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Table 3 Comparison of [ξ] for surfaces with negative skewness (σ = 1, ϑ = − 2.3)

From: A Comparative Study on Asperity Peak Modeling Methods

Skewness

Correlation length

Method

ξavg

σ

\(\overline{\kappa }\)

η

−0.25

0

Three-point definition

0.8281

0.9931

1.1637

0.3330

Spectral moment approach

1.8214

0.6360

1.2382

0.2093

50

Three-point definition

0.2639

1.0830

1.2095

0.1971

Spectral moment approach

0.5281

1.0492

1.2715

0.1751

100

Three-point definition

0.2477

1.0463

1.2027

0.1998

Spectral moment approach

0.4235

1.1686

1.2940

0.1749

−0.5

0

Three-point definition

0.8268

0.9953

1.0846

0.3353

Spectral moment approach

1.8412

0.6351

1.2884

0.2094

50

Three-point definition

0.2151

1.0449

1.1001

0.2041

Spectral moment approach

0.5093

1.0311

1.2142

0.1752

100

Three-point definition

0.2102

1.0928

1.1747

0.1927

Spectral moment approach

0.3691

1.0696

1.2243

0.1742