An LT-FFT based model for diffusion-affected contacts

Xin Zhang, Q. Jane Wang*, Zhi Zeng, Yichuan Wu, Bei Peng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


This work aims at a time-dependent contact model for the diffusion-affected interactions at the contacting interface between a rigid cylinder and a half-plane. The closed-form frequency response functions (FRFs) of species concentration, displacements, and stresses, are derived by using the Fourier-Laplace integral transforms. The mathematical solutions are so formulated that the fast numerical techniques can be utilized, including the combined Laplace-Talbot and discrete convolution-fast Fourier transform (LT-FFT) algorithms, and the conjugate gradient method (CGM). Numerical results reveal the mechanisms of diffusion-affected contact and diffusion-induced contact transition. A method to determine the critical diffusion flux density to contact instability is suggested and the limiting diffusion flux density without contact transition is identified.

Original languageEnglish (US)
Article number106890
JournalTribology International
StatePublished - May 2021


  • Critical diffusion flux
  • Diffusion-induced contact transition
  • Laplace-Fourier transforms
  • Limiting diffusion flux
  • Transient contact

ASJC Scopus subject areas

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


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