The Subsurface Stress Field Caused by Both Normal Loading and Tangential Loading

  • Koo Young- Phi (Mechanical Material & Parts Center Busan Techno-Park) ;
  • Kim Tae-Wan (Nanotribology Laboratory, Ohio State University) ;
  • Cho Yong-Joo (School of Mechanical Engineering, Pusan National University)
  • Published : 2005.11.01

Abstract

The subsurface stress field caused by both normal loads and tangential loads has been evaluated using the rectangular patch solution. The effect of tangential loading on the subsurface stress field has been investigated in detail for both the cylinder-on-cylinder contact and a spur gear teeth contact. For the cylinder-on-cylinder contact, the subsurface stress fields are moved more to the direction of tangential loads and the positions where the maximum stress occur are getting closer to the surface with the increasing tangential loads. The subsurface stress fields of the gear teeth contact are expanded more widely to the direction of tangential loads with the increasing tangential loads. The friction coefficient of a gear teeth contact is low because they are operated in a lubricated condition, and therefore surface tractions in the EHL condition hardly affect on the subsurface stress field.

Keywords

References

  1. Ahmadi, N., Keer, L. M., Mura, T. and Vithoontien, V., 1987, 'The Interior Stress Field Caused by Tangential loading of a Rectangular Patch on an Elastic Half Space,' ASME J. of Tribology, Vol. 109, pp.627-629 https://doi.org/10.1115/1.3261522
  2. Boussinesq, J., 1885, Application de Potentials a l'etude de l'equilibr et du mouvement des solids e'lastiques. Paris : G authier-Villars. 45, p. 108
  3. Cerruti, V., 1882, Acc. Lincei. Mem.fis. mat., Roma. 13, p. 81
  4. Cho, Y.-J., Lee, M.-J. and Koo, Y.-P., 2000a, 'The Stress Field in the Body by Tangential Loading of a Rectangular Patch on a Semi-Infinite Solid,' KSME, (in Korean), Series A, Vol. 24, No. 4, pp. 1032-1038
  5. Cho, Y.-J., Koo, Y.-P. and Kim, T.-W., 2000b, 'A New FFT Technique for the Analysis of Contact Pressure and Subsurface Stress in a Semi-Infinite Solid,' KSME International J., Vol. 14, No.3, pp. 331-337 https://doi.org/10.1007/BF03186426
  6. Elsharkawy, A. A., 1999, 'Effect of Friction on Subsurface Stresses in Sliding Line Contact of Multilayered Elastic Solids,' International J. of Solids and Structures, Vol.36, pp. 3903-3915 https://doi.org/10.1016/S0020-7683(98)00180-2
  7. Hertz, H., 1896, Miscellaneous Papers on the Contact of Elastic Solids, Translated by D. E. Johns, McMillan, London
  8. Johnson, K. L., 1985, Contact mechanics, Chap. 4, pp. 90-104, Cambridge university press
  9. Kalker, J. J., 1986, 'Numerical Calculation of the Elastic Field in a Half-Space,' Communications in Applied Numerical Method, Vol. 200, pp.401-410 https://doi.org/10.1002/cnm.1630020412
  10. Koo, Y.-P., 2004, 'Transient EHL Analysis on Spur Gear Teeth with Consideration of Gear Kinematics,' KSME International J., Vol. 18, No. 8, pp. 1319-1326 https://doi.org/10.1007/BF02984246
  11. Love, A. E. H., 1929, 'Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary,' Phil. Trans. Royal Society, A228, pp.377-420
  12. Mihailidis, A., Bakolas, V. and Drivakos, N., 2001, 'Subsurface Stress Field of a Dry Line Contact,' Wear, Vol. 249, pp. 546-556 https://doi.org/10.1016/S0043-1648(01)00542-7
  13. Peng, W. and Bhushan, B., 2001, 'Three-dimensional Contact Analysis of Layered Elastic/Plastic Solids with Rough Surfaces,' Wear, Vol. 249, pp. 741-760 https://doi.org/10.1016/S0043-1648(01)00692-5
  14. Rabinowicz, E., 1995, Friction and Wear of Materials, Chap. 1, pp. 5-6, John Wiley & Sons, Inc
  15. Yu, M. M. -H. and Bhushan, B., 1996, 'Contract Analysis of Three-dimensional Rough Surfaces Under Frictionless and Frictional Contact,' Wear, Vol. 200, pp. 265-280 https://doi.org/10.1016/S0043-1648(96)07313-9