Two flat layered elastic half-spaces, of different material properties, are pressed together and slide against each other with a constant coefficient of friction. Although a nominally steady-state solution exists, an analysis of the dynamic motion yields complex eigenvalues with positive real parts, i.e., a flutter instability. These results demonstrate that self-excited (unstable) motion occurs for a wide range of material combinations. The physical mechanism responsible for this instability is that of slip-wave destabilization. The influence of the properties of the layers on the destabilization of sliding motion is investigated. These dynamic instabilities lead either to regions of stick-slip or to areas of loss-of-contact. Finally the dynamic stresses at the interfaces between the layers and the semi-infinite bodies are determined and compared to the nominally steady-state stresses. These dynamic stresses are expected to play an important role in delamination.

1.
Achenbach
J. D.
, and
Epstein
H. I.
,
1967
, “
Dynamic Interaction of a Layer and a Half-Space
,”
ASCE Journal of the Engineering Mechanics Division
, Vol.
EM5
, pp.
27
42
.
2.
Adams
G. G.
,
1995
, “
Self-Excited Oscillations of Two Elastic Half-Spaces Sliding With a Constant Coefficient of Friction
,”
ASME Journal of Applied Mechanics
, Vol.
62
, pp.
867
872
.
3.
Adams
G. G.
,
1996
, “
Self-Excited Oscillations in Sliding With a Constant Friction Coefficient—A Simple Model
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
118
, pp.
819
823
.
4.
Armstrong-He´louvry
B.
,
Dupont
P.
, and
Canudas de Wit
C.
,
1994
, “
Friction in Servo Machines: Analysis and Control Methods
,”
Applied Mechanics Reviews
, Vol.
47
, pp.
275
305
.
5.
Comninou
M.
, and
Dundurs
J.
,
1977
, “
Elastic Interface Waves Involving Separation
,”
ASME Journal of Applied Mechanics
, Vol.
44
, pp.
222
226
.
6.
Ewing, W. M., Jardetzky, W. S., and Press, F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
7.
Hess
D. P.
, and
Soom
A.
,
1992
, “
Normal and Angular Motions at Rough Planar Contacts During Sliding With Friction
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
114
, pp.
567
578
.
8.
Hess
D. P.
, and
Soom
A.
,
1993
, “
The Effects of Relative Angular Motions on Friction at Rough Planar Contacts
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
115
, pp.
96
101
.
9.
Ibrahim
R. A.
,
1994
a, “
Friction-Induced Vibration, Chatter, Squeal, and Chaos, Part I: Mechanics of Contact and Friction
,”
Applied Mechanics Reviews
, Vol.
47
, pp.
209
226
.
10.
Ibrahim
R. A.
,
1994
b, “
Friction-Induced Vibration, Chatter, Squeal, and Chaos, Part II: Dynamics and Modeling
,”
Applied Mechanics Reviews
, Vol.
47
, pp.
227
253
.
11.
IMSL, 1989, IMSL Math/Library, (subroutine DZANLY), IMSL, Houston, Texas.
12.
Martins
J. A. C.
,
Oden
J. T.
, and
Simo˜es
F. M. F.
,
1990
, “
A Study of Static and Kinetic Friction
,”
International Journal of Engineering Science
, Vol.
28
, pp.
29
92
.
13.
Martins
J. A. C.
,
Guimara˜es
J.
, and
Faria
L. O.
,
1995
, “
Dynamic Surface Solutions in Linear Elasticity and Viscoelasticity With Frictional Boundary Conditions
,”
ASME Journal of Vibration and Acoustics
, Vol.
117
, pp.
445
451
.
14.
Murty
G. S.
,
1975
, “
Wave Propagation at an Unbonded Interface Between Two Elastic Half-Spaces
,”
Journal of the Acoustical Society of America
, Vol.
58
, pp.
1094
1095
.
15.
Nayak
P. R.
,
1972
, “
Contact Vibrations
,”
Journal of Sound and Vibration
, Vol.
22
, pp.
297
322
.
16.
Oden
J. T.
, and
Martins
J. A. C.
,
1985
, “
Models and Computational Methods for Dynamic Friction Phenomena
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
52
, pp.
527
634
.
17.
Rabinowicz, E., 1995, Friction and Wear of Materials, Second Edition, Wiley, New York.
18.
Schallamach
A.
,
1971
, “
How Does Rubber Slide?
,”
Wear
, Vol.
17
, pp.
301
312
.
19.
Soom
A.
, and
Kim
C.
,
1983
a, “
Interactions Between Dynamic Normal and Frictional Forces During Unlubricated Sliding
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
221
229
.
20.
Soom
A.
, and
Kim
C.
,
1983
b, “
Roughness-Induced Dynamic Loading at Dry and Boundary-Lubricated Sliding Contacts
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
514
517
.
21.
Soom
A.
, and
Chen
J. W.
,
1986
, “
Simulation of Random Surface Roughness-Induced Contact Vibrations at Hertzian Contacts During Steady Sliding
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
108
, pp.
123
127
.
22.
Stoneley
R.
,
1924
, “
Elastic Waves at the Surface of Separation of Two Solids
,”
Proceedings of the Royal Society of London
, Series A, Vol.
106
, pp.
416
428
.
23.
Tolstoi
D. M.
,
1967
, “
Significance of the Normal Degree of Freedom and Natural Normal Vibrations in Contact Friction
,”
Wear
, Vol.
10
, pp.
199
213
.
24.
Tworzydlo
W. W.
, and
Becker
E.
,
1991
, “
Influence of Forced Vibrations on the Static Coefficient of Friction—Numerical Modeling
,”
Wear
, Vol.
143
, pp.
175
196
.
25.
Tworzydlo
W. W.
,
Becker
E. B.
, and
Oden
J. T.
,
1994
, “
Numerical Modeling of Friction-Induced Vibrations and Dynamic Instabilities
,”
Applied Mechanics Reviews
, Vol.
47
, pp.
255
274
.
26.
Wolfram, S., 1991, Mathematica, A System for Doing Mathematics by Computer, Second Edition, Addison-Wesley, Reading, MA.
This content is only available via PDF.
You do not currently have access to this content.