A three-dimensional numerical model is presented to investigate the quasi-static sliding contact behavior of layered elastic/plastic solids with rough surfaces. The model is applicable for both single-asperity contact and multiple-asperity contacts. The surface deformation is obtained based on a variational principle. The surface and subsurface stresses in the layer and the substrate are determined with a Fast Fourier transformation (FFT) based scheme and von Mises and principal tensile stresses are computed accordingly. Contact statistics, such as fractional contact area, maximum pressure/E2 and relative meniscus force are predicted. The results are used to investigate the effect of the contact statistics on friction, stiction, and wear problems such as debris generation, brittle failure, and delamination of layered media. Optimum layer parameters are identified. It allows the specification of layer properties, according to the contact statistics, to reduce friction, stiction, and wear of materials. A normalization procedure is presented to apply the results on various combinations of surface roughness, material properties, and normal load.

1.
Bhushan, B., 1996, Tribology and Mechanics of Magnetic Storage Devices, 2nd ed., Springer-Verlag, New York.
2.
Bhushan
,
B.
,
1998
, “
Contact Mechanics of Rough Surfaces in Tribology: Multiple Asperity Contact
,”
Tribol. Lett.
,
4
, pp.
1
35
.
3.
Bhushan, B., 1999, Principles and Applications of Tribology, Wiley, New York.
4.
Mao
,
K.
,
Bell
,
T.
, and
Sun
,
Y.
,
1997
, “
Effect of Sliding Friction on Contact Stresses for Multi-Layered Elastic Bodies With Rough Surfaces
,”
ASME J. Tribol.
,
119
, pp.
476
480
.
5.
Nogi
,
T.
, and
Kato
,
T.
,
1997
, “
Influence of a Hard Surface Layer on the Limit of Elastic Contact: Part I—Analysis Using a Real Surface Model
,”
ASME J. Tribol.
,
119
, pp.
493
500
.
6.
Peng
,
W.
, and
Bhushan
,
B.
,
2001
, “
A Numerical Three-Dimensional Model for the Contact of Layered Elastic/Plastic Solids with Rough Surfaces by Variational Principle
,”
ASME J. Tribol.
,
123
, pp.
330
342
.
7.
Peng
,
W.
, and
Bhushan
,
B.
, “
Three-Dimensional Contact Analysis of Layered Elastic/Plastic Solids With Rough Surfaces
,”
Wear
,
249
, pp.
741
760
.
8.
O’Sullivan
,
T. C.
, and
King
,
R. B.
,
1988
, “
Sliding Contact Stress Field due to a Spherical Indenter on a Layered Elastic Half-Space
,”
ASME J. Tribol.
,
110
, pp.
235
240
.
9.
Tian
,
X.
, and
Bhushan
,
B.
,
1996
, “
A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle
,”
ASME J. Tribol.
,
118
, pp.
33
41
.
10.
Richards, T. H., 1997, Energy Methods in Stress Analysis: With An Introduction to Finite Element Techniques, Halsted Press, New York.
11.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1999, Numerical Recipes in FORTRAN, the Art of Scientific Computing, 2nd ed., Cambridge University Press, Cambridge, UK.
12.
Tian
,
X.
, and
Bhushan
,
B.
,
1996
, “
The Micro-Meniscus Effect of a Thin Liquid Film on the Static Friction of Rough Surface Contact
,”
J. Phys. D
,
29
, pp.
163
178
.
13.
Yu
,
M.
, and
Bhushan
,
B.
,
1996
, “
Contact Analysis of Three-Dimensional Rough Surfaces under Frictionless and Frictional Contact
,”
Wear
,
200
, pp.
265
280
.
14.
Peng
,
W.
, and
Bhushan
,
B.
,
2000
, “
Numerical Contact Analysis of Layered Rough Surfaces for Magnetic Head Slider-Disk Contact
,”
J. Info. Storage Proc. Syst.
,
22
, pp.
263
280
.
15.
Chilamakuri
,
S. K.
, and
Bhushan
,
B.
,
1998
, “
Contact Analysis of Non-Gaussian Random Surfaces
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
212
, pp.
19
32
.
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