Effect of the finite size of generated rough surfaces on the percolation threshold

Zhimeng Yang, Xiaoyu Ding, Jianhua Liu*, Feikai Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Percolation threshold is a very important parameter to estimate the sealing performance. Thus, it is crucial to determine the correct value of the percolation threshold for contact sealing surfaces. In this paper, we applied a numerical generation method, in which the autocorrelation length can be easily controlled, to obtain different Gaussian isotropic rough surfaces. Then, the contact status between a rigid flat half-space and numerically generated rough surfaces were calculated using the conjugate gradient-fast Fourier transform method. Based on the contact status, the percolation threshold was obtained using a search method. The calculated results established that the percolation threshold of A/A0 ≈ 0:48 is determined for Gaussian isotropic contacting rough surfaces. To obtain an exact value of the percolation threshold, the finite size of the generated rough surfaces should be six times greater than the autocorrelation length, and the autocorrelation length should not be smaller than 20 times the sampling interval.

Original languageEnglish
Pages (from-to)5897-5902
Number of pages6
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume233
Issue number16
DOIs
Publication statusPublished - 1 Aug 2019

Keywords

  • Autocorrelation length
  • CG-FFT
  • Gaussian isotropic rough surface
  • percolation threshold
  • sealing

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