Table 1 The comparison of D and G obtained from the structural function method and empirical expression.

From: A revised elastic-plastic contact model of cycloidal pinwheel based on length scale

\({R_{\text{a}}}\left( {{\text{\varvec{\upmu}m}}} \right)\)

Empirical formulas

D and G

Structural function method

D and G

Relative error /%

0.2

1.635,\(2.36 \times {10^{ - 6}}\)

1.648,\(2.42 \times {10^{ - 5}}\)

0.80, 928

0.4

1.588,\(3.42 \times {10^{ - 6}}\)

1.598,\(4.68 \times {10^{ - 5}}\)

0.66, 1210

0.6

1.561,\(4.23 \times {10^{ - 6}}\)

1.570,\(6.52 \times {10^{ - 5}}\)

0.59, 1440

0.8

1.542,\(4.90 \times {10^{ - 6}}\)

1.551,\(8.61 \times {10^{ - 5}}\)

0.54, 1660