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Contact analysis of spherical ball and a deformable flat model with the effect of tangent modulus

  • Sathish Gandhi, V.C. (Department of Mechanical Engineering, University College of Engineering Nagercoil, Anna University) ;
  • Ramesh, S. (Department of Mechanical Engineering, Sona College of Technology) ;
  • Kumaravelan, R. (Department of Mechanical Engineering, Velalar College of Engineering and Technology) ;
  • Thanmanaselvi, M. (Department of Civil Engineering, University College of Engineering Nagercoil, Anna University)
  • Received : 2012.01.17
  • Accepted : 2012.08.09
  • Published : 2012.10.10

Abstract

The paper is on contact analysis of a spherical ball with a deformable flat, considering the effect of tangent modulus on the contact parameters of a non-adhesive frictionless elastic-plastic contact. The contact analysis of this model has been carried out using analysis software Ansys and Abaqus. The contact parameters such as area of contact between two consecutive steps, volume of bulged material are evaluated from the formulated equations. The effect of the tangent modulus is considered for determining these parameters. The tangent modulus are accounted between 0.1E and 0.5E of materials E/Y value greater than 500 and less than 1750. Result shows that upto an optimal tangent modulus values the elastic core push up to the free surface in the flat. The simulation is also carried out in Abaqus and result provide evidence for the volume of bulged material in the contact region move up and flow into the free surface of the flat from the contact edge between the ball and flat. The strain energy of the whole model is varied between 20 to 40 percentage of the stipulated time for analysis.

Keywords

References

  1. ABAQUS User's Manual, Version 6.4, Abaqus Inc., 2006.
  2. Abbott, E.J. and Firestone, F.A. (1933), "Specifying surface quality - a method based on accurate measurement and compration", Mech. Eng. (Am. Soc. Mech. Eng.), 55, 569-572.
  3. Chang, W.R., Etsion, I. and Bogy, D.B. (1987), "An elastic-plastic model for the contact of rough surfaces", ASME J. Tribol., 109, 257-263. https://doi.org/10.1115/1.3261348
  4. Chang, W.R., Etsion, I. and Bogy, D.B. (1988), "Static friction co-efficient model for metallic rough surfaces", ASME J. Tribol., 110, 57-63. https://doi.org/10.1115/1.3261575
  5. Davis, J.R. (1999), Metals Handbook, 2nd Edition, ASM International, Metals Park, OH.
  6. Greenwood, J.A. and Williamson, J.B.P. (1966), "Contact of normally flat surfaces", Proc. R. Soc., 295, 300-319. https://doi.org/10.1098/rspa.1966.0242
  7. Hussein, A.T. (2011), "Elastic-plastic non linear behaviours of suddenly loaded structures", Am. J. Eng. Appl. Sci., 4, 89-92. https://doi.org/10.3844/ajeassp.2011.89.92
  8. Jackson, R.L. and Green, I. (2005), "A finite element study of elasto plastic hemispherical contact against a rigid flat", ASME. J. Tribol., 127, 343-354. https://doi.org/10.1115/1.1866166
  9. Johnson, K.L. (1985), Contact Mechanics, Cambridge University Press, Cambridge.
  10. Kogut, L. and Etsion, I. (2002), "Elastic-plastic contact analysis of a sphere and a rigid flat", ASME Tribol., 69, 657-662.
  11. Malayalamurthi, R. and Marappan, R. (2009), "Finite element study on the residual strain in asphere after unloading from the elastic plastic state", Int. J. Comput. Meth. Eng. Sci. Mech., 10, 277-281. https://doi.org/10.1080/15502280902939486
  12. Martin, F., Sevilla, L. and Bermudo, C. (2012), "Analytical approach to the indentation process. application of the upper bound element technique", Mater. Sci. Forum, 713, 13-18.
  13. Nakasone, Y., Stolarski, T.A. and Yoshimoto, S. (2006), Engineering Analysis with ANSYS Software, 1st Edition, Butterworth-Heinemann, Oxford, Burlington.
  14. Polin, L. and Lin, J.F. (2006), "A new method for elastic-plastic contact analysis of a deformable sphere and a rigid flat", ASME Tribol., 128, 221-229. https://doi.org/10.1115/1.2164469
  15. Shankar, S. and Mayuram, M.M. (2008), "A finite element based study on the elastic-plastic transition behavior in a hemisphere in contact with a rigid flat", ASME Tribol., 130, 044502-1-044502-6. https://doi.org/10.1115/1.2958081
  16. Spychalski, M., Wejrzanowski, T. and Kurzydlowski, K.J. (2007), "Materials hardness estimation by simulation of the indentation process", Solid State Phenomena, 129, 119-124. https://doi.org/10.4028/www.scientific.net/SSP.129.119
  17. Tabor, D. (1951), The Hardness of Metals, Clarendon Press, Oxford, UK.
  18. Tian, J. (2010), "Anisotropy influence of cubic solid on dynamic hertzian contact stiffness for a vibrating rigid indenter", Am. J. Eng. Appl. Sci., 3, 56-63. https://doi.org/10.3844/ajeassp.2010.56.63
  19. Tirupataiah, Y. and Sundararajan, G. (1987), "A comprehensive analysis of the static indentation process", J. Mater. Sci. Eng., 91, 169-180. https://doi.org/10.1016/0025-5416(87)90295-3

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