TY - JOUR
T1 - Effect of the finite size of generated rough surfaces on the percolation threshold
AU - Yang, Zhimeng
AU - Ding, Xiaoyu
AU - Liu, Jianhua
AU - Zhang, Feikai
N1 - Publisher Copyright:
© IMechE 2019.
PY - 2019/8/1
Y1 - 2019/8/1
N2 - 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.
AB - 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.
KW - Autocorrelation length
KW - CG-FFT
KW - Gaussian isotropic rough surface
KW - percolation threshold
KW - sealing
UR - http://www.scopus.com/inward/record.url?scp=85067838326&partnerID=8YFLogxK
U2 - 10.1177/0954406219854470
DO - 10.1177/0954406219854470
M3 - Article
AN - SCOPUS:85067838326
SN - 0954-4062
VL - 233
SP - 5897
EP - 5902
JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
IS - 16
ER -