In this paper, a rough surface is modeled as an array of asperities represented by spheres with different radii and heights to be able to calculate the deformation (elastic, elastic-plastic, and plastic) at each asperity in contact. The total contact area and the total load carried are calculated by summarizing respectively the contact area and the load carried by each individual asperity (deterministic model). This model will diminish the assumption of an average asperity radius and enable one to calculate the contact of non-Gaussian surface more precisely. Further, in this paper, the deterministic model is used to analyze the contact behavior of a rough surface against a flat layered surface by modeling the flat layered surface as a solid that has effective mechanical properties as a function of indentation depth.

Keywords:
elastic deformation, plastic deformation, rough surfaces, numerical analysis, indentation, mechanical contact, elastoplasticity
Topics:
Surface roughness, Stress
1.
Greenwood
,
J. A.
, and
Williamson
,
J. B. P.
,
1966
, “
Contact of Nominally Flat Surface
,”
Proc. R. Soc. London, Ser. A
,
295
, pp.
300
–
319
.
2.
Zhao
,
Y.
,
Maietta
,
D. M.
, and
Chang
,
L.
,
2000
, “
An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow
,”
ASME J. Tribol.
,
122
, pp.
86
–
93
.
3.
Gao
,
H.
,
Chui
,
C.
, and
Lee
,
J.
,
1992
, “
Elastic Contact Versus Indentation Model of Multi-Layered Material
,”
Int. J. Solids Struct.
,
29
, pp.
2471
–
2492
.
4.
Swain
,
M. V.
, and
Mencik
,
J.
,
1994
, “
Mechanical Characterization of Thin Films Using Spherical Tipped Indenters
,”
Thin Solid Films
,
253
, pp.
204
–
211
.
5.
Bhattacharaya
,
A. K.
, and
Nix
,
W. D.
,
1988
, “
Analysis of Elastic and Plastic Deformation Associated With Indentation Testing of Thin Films on Substrates
,”
Int. J. Solids Struct.
,
24
, pp.
1287
–
1298
.
6.
Tabor, D., 1951, The Hardness of Metals, Oxford University Press, Oxford.
7.
Johnson, K. L., 1995, Contact Mechanics, Cambridge University Press, Cambridge.
8.
Kogut
,
L.
, and
Etsion
,
I.
,
2002
, “
Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
,”
Trans. ASME, J. Appl. Mech.
,
69
(
5
), pp.
657
–
662
.
9.
Jackson, R. L., and Green, I., 2003, “A Finite Element Study of Elasto-Plastic Hemispherical Contact,” Proc. of 2003 STLE/ASME Joint Tribology Conference, 2003TRIB-268.
10.
Greenwood
,
J. A.
,
1984
, “
A Unified Theory of Surface Roughness
,”
Proc. R. Soc. London, Ser. A
,
393
, pp.
133
–
157
.
11.
Sherbiney, M. G. D., 1975, “Tribological Properties of Ion-Plated Thin-Metallic Films,” Ph.D. thesis, University of Salford, England.
12.
Tang
,
K. C.
, and
Arnell
,
R. D.
,
1999
, “
Determination of Coating Mechanical Properties Using Spherical Indenters
,”
Thin Solid Films
,
355–356
, pp.
263
–
269
.
13.
Bush
,
A. W.
,
Gibson
,
R. D.
, and
Thomas
,
T. R.
,
1975
, “
Elastic Contact of a Rough Surface
,”
Wear
,
35
, pp.
87
–
111
.
14.
Jeng
,
Y. R.
, and
Wang
,
P. Y.
,
2003
, “
An Elliptical Microcontact Model Considering Elastic, Elastoplastic, and Plastic Deformation
,”
ASME J. Tribol.
,
125
, pp.
232
–
240
.
Copyright © 2005
 by ASME
You do not currently have access to this content.