A new numerical method of analyzing adhesive contact mechanics between a sphere and a flat with sub-nanometer roughness is presented. In contrast to conventional theories, the elastic deformations of mean height surfaces and contacting asperities, and Lennard-Jones (LJ) surface forces of both the contacting asperities and noncontacting rough surfaces including valley areas are taken into account. Calculated contact characteristics of a 2-mm-radius glass slider contacting a magnetic disk with a relatively rough surface and a 30-mm-radius head slider contacting a currently available magnetic disk with lower roughness are shown in comparison with conventional adhesive contact theories. The present theory was found to give a larger adhesive force than the conventional theories and to converge to a smooth sphere-flat contact theory as the roughness height approaches zero.

References

References
1.
Johnson
,
K. L.
,
Kendall
,
K.
, and
Robert
,
A. D.
, 1971, “
Surface Energy and the Contact of Elastic Solids
,”
Proc. R. Soc. London, Ser. A
,
324
, pp.
301
313
.
2.
Derjaguin
,
B. V.
,
Muller
,
V. M.
, and
Toporov
,
Y. P.
, 1975, “
Effect of Contact Deformations on the Adhesion of Particles
,”
J. Colloid Interface Sci.
,
53
, pp.
314
326
.
3.
Maugis
,
D.
, 1992, “
Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model
,”
J. Colloid Interface Sci.
,
150
(
1
), pp.
243
269
.
4.
Attard
,
P.
, and
Parker
,
J. L.
, 1992, “
Deformation and Adhesion of Elastic Bodies in Contact
,”
Phys. Rev. A
,
46
(
12
), pp.
7959
7971
.
5.
Greenwood
,
J. A.
, 1997, “
Adhesion of Elastic Spheres
,”
Proc. R. Sci. London, Ser. A
,
453
, pp.
1277
1297
.
6.
Feng
,
J. Q.
, 2000, “
Contact Behavior of Spherical Elastic Particles: a Computational Study of Particle Adhesion and Deformations
,”
Colloids Surf.
,
172
, pp.
175
198
.
7.
Chang
,
W. R.
,
Etsion
,
I.
, and
Bogy
,
D. B.
, 1988, “
Adhesion Model of Metallic Rough Surfaces
,”
ASME J. Tribol.
,
110
(
1
), pp.
50
56
.
8.
Pashley
,
M. D.
, 1984, “
Further Consideration of the DMT Model for Elastic Contact
,”
Colloids Surf.
,
12
, pp.
69
77
.
9.
Greenwood
,
J. A.
, and
Williamson
,
J. B. P.
, 1966, “
Contact of Nominally Flat Surfaces
,”
Proc. R. Soc. London, Ser. A
,
A295
, pp.
300
319
.
10.
Stanley
,
H. M.
,
Etsion
,
I.
, and
Bogy
,
D. B.
, 1990, “
Adhesion of Contacting Rough Surfaces in the Presence of Sub-Boundary Lubrication
,”
ASME J. Tribol.
,
112
(
1
), pp.
98
104
.
11.
Suh
,
A. Y.
, and
Polycarpou
,
A. A.
, 2005, “
Adhesive Contact Modeling for Sub-5-nm Ultralow Flying Magnetic Storage Head-Disk Interface Including Roughness Effects
,”
J. Appl. Phys.
,
99
, p.
104328
.
12.
Kogut
,
K.
, and
Etsion
,
I.
, 2004, “
A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces
,”
ASME J. Tribol.
,
126
(
1
), pp.
34
40
.
13.
Lee
,
S.-C.
, and
Polycarpou
,
A. A.
, 2005, “
Microtribodynamics of Pseudo-Contacting Head-Disk Interface Intended for 1 Tbit/in2
,”
IEEE Trans. Magn.
,
41
(
2
), pp.
812
818
.
14.
Iida
,
K.
, and
Ono
,
K.
, 2003, “
Design Consideration of Contact/Near-Contact Sliders Based on a Rough Surface Contact Model
,”
ASME J. Tribol.
,
125
(
3
), pp.
562
570
.
15.
Ono
,
K.
, and
Yamane
,
M.
, 2007, “
Analysis of Contact Characteristics of Small Rough Surfaces Taking Bulk Deformation and Meniscus Force into Consideration
,”
ASME J. Tribol.
,
129
(
3
), pp.
453
460
.
16.
Ono
,
K.
, and
Yamane
,
M.
, 2007, “
Improved Analysis of Unstable Bouncing Vibration and Stabilizing Design of Flying Head Slider in Near-Contact Region
,”
ASME J. Tribol.
,
129
(
1
), pp.
65
74
.
17.
Ono
,
K.
, 2008, “
Effect of van der Waals Forces in a Near Contact Head-Disk Interface
,”
IEEE Trans. Magn.
,
44
(
11
), pp.
3675
3678
.
18.
Ono
,
K.
, 2010, “
Numerical Analysis of Contact Mechanics between a Spherical Slider and a Flat Disk with Low Roughness Considering Lennard-Jones Surface Forces
,”
J. Adhesion Sci. Technol.
,
24
, pp.
2341
2362
.
19.
Tabor
,
D.
, 1977, “
Surface Forces and Surface Interactions
,”
J. Colloid Interface Sci.
,
58
(
1
), pp.
2
13
.
20.
Ono
,
K.
, and
Nakagawa
,
K.
, 2006, “
Experimental Study of Collision Motion, Contact Force and Adhesion Force of Hemispherical Sliders With Stationary Magnetic Disks
,”
JSME Int. J., Ser. C
,
49
(
4
), pp.
1159
1170
.
21.
Ono
,
K.
, and
Nakagawa
,
K.
, 2008, “
Dynamic Adhesion Characteristics of Spherical Sliders Colliding With Stationary Magnetic Disks With a Thin Lubricant Layer
,”
Tribol. Lett.
,
31
, pp.
77
89
.
22.
Ono
,
K.
, 2009, “
Contact Characteristics of Spherical Head and Magnetic Disk Considering van der Waals Forces and Elastic Deformation of Contacting Asperities and Mean Height Surfaces
,”
IEEE Trans. Magn.
,
45
(
10
), pp.
3612
3615
.
23.
Ono
,
K.
, 2010, “
Numerical Analysis Method of Contact Mechanics Between a Sphere and a Flat With Sub-Nanometer Roughness Due to Lennard-Jones Surface Forces
,”
Trans. JSME, Ser. C
,
76
(
764
), pp.
949
959
(In Japanese).
24.
Ono
,
K.
, 1985, “
Improved Numerical Analysis of Three-Dimensional Elastic Contact Problems
,”
Proceedings of the JSLE International Tribology Conference
,
Tokyo, Japan
, pp.
3
10
.
25.
MacCool
,
J. I.
, 1986, “
Comparison of Models for the Contact Rough Surfaces
,”
Wear
,
107
, pp.
37
60
.
26.
Jia-Yang
,
J.
,
Nakamura
,
T.
,
Knigge
,
B.
,
Yansheng
,
L.
,
Wen-Chien
,
H.
,
Kuroki
,
K.
,
Fu-Ying
,
H.
, and
Baumgart
,
P.
, 2008, “
Numerical and Experimental Analyses of Nanometer Scale Flying Height Control of Magnetic Head With Heating Element
,”
IEEE Trans. Magn.
,
44
(
11
), pp.
3679
3682
.
27.
Mate
,
C. M.
, 2008,
Tribology on the Small Scale
,
Oxford University Press
,
New York
, pp.
152
154
.
28.
Honbo
,
K.
, and
Amo
,
M.
, 2010, “
Interaction between Probes and Ultra-thin Films Studies by Environmentally Controlled Scanning Probe Microscope
,”
Proceedings of The 71st Autumn Meeting of JSAP
,
14P-NF-5
,
Nagasaki, Japan
, p.
220
.
29.
Asay
,
D. B.
, and
Kim
,
S. H.
, 2006, “
Effects of Adsorbed Water Layer Structure on Adhesion Force of Silicon Oxide Nanoasperity Contact in Humid Ambient
,”
J. Chem. Phys.
,
124
, p.
174712
.
You do not currently have access to this content.