Table of Contents Author Guidelines Submit a Manuscript
Advances in Tribology
Volume 2012, Article ID 472794, 8 pages
http://dx.doi.org/10.1155/2012/472794
Research Article

Effect of Strain Hardening on Elastic-Plastic Contact of a Deformable Sphere against a Rigid Flat under Full Stick Contact Condition

Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India

Received 7 June 2011; Revised 25 October 2011; Accepted 27 November 2011

Academic Editor: Kambiz Farhang

Copyright © 2012 Biplab Chatterjee and Prasanta Sahoo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Hertz, “Über die Berührung fester elastischer Köper,” Journal für die Reine und Angewandte Mathematik, vol. 92, pp. 156–171, 1882. View at Google Scholar
  2. J. A. Greenwood and J. B. P. Williamson, “Contact of nominally flat surfaces,” Proceedings of the Royal Society of London. Series A, vol. 295, pp. 300–319, 1966. View at Google Scholar
  3. E. J. Abbott and F. A. Firestone, “Specifying surface quality—a method based on accurate measurement and comparison,” ASME Journal of Mechanical Engineering, vol. 55, pp. 569–572, 1933. View at Google Scholar
  4. W. R. Chang, I. Etsion, and D. B. Bogy, “An elastic-plastic model for the contact of rough surfaces,” ASME Journal of Tribology, vol. 109, no. 2, pp. 257–263, 1987. View at Google Scholar · View at Scopus
  5. D. G. Evseev, B. M. Medvedev, and G. G. Grigoriyan, “Modification of the elastic-plastic model for the contact of rough surfaces,” Wear, vol. 150, no. 1-2, pp. 79–88, 1991. View at Google Scholar · View at Scopus
  6. W. R. Chang, “An elastic-plastic contact model for a rough surface with an ion-plated soft metallic coating,” Wear, vol. 212, no. 2, pp. 229–237, 1997. View at Google Scholar · View at Scopus
  7. Y. Zhao, D. M. Maietta, and L. Chang, “An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow,” ASME Journal of Tribology, vol. 122, no. 1, pp. 86–93, 2000. View at Publisher · View at Google Scholar · View at Scopus
  8. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York, NY, USA, 3rd edition, 1970.
  9. K. L. Johnson, “One hundred years of Hertz contact,” Proceedings of the Institution of Mechanical Engineers, vol. 196, no. 1, pp. 363–378, 1982. View at Publisher · View at Google Scholar
  10. R. D. Mindlin, “Compliance of elastic bodies in contact,” ASME Journal of Applied Mechanics, vol. 16, pp. 259–268, 1949. View at Google Scholar
  11. M. D. Bryant and L. M. Keer, “Rough contact between elastically and geometrically identical curved bodies,” ASME Journal of Applied Mechanics, vol. 49, no. 2, pp. 345–352, 1982. View at Google Scholar · View at Scopus
  12. G. M. Hamilton, “Explicit equations for the stresses beneath a sliding spherical contact,” Proceedings of the Institution of Mechanical Engineers, vol. 197, pp. 53–59, 1983. View at Publisher · View at Google Scholar · View at Scopus
  13. W. R. Chang, I. Etsion, and D. B. Bogy, “Static friction coefficient and model for metallic rough surfaces,” Journal of Tribology, vol. 110, no. 1, pp. 57–63, 1988. View at Google Scholar · View at Scopus
  14. R. Vijaywargiya and I. Green, “A finite element study of the deformations, forces, stress formations, and energy losses in sliding cylindrical contacts,” International Journal of Non-Linear Mechanics, vol. 42, no. 7, pp. 914–927, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. V. Boucly, D. Nelias, and I. Green, “Modeling of the rolling and sliding contact between two asperities,” Journal of Tribology, vol. 129, no. 2, pp. 235–245, 2007. View at Publisher · View at Google Scholar · View at Scopus
  16. R. L. Jackson, R. S. Duvvuru, H. Meghani, and M. Mahajan, “An analysis of elasto-plastic sliding spherical asperity interaction,” Wear, vol. 262, no. 1-2, pp. 210–219, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. L. E. Goodman, “Contact stress analysis of normally loaded rough spheres,” ASME Journal of Applied Mechanics, vol. 29, no. 3, pp. 515–522, 1962. View at Google Scholar
  18. D. A. Spence, “Self-similar solutions to adhesive contact problems with incremental loading,” Proceedings of the Royal Society of London A, vol. 305, pp. 55–80, 1968. View at Google Scholar
  19. D. A. Spence, “The Hertz contact problem with finite friction,” Journal of Elasticity, vol. 5, no. 3-4, pp. 297–319, 1975. View at Publisher · View at Google Scholar · View at Scopus
  20. P. Sahoo, D. Adhikary, and K. Saha, “Finite element based elastic-plastic contact of fractal surfaces considering strain hardening,” Journal of Tribology and Surface Engineering, vol. 1, no. 1-2, pp. 39–56, 2010. View at Google Scholar
  21. L. Kogut and I. Etsion, “Elastic-plastic contact analysis of a sphere and a rigid flat,” ASME Journal of Applied Mechanics, vol. 69, no. 5, pp. 657–662, 2002. View at Publisher · View at Google Scholar · View at Scopus
  22. R. L. Jackson and I. Green, “A finite element study of elasto-plastic hemispherical contact against a rigid flat,” ASME Journal of Tribology, vol. 46, no. 2, pp. 383–390, 2003. View at Publisher · View at Google Scholar · View at Scopus
  23. J. J. Quicksall, R. L. Jackson, and I. Green, “Elasto-plastic hemispherical contact models for various mechanical properties,” Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, vol. 218, pp. 313–322, 2004. View at Publisher · View at Google Scholar
  24. S. Shankar and M. M. Mayuram, “A finite element based study on the elastic-plastic transition behavior in a hemisphere in contact with a rigid flat,” Journal of Tribology, vol. 130, no. 4, Article ID 044502, 6 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  25. S. Shankar and M. M. Mayuram, “Effect of strain hardening in elastic-plastic transition behavior in a hemisphere in contact with a rigid flat,” International Journal of Solids and Structures, vol. 45, no. 10, pp. 3009–3020, 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. R. Malayalamurthi and R. Marappan, “Elastic-plastic contact behavior of a sphere loaded against a rigid flat,” Mechanics of Advanced Materials and Structures, vol. 15, no. 5, pp. 364–370, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. P. Sahoo, B. Chatterjee, and D. Adhikary, “Finite element based elastic-plastic contact behavior of a sphere against a rigid flat- effect of strain hardening,” International Journal of Engineering, Science and Technology, vol. 2, no. 1, pp. 1–6, 2010. View at Google Scholar
  28. P. Sahoo and B. Chatterjee, “A finite element study of elastic-plastic hemispherical contact behavior against a rigid flat under varying modulus of elasticity and sphere radius,” Engineering, vol. 2, no. 4, pp. 205–211, 2010. View at Publisher · View at Google Scholar
  29. K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, Mass, USA, 1985.
  30. K. L. Johnson, J. J. O’ Conner, and A. C. and Woodward, “The effect of the indenter elasticity on the Hertzian fracture of brittle materials,” Proceedings of the Royal Society of London A, vol. 334, no. 1596, pp. 95–117, 1973. View at Google Scholar
  31. V. Brizmer, Y. Kligerman, and I. Etsion, “The effect of contact conditions and material properties on the elasticity terminus of a spherical contact,” International Journal of Solids and Structures, vol. 43, no. 18-19, pp. 5736–5749, 2006. View at Publisher · View at Google Scholar · View at Scopus
  32. V. Brizmer, Y. Kligerman, and I. Etsion, “The effect of contact conditions and material properties on elastic-plastic spherical contact,” Journal of Mechanics of Materials and Structures, vol. 1, no. 5, pp. 865–879, 2006. View at Google Scholar
  33. Y. Zait, Y. Kligerman, and I. Etsion, “Unloading of an elastic-plastic spherical contact under stick contact condition,” International Journal of Solids and Structures, vol. 47, no. 7-8, pp. 990–997, 2010. View at Publisher · View at Google Scholar · View at Scopus
  34. Y. Kadin, Y. Kligerman, and I. Etsion, “Multiple loading-unloading of an elastic-plastic spherical contact,” International Journal of Solids and Structures, vol. 43, no. 22-23, pp. 7119–7127, 2006. View at Publisher · View at Google Scholar · View at Scopus
  35. D. Tabor, “Junction growth in metallic friction: the role of combined stresses and surface contamination,” Proceedings of the Royal Society of London. Series A, vol. 251, no. 1266, pp. 378–393, 1959. View at Publisher · View at Google Scholar
  36. F. Wang and L. M. Keer, “Numerical simulation for three dimensional elastic-plastic contact with hardening behavior,” Journal of Tribology, vol. 127, no. 3, pp. 494–502, 2005. View at Publisher · View at Google Scholar · View at Scopus
  37. Y. Zait, V. Zolotarevsky, Y. Klingerman, and I. Etsion, “Multiple normal loading-unloading cycles of a spherical contact under stick contact condition,” Journal of Tribology, vol. 132, no. 4, Article ID 041401, 7 pages, 2010. View at Publisher · View at Google Scholar
  38. A. Ovcharenko, G. Halperin, G. Verberne, and I. Etsion, “In situ investigation of the contact area in elastic-plastic spherical contact during loading-unloading,” Tribology Letters, vol. 25, no. 2, pp. 153–160, 2007. View at Publisher · View at Google Scholar · View at Scopus
  39. V. Zolotarevskiy, Y. Kligerman, and I. Etsion, “Elastic-plastic spherical contact under cyclic tangential loading in pre-sliding,” Wear, vol. 270, no. 11-12, pp. 888–894, 2011. View at Publisher · View at Google Scholar · View at Scopus