Tribological modeling: Application of fast Fourier transform

Shuangbiao Liu*, Diann Hua, W. Wayne Chen, Q. Jane Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


The fast Fourier transform (FFT) technique is becoming an important tool in tribological modeling because an FFT-based algorithm can be extremely accurate and efficient. However, certain subtle issues should be properly dealt with so that efficient and accurate FFT implementation can be achieved. This paper discusses the use of three typical convolutions, two convolution theorems, influence coefficients, and shape functions, as well as the influence of domain size. This paper also explores the applications of FFT to inverse problems and periodic contacts and summarizes available FFT-based algorithms for solving various contact problems.

Original languageEnglish (US)
Pages (from-to)1284-1293
Number of pages10
JournalTribology International
Issue number8
StatePublished - Aug 2007


  • Contact problems
  • FFT
  • Modeling

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films


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