A plane-strain finite element analysis for patterned elastic-plastic layered media was performed in order to elucidate the effect of surface geometry on the deformation and stress fields due to normal and sliding contact. Surface interaction between the layered media and a rigid asperity was modeled with special contact elements. Results for the contact pressure distribution, surface tensile stress, and subsurface equivalent plastic strain are presented for layered media with different meandered and sinusoidal surfaces. The significance of surface patterning on the deformation behavior is interpreted in terms of stress and strain results illustrative of the tendency for crack initiation and plastic deformation in the first two layers, where deformation is confined in all simulation cases. Relations for the contact pressure concentration factor and onset of yielding in the first (hard) layer are derived from finite element results for indented layered media with sinusoidal surface patterns. Predictions for the indentation depth at the onset of yielding based on the developed yield criterion are shown to be in good agreement with those obtained from finite element simulations.

1.
King
,
R. B.
,
1987
, “
Elastic Analysis of Some Punch Problems for a Layered Medium
,”
Int. J. Solids Struct.
,
23
, pp.
1657
1664
.
2.
O’Sullivan
,
T. C.
, and
King
,
R. B.
,
1988
, “
Sliding Contact Stress Field Due to a Spherical Indenter on a Layered Elastic Half-Space
,”
ASME J. Tribol.
,
110
, pp.
235
240
.
3.
Komvopoulos
,
K.
,
1988
, “
Finite Element Analysis of a Layered Elastic Solid in Normal Contact With a Rigid Surface
,”
ASME J. Tribol.
,
110
, pp.
477
485
.
4.
Komvopoulos
,
K.
,
1989
, “
Elastic-Plastic Finite Element Analysis of Indented Layered Media
,”
ASME J. Tribol.
,
111
, pp.
430
439
.
5.
Tian
,
H.
, and
Saka
,
N.
,
1991
, “
Finite Element Analysis of an Elastic-Plastic Two-Layer Half-Space: Sliding Contact
,”
Wear
,
148
, pp.
261
285
.
6.
Kral
,
E. R.
, and
Komvopoulos
,
K.
,
1996
, “
Three-Dimensional Finite Element Analysis of Surface Deformation and Stresses in an Elastic-Plastic Layered Medium Subjected to Indentation and Sliding Contact Loading
,”
ASME J. Appl. Mech.
,
63
, pp.
365
375
.
7.
Kral
,
E. R.
, and
Komvopoulos
,
K.
,
1997
, “
Three-Dimensional Finite Element Analysis of Subsurface Stress and Strain Fields Due to Sliding Contact on an Elastic-Plastic Layered Medium
,”
ASME J. Tribol.
,
119
, pp.
332
341
.
8.
Westergaard
,
H. M.
,
1939
, “
Bearing Pressures and Cracks
,”
ASME J. Appl. Mech.
,
6
, pp.
49
53
.
9.
Dundurs
,
J.
,
Tsai
,
K. C.
, and
Keer
,
L. M.
,
1973
, “
Contact Between Elastic Bodies With Wavy Surfaces
,”
J. Elast.
,
3
, pp.
109
115
.
10.
Johnson
,
K. L.
,
Greenwood
,
J. A.
, and
Higginson
,
J. G.
,
1985
, “
The Contact of Elastic Regular Wavy Surfaces
,”
Int. J. Mech. Sci.
,
27
, pp.
383
396
.
11.
Seabra
,
J.
, and
Berthe
,
D.
,
1987
, “
Influence of Surface Waviness and Roughness on the Normal Pressure Distribution in the Hertzian Contact
,”
ASME J. Tribol.
,
109
, pp.
462
470
.
12.
Komvopoulos
,
K.
, and
Choi
,
D.-H.
,
1992
, “
Elastic Finite Element Analysis of Multi-Asperity Contacts
,”
ASME J. Tribol.
,
114
, pp.
823
831
.
13.
Saka
,
N.
,
Liou
,
M. J.
, and
Suh
,
N. P.
,
1984
, “
The Role of Tribology in Electrical Contact Phenomena
,”
Wear
,
100
, pp.
77
105
.
14.
Tian
,
H.
,
Saka
,
N.
, and
Suh
,
N. P.
,
1989
, “
Boundary Lubrication Studies on Undulated Titanium Surfaces
,”
Tribol. Trans.
,
32
, pp.
289
296
.
15.
Ramachandra
,
S.
, and
Ovaert
,
T. C.
,
2000
, “
Effect of Coating Geometry on Contact Stresses in Two-Dimensional Discontinuous Coatings
,”
ASME J. Tribol.
,
122
, pp.
665
671
.
16.
Ross
,
C.
, 2001, “Patterned Magnetic Recording Media,” Annual Review of Materials Research, 31, pp. 203–235.
17.
Komvopoulos
,
K.
,
2000
, “
Head-Disk Interface Contact Mechanics for Ultrahigh Density Magnetic Recording
,”
Wear
,
238
, pp.
1
11
.
18.
Wu
,
T. W.
,
1991
, “
Microscratch and Load Relaxation Tests for Ultra-thin Films
,”
J. Mater. Res.
,
6
, pp.
407
426
.
19.
Keer
,
L. M.
, and
Worden
,
R. E.
,
1990
, “
A Qualitative Model to Describe the Microchipping Wear Mode in Ceramic Rollers
,”
Tribol. Trans.
,
33
, pp.
411
417
.
20.
Keer
,
L. M.
, and
Kuo
,
C. H.
,
1992
, “
Cracking in a Loaded Brittle Elastic Half-Space
,”
Int. J. Solids Struct.
,
29
, pp.
1819
1826
.
21.
Chen
,
S. Y.
,
Farris
,
T. N.
, and
Chandrasekar
,
S.
,
1991
, “
Sliding Microindentation Fracture of Brittle Materials
,”
Tribol. Trans.
,
34
, pp.
161
168
.
22.
Bower
,
A. F.
, and
Fleck
,
N. A.
,
1994
, “
Brittle Fracture Under a Sliding Line Contact
,”
J. Mech. Phys. Solids
,
42
, pp.
1375
1396
.
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