Evolution of the real contact area of self-affine non-Gaussian surfaces

Sabino, T. Silva; Carneiro, A.M. Couto; Carvalho, R. Pinto; Pires, F.M. Andrade

doi:10.1016/j.ijsolstr.2023.112173

Cited by 4 publications

(4 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been stated in Refs. [36,45] that lower values of the shape parameter result in higher negative skewness and kurtosis values. For k w = 1.5, S sk and S ku are −1.07 and 4.39, respectively, and for k w = 2.0, S sk and S ku are −0.63 and 3.25, respectively [45].…”

Section: The Influence Of the Shape Parameter (K W )mentioning

confidence: 98%

“…[36,45] that lower values of the shape parameter result in higher negative skewness and kurtosis values. For k w = 1.5, S sk and S ku are −1.07 and 4.39, respectively, and for k w = 2.0, S sk and S ku are −0.63 and 3.25, respectively [45]. The value of the shape parameter, k w = 3.602, represents the case where asperity heights follow the Gaussian distribution (S sk = 0, S ku = 2.72) [43].…”

Section: The Influence Of the Shape Parameter (K W )mentioning

confidence: 98%

“…It is known that the correlation length (1/λ) provides the spatial information of rough surfaces [36]. Various engineering rough surfaces display the exponential form of the autocorrelation function (R(r) = σ 2 exp(−λ • |r|)) [36], and it has extensively been used for the numerical generation of isotropic rough surfaces [36,45]. The distribution of dimensionless asperity (P a ) and hydrodynamic pressure (P h ) along the X-axis for different correlation lengths is presented in Figure 7a.…”

Section: The Influence Of Correlation Length (1/λ)mentioning

confidence: 99%

“…As stated in Refs. [36,45], the wavelength ratio (∆ l/ ∆ s ) is related to lower and upper cut-off frequencies (q l and q s ), which have been used to define the width of the power spectrum of a rough surface. It has been suggested in Ref.…”

Section: The Influence Of the Wavelength Ratio (∆ L/ ∆ S )mentioning

confidence: 99%

See 3 more Smart Citations

The Influence of Non-Gaussian Roughness and Spectral Properties on Mixed Lubrication for Heavily Loaded Counterformal Contacts

Prajapati,

Björling

2024

Lubricants

View full text Add to dashboard Cite

The impact of non-Gaussian height distribution and spectral properties on the lubrication performance of counterformal (point) contacts is quantitatively studied (film parameter, Λ, and asperity load ratio, La) by developing a mixed lubrication model. The Weibull height distribution function and power spectral density (PSD) are used to generate artificial surface topographies (non-Gaussian and Gaussian, isotropic), as these surface topographies are found in many tribological components. The set of variables needed to parametrize and their effect on mixed lubrication is discussed, including the shape parameter, the autocorrelation length, the wavelength ratio, and the Hurst coefficient. It is revealed that a rough surface with a lower shape parameter exhibits higher hydrodynamic lift. The spectral properties (the autocorrelation length and the wavelength ratio) of rough surfaces significantly affect the film parameter and the hydrodynamic and asperity pressures. The film parameter is slightly influenced by the Hurst coefficient.

show abstract

Section: The Influence Of the Shape Parameter (K W )mentioning

confidence: 98%

Section: The Influence Of the Shape Parameter (K W )mentioning

confidence: 98%

Section: The Influence Of Correlation Length (1/λ)mentioning

confidence: 99%

Section: The Influence Of the Wavelength Ratio (∆ L/ ∆ S )mentioning

confidence: 99%

See 2 more Smart Citations

The Influence of Non-Gaussian Roughness and Spectral Properties on Mixed Lubrication for Heavily Loaded Counterformal Contacts

Prajapati,

Björling

2024

Lubricants

View full text Add to dashboard Cite

show abstract

Elastic Shakedown and Roughness Evolution in Repeated Elastic–Plastic Contact

Frérot,

Pastewka

2024

Tribol Lett

View full text Add to dashboard Cite

Surface roughness emerges naturally during mechanical removal of material, fracture, chemical deposition, plastic deformation, indentation, and other processes. Here, we use continuum simulations to show how roughness which is neither Gaussian nor self-affine emerges from repeated elastic–plastic contact of rough and rigid surfaces on a flat elastic–plastic substrate. Roughness profiles change with each contact cycle, but appear to approach a steady-state long before the substrate stops deforming plastically and has hence “shaken-down” elastically. We propose a simple dynamic collapse for the emerging power-spectral density, which shows that the multi-scale nature of the roughness is encoded in the first few indentations. In contrast to macroscopic roughness parameters, roughness at small scales and the skewness of the height distribution of the resulting roughness do not show a steady-state. However, the skewness vanishes asymptotically with contact cycle. Graphical Abstract

show abstract