," Izv. AN SSSR. OTN, No. 6, pp. 3-15, 1956 (in Applied Problems of Mechanics. Volume 2 [in Russian], pp. 182-199, Nauka, Moscow, 1986). |
| 3. | E. A. Marshall, "Rolling contact with plastic deformation," J. Mech. Phys. Solids, Vol. 16, No. 4, pp. 243-254, 1968. |
| 4. | I. F. Collins, "A simplified analysis of the rolling of
a cylinder on a rigid/perfectly plastic half-space,"
Intern. J. Mech. Sci., Vol. 14, No. 1, pp. 1-14, 1972. |
| 5. | M. Howell, G. T. Hahn, C. A. Rubin, and D. L. McDOwell,
"Finite element analysis of rolling contact for nonlinear
kinematic hardening bearing steel,"
Trans. ASME. J. Tribol., Vol. 117, No. 4, pp. 729-736, 1995. |
| 6. | M. Shiratori, M. Ito, and M. Hashimoto,
"Elastic-plastic analysis of rolling contact for surface
hardened steel,"
Trans. Jap. Soc. Mech. Eng., Ser. A, Vol. 61, No. 585,
pp. 1064-1069, 1995. |
| 7. | D. D. Ivlev, Theory of Perfect Plasticity [in Russian],
Nauka, Moscow, 1966. |
| 8. | A. I. Tselikov, Fundamentals of the Theory of Rolling [in Russian], Matallurgiya, Moscow, 1965. |
| 9. | B. A. Druyanov and R. I. Nepershin, Theory of Technological Plasticity [in Russian], Mashinostroenie, Moscow, 1990. |
| 10. | Druyanov and R. I. Nepershin,
Problems of Technological Plasticity,
Elsevier, Amsterdam, 1994. |
| 11. | C. G. Broyden, "A class of methods for solving nonlinear simultaneous equations," Math. Comput., Vol. 19, No. 92, pp. 577-593, 1965. |
| 12. | J. E. Dennis and R. B. Shnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations,
Prentice-Hall, Englewood Cliffs, NJ, 1983. |
| 13. | R. I. Nepershin, "Kinematically determinate problems of plane plastic flow of a rigid-plastic body," in Problems of Mechanics of Inelastic Deformations (to D. D. Ivlev's 70th birthday) [in Russian], pp. 245-259,
Formality, Moscow, 2001. |
|
| Received |
06 February 2002 |
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