A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses

S. Liu*, Q. Wang, G. Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

624 Scopus citations


The fast Fourier transform (FFT) technology has been introduced into the process of contact analyses. However, a problem may occur at the borders of the domain due to a periodic error involved. In order to obtain reasonable results, an expedient treatment requires a computational physical domain much larger than the target domain at the cost of calculation efficiency. This paper studies the source of the error and investigates the methods that can help avoid this error and improve the efficiency. Discrete convolution and FFT (DC-FFT) is first adopted instead of the method of continuous convolution and Fourier transform for the contact problems. A few approaches based on the DC-FFT method are presented and numerical results are compared. (C) 2000 Published by Elsevier Science S.A.

Original languageEnglish (US)
Pages (from-to)101-111
Number of pages11
Issue number1-2
StatePublished - Aug 2000


  • Contact analyses
  • Discrete convolution and FFT (DC-FFT)
  • Fourier transform

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry


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