Friction/stiction and wear are among the main issues in microelectromechanical systems (MEMS/NEMS) devices having contact interfaces. Relevant parameters, i.e., layers thickness, need to be optimized. The contact analyses of multilayered structure under both dry and wet conditions are necessary to optimize these parameters. This study presents a first attempt to perform three-dimensional contact analysis of multilayered solids with rough surfaces in both dry and wet conditions. The surface displacements and contact pressure distributions are obtained based on variational principle with fast Fourier transform scheme. The effective hardness is modeled and plays a role when the local displacement meets the maximum displacement criterion. Simulations are performed to obtain the contact pressures, fractional total contact area, fractional plastic contact area, surface/subsurface stresses. Relative meniscus forces are obtained with the presence of an ultrathin liquid film for different loads and layers properties. These contact statistics and meniscus forces are analyzed to study the effects of layer-to-substrate ratios of stiffness and hardness, and the layers thickness of rough, two-layered elastic/plastic solids. The methods to decrease friction/stiction and wear are investigated, and the optimum layer parameters are identified.

1.
Bhushan
,
B.
, 2002,
Introduction to Tribology
,
John 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 Edition,
Springer
, New York.
4.
Bhushan
,
B.
, 2001,
Principles of Tribology Modern Tribology Handbook
Vol.
1
;
Materials, Coatings, and Industrial Applications
Vol.
2
,
CRC Press
, Boca Raton, FL.
5.
Malvern
,
L. E.
, 1969,
Introduction to the Mechanics of a Continuous Medium
,
Prentice-Hall
, New York.
6.
O’Sullivan
,
T. C.
, and
King
,
R. B.
, 1998, “
Sliding Contact Stress Field Due to a Spherical Indenter on a Layered Elastic Half-Space
,”
ASME J. Tribol.
0742-4787,
110
, pp.
235
240
.
7.
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
.
8.
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
.
9.
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
.
10.
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
.
11.
Bhushan
,
B.
, and
Peng
,
W.
, 2002, “
Contact Mechanics of Multilayered Rough Surfaces
,”
Appl. Mech. Rev.
0003-6900,
55
, pp.
435
480
.
12.
Bowden
,
F. P.
, and
Tabor
,
D.
, 1950,
The Friction and Lubrication of Solids
, Part I,
Clarendon
, Oxford.
13.
Johnson
,
K. L.
, 1985,
Contact Mechanics
,
Cambridge University Press
, Cambridge, U.K.
14.
Richards
,
T. H.
, 1977,
Energy Methods in Stress Analysis: With an Introduction to Finite Element Techniques
,
Halsted
, New York.
15.
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.
16.
Bhushan
,
B.
, and
Venkatesan
,
S.
, 2005, “
Effective Mechanical Properties of Layered Rough Surfaces
,”
Thin Solid Films
0040-6090,
473
, pp.
278
295
.
17.
Israelachvili
,
J. N.
, 1992,
Intermolecular and Surface Forces
, 2nd ed.,
Academic
, San Diego.
18.
Tian
,
X.
, and
Bhushan
,
B.
, 1996, “
The Micro-meniscus Effect of Thin Liquid Film on the Static Friction of Rough Surface Contact
,”
J. Phys. D
0022-3727,
29
, pp.
163
178
.
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