Surface Plastic Deformation by Sliding Elliptical Cylinder
Abstract:

Steady state plastic flow of the ideal plastic half-space surface by sliding elliptical cylinder is numerically calculated with account of contact friction effect. Numerical solution of the plane strain hyperbolic differential equations with unknown contact pressure distribution is treated as nonlinear vector equation for the steady state plastic flow condition. Pronounced effect of the ellipse boundary curvature on the plastic flow mode is shown. Engineering application of the computer model is surface plastic deformation technology to improve wear and fatigue resistance of metal parts.

Cite this paper: Nepershin, R. (2015) Surface Plastic Deformation by Sliding Elliptical Cylinder. Journal of Materials Science and Chemical Engineering, 3, 1-7. doi: 10.4236/msce.2015.31001.
References

[1]   Howell, M., Hahn, G.T., Rubin, C.A. and McDowell, D.L. (1995) Finite Element Analysis of Rolling Contact for Non-linear Kinematic Hardening Bearing Steel. Journal of Tribology, 117, 729-736. http://dx.doi.org/10.1115/1.2831544

[2]   Shiratori, M., Ito, M. and Hashimoto, M. (1995) Elastic-Plastic Analysis of Rolling Contact for Surface Hardened Steel. Trans. Jap. Soc. Mech. Eng. A., 61, 1064-1069. http://dx.doi.org/10.1299/kikaia.61.1064

[3]   Hill, R. (1985) The Mathematical Theory of Plasticity. 11th Edition, Oxford University Press, Oxford.

[4]   Ishlinsky, A.Yu. and Ivlev, D.D. (2001) The Mathematical Theory of Plasticity. FIZMATLIT, Moscow.

[5]   Marshall, E.A. (1968) Rolling Contact with Plastic Deformation. Journal of the Mechanics and Physics of Solids, 16, 243-254. http://dx.doi.org/10.1016/0022-5096(68)90032-X

[6]   Collins, I.F. (1972) A Simplified Analysis of the Rolling of Cylinder on a Rigid/Perfectly Plastic Half-Space. International Journal of Mechanical Sciences, 14, 1-14. http://dx.doi.org/10.1016/0020-7403(72)90002-1

[7]   Nepershin, R.I. (2002) On Rolling and Sliding of a Cylinder along a Perfectly Plastic Half-Space with Allowance for Contact Friction. Doklady Physics, 47, 256-259. http://dx.doi.org/10.1134/1.1467875

[8]   Nepershin, R.I. (2003) The Rolling and Slipping of a Cylinder along the Boundary of an Ideally Plastic Half-Space. Journal of Applied Mathematics and Mechanics, 67, 293-301. http://dx.doi.org/10.1016/S0021-8928(03)90015-3

[9]   Nepershin, R.I. (2013) Plastic Deformation of Surface Layer during Rigid Cylinder Rolling and Sliding. Journal of Friction and Wear, 34, 204-207. http://dx.doi.org/10.3103/S1068366613030112

[10]   Nepershin, R.I. (2001) On Sliding of Obtuse Wedge along the Boundary of a Perfectly Plastic Half-Space. Doklady Physics, 46, 885- 887. http://dx.doi.org/10.1134/1.1433536

[11]   Druyanov, B.A. and Nepershin, R.I. (1994) Problems of Technological Plasticity. Elsevier, Amsterdam.

[12]   Dennis, J.E. and Shnabel, R.B. (1983) Numerical Methods for Unconstrained Opti-mization and Nonlinear Equations. Prentice-Hall, Englewood Cliffs.

[13]   Broyden, C.G. (1965) A Class of Methods for Solving Nonlinear Simultaneous Equations. Maths. Comp., 19, 577-593.

[14]   Nepershin, R.I. (2004) Rolling and Sliding of Rigid Cylinder along the Boundary of a Rigid-Plastic Half-Space. Mechanics of Solids, 39, 81-93.

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