Research Article

Closed-Form Equations for Contact Force and Moment in Elastic Contact of Rough Surfaces

Table 1

The values of .

kc1,1,kc1,2,kc1,3,kc1,4,k

16.79643 × 103−1.32902 × 1046.43709 × 103−8.31116 × 102
2−2.71370 × 1035.30015 × 103−2.53736 × 1033.24476 × 102
33.53998 × 102−6.87494 × 1023.23027 × 102−4.07732 × 101
4−1.82659 × 1013.48897 × 101−1.60638 × 1012.00326 × 100
53.1917 × 10−1−6.00360 × 10−12.72020 × 10−1−3.35900 × 10−2

kc2,1,kc2,2,kc2,3,kc2,4,k

1−2.74514 × 1045.28941 × 104−2.46289 × 1043.05682 × 103
21.09554 × 104−2.10216 × 1049.65395 × 103−1.18604 × 103
3−1.36820 × 1032.73353 × 103−1.21540 × 1031.47538 × 102
47.35955 × 101−1.36314 × 1026.01116 × 101−7.20771 × 100
5−1.28057 × 1002.33444 × 100−1.01436 × 1001.20460 × 10−1

kc3,1,kc3,2,kc3,3,kc3,4,k

11.80741 × 104−3.37842 × 1041.49086 × 104−1.75153 × 103
2−7.20575 × 1031.33487 × 104−5.80095 × 1036.74219 × 102
39.37846 × 102−1.70451 × 1037.25202 × 102−8.31789 × 101
4−4.83447 × 1018.48724 × 101−3.56787 × 1014.02650 × 100
58.30100 × 10−1−1.45519 × 1005.99160 × 10−1−6.71400 × 10−2

kc4,1,kc4,2,kc4,3,kc4,4,k

1−2.80312 × 1035.05179 × 103−2.10227 × 1032.30629 × 102
21.11487 × 103−1.98646 × 1038.13468 × 102−8.81519 × 101
3−1.44454 × 1022.52229 × 102−1.01106 × 1021.07859 × 101
47.34839 × 100−1.25728 × 1014.94501 × 100−5.19150 × 10−1
5−1.26410 × 10−12.16950 × 10−1−8.31500 × 10−28.81712 × 10−3