Friction/stiction and wear are among the main issues in magnetic storage devices and microelectromechanical systems/nanoelectromechanical systems having contact interfaces. A numerical model which simulates the actual contact situations of those devices is needed to obtain optimum design parameters including materials with desired mechanical properties, layers thickness, and to predict and analyze the contact behavior of devices in operation. This study presents a first attempt to develop a numerical three-dimensional multilayered elastic–perfectly plastic rough solids model to investigate the contact behavior under combined normal loading and tangential traction. Energy method is used to formulate the problem, and variational principle in which the contact pressure distributions are those which minimize the total complementary potential energy is applied. A quasi-Newton method is used to find the minimum, and fast Fourier transform is applied to enhance the computation efficiency. In-depth analyses of the effects of friction force, layers properties, and layers thickness to contact statistics and stresses are performed. The optimum layer parameters which decrease friction/stiction and wear are investigated and identified.

1.
Bhushan
,
B.
, 2002,
Introduction to Tribology
,
Wiley
, New York.
2.
Bhushan
,
B.
, and
Gupta
,
B. K.
, 1991,
Handbook of Tribology: Materials, Coating and Surface Treatments
,
McGraw–Hill
, New York.
3.
Bhushan
,
B.
, 1996,
Tribology and Mechanics of Magnetic Storage Devices
, 2nd ed.,
Springer
, New York.
4.
Bhushan
,
B.
, 2001,
Principles of Tribology Modern Tribology Handbook, Vol. 1, Materials, Coatings, and Industrial Applications
, Vol.
2
,
CRC
, Boca Raton, FL.
5.
Burmister
,
D. M.
, 1945, “
The General Theory of Stresses and Displacements in Layered Systems
,”
J. Appl. Phys.
0021-8979,
16
, pp.
89
94
.
6.
Chen
,
W. T.
, 1971, “
Computation of Stresses and Displacements in A Layered Elastic Medium
,”
Int. J. Eng. Sci.
0020-7225,
9
, pp.
775
799
.
7.
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.
0742-4787,
110
, pp.
235
240
.
8.
Merriman
,
T.
, and
Kannel
,
J.
, 1989, “
Analyses of the Role of Surface Roughness on Contact Stresses between Elastic Cylinders with and Without Soft Surface Coating
,”
ASME J. Tribol.
0742-4787,
111
, pp.
87
94
.
9.
Gupta
,
P. K.
, and
Walowit
,
J. A.
, 1974, “
Contact Stresses between an Elastic Cylinder and a Layered Elastic Solid
,”
ASME J. Lubr. Technol.
0022-2305,
96
, pp.
250
257
.
10.
Cole
,
S. J.
, and
Sayles
,
R. S.
, 1992, “
A Numerical Model for the Contact of Layered Elastic Bodies with Real Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
114
, pp.
334
340
.
11.
Mao
,
K.
,
Sun
,
Y.
, and
Bell
,
T.
, 1996, “
A Numerical Model for the Dry Sliding Contact of Layered Elastic Bodies with Rough Surfaces
,”
Tribol. Trans.
1040-2004,
39
, pp.
416
424
.
12.
Mao
,
K.
,
Bell
,
T.
, and
Sun
,
Y.
, 1997, “
Effect of Sliding Friction on Contact Stresses for Multilayered Elastic Bodies with Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
119
, pp.
476
480
.
13.
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.
0742-4787,
119
, pp.
493
500
.
14.
Peng
,
W.
, and
Bhushan
,
B.
, 2001, “
A Numerical Three-Dimensional Model for the Contact of Layered Elastic/Plastic Solids with Rough Surfaces by a Variational Principle
,”
ASME J. Tribol.
0742-4787,
123
, pp.
330
342
.
15.
Tian
,
X.
, and
Bhushan
,
B.
, 1996, “
A Numerical Three-dimensional Model for the Contact of Rough Surfaces by Variational Principle
,”
ASME J. Tribol.
0742-4787,
118
, pp.
33
41
.
16.
Bhushan
,
B.
, and
Peng
,
W.
, 2002, “
Contact Mechanics of Multilayered Rough Surfaces
,”
Appl. Mech. Rev.
0003-6900,
55
, pp.
435
480
.
17.
Peng
,
W.
, and
Bhushan
,
B.
, 2002, “
Sliding Contact Analysis of Layered Elastic/Plastic Solids With Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
124
, pp.
46
61
.
18.
Peng
,
W.
, and
Bhushan
,
B.
, 2003, “
Transient analysis of sliding contact of layered elastic/plastic solids with rough surfaces
,”
Microsyst. Technol.
0946-7076,
9
, pp.
340
345
.
19.
Cai
,
S.
, and
Bhushan
,
B.
, 2005, “
A Numerical Three-Dimensional Contact Model for Rough, Multilayered Elastic/Plastic Solid Surfaces
,”
Wear
0043-1648,
259
, pp.
1408
1423
.
20.
Cai
,
S.
, and
Bhushan
,
B.
, 2006, “
Three-Dimensional Dry/Wet Contact Analysis of Multilayered Elastic/Plastic Solids with Rough Surfaces
,”
ASME J. Tribol.
0742-4787,
128
, pp.
18
31
.
21.
Poon
,
C. Y.
, and
Bhushan
,
B.
, 1995, “
Comparison of surface roughness measurements by stylus profiler, AFM and non-contact optical pro-filer
,”
Wear
0043-1648,
190
, pp.
76
88
.
22.
Johnson
,
K. L.
, 1985,
Contact Mechanics
,
Cambridge University Press
, Cambridge, U.K.
23.
Richards
,
T. H.
, 1977,
Energy Methods in Stress Analysis: with an Introduction to Finite Element Techniques
,
Halsted
, New York.
24.
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.
25.
Malvern
,
L. E.
, 1969,
Introduction to the Mechanics of a Continuous Medium
,
Prentice–Hall
, New York.
26.
Sokolnikoff
,
I. S.
, 1956,
Mathematical Theory of Elasticity
, 2nd ed.,
McGraw–Hill
, New York, pp.
331
336
.
27.
Bhushan
,
B.
, and
Venkatesan
,
S.
, 2005, “
Effective Mechanical Properties of Layered Rough Surfaces
,”
Thin Solid Films
0040-6090,
473
, pp.
278
295
.
You do not currently have access to this content.