Skip to main content
Log in

A new FFT technique for the analysis of contact pressure and subsurface stress in a semi-infinite solid

  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

A numerical procedure for contact analysis and calculating subsurface stress was developed. The procedure takes the advantage of signal processing technique in frequency domain to achieve shorter computing time. Boussinesq’s equation was adopted as a response function in contact analysis. The validity of this procedure was proved by comparing the numerical results with the exact solutions. The fastness of this procedure was also compared with other algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Anderson, T., 1982, “The Second Generation Boundary Element Contact Problem,” Boundary elements in Engineering,Proceedings of Forth International Seminar, Southampton, England,

  • Bailey, D. M., and Sayles R. S., 1991, “Effect of Roughness and Sliding Friction on Contact Stresses,”ASME Journal of Tribology, Vol. 113, pp. 729–738.

    Article  Google Scholar 

  • Bush, A. W., Gibson, R. D. and Thomas, T. R., 1975, “The Elastic Contact of a Rough Surface,”Wear, Vol. 35, pp. 87–111

    Article  Google Scholar 

  • Greenwood, J. A., and Williamson, J. B. P., 1966, “Contact of Nominally Flat Surfaces,”Proceedings of the Royal Society of London, Vol. A295, pp. 300–319.

    Google Scholar 

  • Hertz, H., 1882 “Über die Ber hrung fester elastischer Körper,”J. reine und angewandte Mathematik, Vol. 92, pp. 156–171

    Article  Google Scholar 

  • Johnson, K. L., 1985, “Contact Mechanics,” Cambridge University Press

  • Ju, Y., and Farris, T. N., 1996, “Spectral Analysis of Two-Dimensional Contact Problems,”ASME Journal of Tribology, Vol. 118, pp. 320–328.

    Article  Google Scholar 

  • Kwak, B. M., 1990, “Numerical Implement of Mechanical Engineering,”KSME Iournal, Vol. 4, No. 1, pp. 23–31

    Google Scholar 

  • Kalker, J. J., and van Randen, Y., 1972, “A Minimum Principle for Frictionless Elastic Contact with Application to Non-Hertzian Half Space Contact problems,”J. of Eng. Math., Vol. 6, pp. 193–206

    Article  MATH  Google Scholar 

  • Komvopoulous, K. and Choi, D. H., 1992, “Elastic Finite Element Analysis of Multi-Asperity Contact,”ASME Journal of Tribology, Vol. 114, pp. 823–831

    Article  Google Scholar 

  • Lai, W. T. and Cheng, H. S. 1985, “Computer Simulation of Elastic Rough Contacts,”ASLE Transaction, Vol. 28, pp. 172–180.

    Google Scholar 

  • Love, A. E. H., 1929, “The Stress Produced in a Semi-infinite Solid by Pressure on Part of the Boundary,”Phil. Trans. Royal Society, Vol. A228, pp. 377–420.

    Article  Google Scholar 

  • Lunderberg, G. and Sj vall, H. 1958, “Stress and Deformation in Elastic Solids,” Pub. No. 4 Inst. Th. of Elast., Chalmers University of Technology, Göteborg, Sweden which is referred in “Contact mechanics” by Johnson, K. L., (1985)

  • Ren, N., and Lee, S. C., 1993, “Contact Simulation of Three-Dimensional Rough Surfaces Using Moving Grid Method,”ASME Journal of Tribology, Vol. 115, pp. 597–601.

    Article  Google Scholar 

  • Stanley, H. M., and Kato, T., 1997, “An FFT-Based Method for Rough Surface Contact,”ASME Journal of Tribology, Vol. 119, pp. 481–485.

    Article  Google Scholar 

  • Suh, N. P., 1977, “An Overview of the Delamination Theory of Wear,”Wear, Vol. 44, pp. 1–16.

    Article  Google Scholar 

  • Tian, X., and Bhushan, B., 1996, “A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle,”ASME Journal of Tribology, Vol. 118, pp. 33–42.

    Article  Google Scholar 

  • Webster, M. N., and Sayles, R. S., 1986, “A Numerical Model for the Elastic Frictionless Contact of Real Surfaces,”ASME Journal of Tribology, Vol. 108, pp. 314–320

    Article  Google Scholar 

  • Westergaard, H. M., 1939, “Bearing Pressures and Cracks,”ASME Journal of Applied Mechanics, Vol. 6, pp. A49-A53.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yong-Joo Cho.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cho, YJ., Koo, YP. & Kim, TW. A new FFT technique for the analysis of contact pressure and subsurface stress in a semi-infinite solid. KSME International Journal 14, 331–337 (2000). https://doi.org/10.1007/BF03186426

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03186426

Key Words

Navigation