The stiction forces that exist in microelectromechanical systems (MEMS) are characterized by surface energy and surface roughness. To simulate this contact condition, a three-dimensional fractal surface geometry and an adhesive contact model for a single asperity are used together to create a numerical adhesive rough surface solution methodology. This novel method of solution determines the characteristic adhesive contact type for each individual asperity uniquely at the time of load and area integration. Such a simulation more accurately represents the physics of the asperity-based contact. Numerical results for the adherence force are presented as a function of surface topography, interface compliance, and the work of adhesion for a MEMS interface. The magnitude of the force required to separate an adhesive rough surface interface is given in relation to a polysilicon system.

1.
Komvopoulos
,
K.
, and
Yan
,
W.
,
1997
, “
A Fractal Analysis of Stiction in Microelectromechanical Systems
,”
ASME J. Tribol.
,
119
, pp.
391
400
.
2.
Johnson, K., 1985, Contact Mechanics, Cambridge, UK.
3.
Fuller
,
K.
, and
Tabor
,
D.
,
1975
, “
The Effect of Surface Roughness on Adhesion of Elastic Solids
,”
Proc. R. Soc. London, Ser. A
,
345
, pp.
327
342
.
4.
Maugis, D., 2000, Contact, Adhesion and Rupture of Elastic Solids, Springer-Verlag, Berlin Heidelberg.
5.
Sahoo
,
P.
, and
Chowdhury
,
S.
,
2002
, “
A Fractal Analysis of Adhesive Friction Between Rough Solids in Gentle Sliding
,”
Wear
,
253
, pp.
924
934
.
6.
Morrow
,
C.
,
Lovell
,
M.
, and
Ning
,
X.
,
2003
, “
A JKR-DMT Transition Solution for Adhesive Rough Surface Contact
,”
J. Phys. D
,
36
, pp.
534
540
.
7.
Tabor
,
D.
,
1977
, “
Surface Forces and Surface Interactions
,”
J. Colloid Interface Sci.
,
58
, pp.
2
13
.
8.
Johnson
,
K.
,
Kendall
,
K.
, and
Roberts
,
A.
,
1971
, “
Surface Energy and the Contact of Elastic Solids
,”
Proc. R. Soc. London, Ser. A
,
324
, pp.
301
313
.
9.
Derjaguin
,
B.
,
Muller
,
V.
, and
Toporov
,
Y.
,
1975
, “
Effect of Contact Deformations on the Adhesion of Particles
,”
J. Colloid Interface Sci.
,
53
, pp.
314
326
.
10.
Muller
,
V.
,
Yushchenko
,
V.
, and
Derjaguin
,
B.
,
1980
, “
On the Influence of Molecular Forces on the Deformation of an Elastic Sphere and Its Sticking to a Rigid Plane
,”
J. Colloid Interface Sci.
,
77
, pp.
91
101
.
11.
Muller
,
V.
,
Yushchenko
,
V.
, and
Derjaguin
,
B.
,
1983
, “
General Theoretical Consideration of the Influence of Surface Forces on Contact Deformations and the Reciprocal Adhesion of Elastic Spherical Particles
,”
J. Colloid Interface Sci.
,
92
, pp.
92
101
.
12.
Maugis
,
D.
,
1992
, “
Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model
,”
J. Colloid Interface Sci.
,
150
, pp.
243
269
.
13.
Yan
,
W.
, and
Komvopoulos
,
K.
,
1998
, “
Contact Analysis of Elastic-Plastic Fractal Surfaces
,”
J. Appl. Phys.
,
84
, pp.
3617
3624
.
14.
Majumdar, A., 1989, “Fractal Surfaces and Their Applications to Surface Phenomena,” Ph.D. thesis, University of California, Berkley.
15.
Ausloos
,
M.
, and
Berman
,
D.
,
1985
, “
Elastic-Plastic Contact Model for Bifractal Surfaces
,”
Proc. R. Soc. London, Ser. A
,
400
, pp.
331
350
.
16.
Komvopoulos
,
K.
, and
Ye
,
N.
,
2001
, “
Three-Dimensional Contact Analysis of Elastic-Plastic Layered Media With Fractal Surface Topographies
,”
ASME J. Tribol.
,
123
, pp.
632
640
.
17.
Majumdar
,
A.
, and
Bhushan
,
B.
,
1991
, “
Fractal Model of Elastic-Plastic Contact Between Rough Surfaces
,”
ASME J. Tribol.
,
113
, pp.
1
11
.
18.
Greenwood
,
J.
, and
Williamson
,
J.
,
1966
, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London, Ser. A
,
295
, pp.
300
319
.
19.
Sahoo
,
P.
, and
Chowdhury
,
S.
,
1996
, “
A Fractal Analysis of Adhesion at the Contact Between Rough Solids
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
210
, pp.
269
279
.
20.
Maugis
,
D.
,
1996
, “
On the Contact and Adhesion of Rough Surfaces
,”
J. Adhes. Sci. Technol.
,
10
, pp.
161
175
.
21.
Mastrangelo
,
C.
,
1993
, “
Mechanical Stability and Adhesion of Microstructures Under Capillary Forces—Part II: Experiments
,”
J. Microelectromech. Syst.
,
2
, pp.
44
55
.
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