A model has been developed to investigate the effects of a rough elastic indenter in sliding contact with a viscoelastic layer bonded to an elastic semi-infinite plane. The viscoelastic layer is modeled as a one-dimensional Maxwell solid (small strain) while the substrate of the semi-infinite plane is modeled as a two-dimensional elastic half plane. The Fredholm integral equation of the second kind was obtained to determine the contact stresses. The results indicate that the viscoelastic properties of the layer and the velocity of the indenter significantly affect the contact pressure and internal stress distributions. The viscoelastic layer causes the pressure and internal stresses to become nonsymmetrical. High asperity densities reduce the amplitude of maximum shear stress at a fixed depth below the surface. Results are also presented for various coefficients of friction.

1.
Braat, G. F. M., and Kalker, J. J., 1993, “Theoretical and Experimental Analysis of the Rolling Contact Between Two Cylinders Coated with Multilayered Viscoelastic Rubber,” Contact Mechanics, Computational Techniques, M. H. Aliabadi, C. A. Brebbia, eds., Contact Mechanics Publication, Southampton, Boston, pp. 115–126.
2.
Chang
W. R.
,
Etsion
I.
, and
Bogy
D. B.
,
1987
, “
An Elastic-Plastic Model for the Contact of Rough Surfaces
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
109
, pp.
257
263
.
3.
Cole
S. J.
, and
Sayles
R. S.
,
1991
, “
A Numerical Model for the Contact of Layered Elastic Bodies with Real Rough Surfaces
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
334
340
.
4.
Goryacheva
I.
, and
Dobychin
M.
,
1991
, “
Multiple Contact Model in the Problems of Tribomechanics
,”
Tribology International
, Vol.
24
, N1, pp.
29
35
.
5.
Goryacheva, I., and Sadeghi, F., 1995, “Contact Characteristics of a Rolling/Sliding Cylinder and a Viscoelastic Layer Bonded to an Elastic Substrate,” Accepted for Publication in the Journal of Wear.
6.
Goryacheva
I.
, and
Torskaya
E.
,
1994
, “
Stress Field Analysis in Multiple Loaded Coated Bodies
,”
Friction and Wear
, Vol.
15
, N
3
, pp.
349
357
.
7.
Greenwood, J. A., and Tripp, J. K., 1967, “The Elastic Contact of rough Spheres,” ASME Journal of Applied Mechanics, pp. 153–159.
8.
Greenwood
J. A.
, and
Williamson
J. K.
,
1966
, “
The Contact of Two Nominally Flat Rough Surfaces
,”
Proceedings of the Royal Society
(London), Vol.
A295
, pp.
257
263
.
9.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge.
10.
Kalker, J. J., 1989, “Elastic and Viscoelastic Analysis of Two Multiply Layered Cylinders Rolling Over Each Other with Coulomb Friction,” Proceedings of the Leeds-Lyon Symposium on Tribology, pp. 27–34.
11.
Kalker
J. J.
,
1991
, “
Viscoelastic Multilayered Cylinders Rolling with Dry Friction
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
58
, pp.
666
679
.
12.
Kuo
C. H.
,
Keer
L. M.
,
1992
, “
Contact Stress Analysis of a Layered Transversely Isotropic Half-Space
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
253
262
.
13.
Lance
B. J.
, and
Sadeghi
F.
,
1993
, “
The Normal Approach and Stick-Slip Phenomena at the Interface of Two Rough Bodies
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
115
, pp.
445
452
.
1.
Makushkin
A. P.
,
1990
, “
Stress-Strain State of Elastic Layer in Contact with Spherical Indenter
,”
Friction and Wear
, Vol.
11
, No.
3
, pp.
423
434
;
2.
Friction and Wear
, Vol.
11
, No.
4
, pp.
602
608
.
1.
Merriman
T.
, and
Kannel
J. W.
,
1989
, “
Analysis of the Role of Surface Roughness on Contact Stresses Between Elastic Cylinders With and Without Soft Surface Coating
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, pp.
87
94
.
2.
Scinsot, P. H., Leroy, J. M., and Villechase, B., 1990, “Effect of Surface Coatings in a Rough Normally Loaded Contact,” Mechanics of Coatings (Tribology, Series 17), pp. 151–156.
3.
Steuermann, I., 1949, Contact Problem of the Elasticity Theory, M.-L. Gostehizdat.
4.
Thomas
T. R.
,
1979
, “
Calculation of Elastic Contact Stresses for Rough-Curved Surfaces
,”
ASLE Transactions
, Vol.
22
, pp.
186
189
.
5.
Yamada
K.
,
Takeda
N
.,
Kagomi
J
., and
Naoi
T
.,
1978
, “
Mechanisms of Elastic Contact and Friction Between Rough Surfaces
,”
Wear
, Vol.
48
, pp.
15
34
.
This content is only available via PDF.
You do not currently have access to this content.