Two isotropic linear elastic half-spaces of different material properties are pressed together by a uniform pressure and subjected to a constant shearing stress, both of which are applied far away from the interface. The shear stress is arbitrarily less than is required to produce slipping according to Coulomb’s friction law. Nonetheless, it is found here that the two bodies can slide with respect to each other due to the presence off a separation wave pulse in which all of the interface sticks, except for the finite-width separation-pulse region. In this type of pulse, the separation zone has a vanishing slope at its leading edge and an infinite slope at its trailing edge. Nonetheless, the order of the singularity at the trailing edge is small enough so as not to produce an energy sink. The problem is reduced to the solution of a pair of singular integral equations of the second kind which are solved numerically using a variation of the well-known method of Erdogan et al. (1973). Results are given for various material combinations and for a range of the remote shear-to-normal-stress ratio.

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.
,
1998
, “
Steady Sliding of Two Elastic Half-Spaces With Friction Reduction Due to Interface Stick-Slip
,”
ASME Journal of Applied Mechanics
, Vol.
65
, pp.
470
475
.
4.
Comninou
M.
, and
Dundurs
J.
,
1977
, “
Elastic Interface Waves Involving Separation
,”
ASME Journal of Applied Mechanics
, Vol.
44
, pp.
222
226
.
5.
Comninou
M.
, and
Dundurs
J.
,
1978
a, “
Elastic Interface Waves and Sliding Between Two Solids
,”
ASME Journal of Applied Mechanics
, Vol.
45
, pp.
325
330
.
6.
Comninou
M.
, and
Dundurs
J
,
1978
b, “
Can Two Solids Slide Without Slipping?
,”
International Journal of Solids and Structures
, Vol.
14
, pp.
251
260
.
7.
Erdogan, F., Gupta, G. D., and Cooke, T. S., 1973, “Numerical Solution of Singular Integral Equations,” Mechanics of Fracture I, G. C. Sih, ed., North-Holland, Amsterdam, pp. 368–425.
8.
Erde´lyi, A., 1954, Bateman Manuscript Project, Tables of Integral Transforms, McGraw-Hill, New York.
9.
Freund, L. B., 1976, “Dynamic Crack Propagation,” The Mechanics of Fracture, Erdogan, F., ed., ASME, New York, pp. 105–134.
10.
Freund
L. B.
,
1978
, “
Elastic Waves Involving Separation
,” Discussion,
ASME Journal of Applied Mechanics
, Vol.
45
, pp.
226
228
.
11.
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
.
12.
Muskhelishvili, N. I., 1958, Singular Integral Equations, P. Noordhoff, Groningen.
13.
Rice, J. R., 1998, “Slip Pulse at Low Driving Stress Along a Frictional Fault Between Dissimilar Media,” Journal of Geophysical Research, in preparation.
14.
Schallamach
A.
,
1971
, “
How Does Rubber Slide?
,”
Wear
, Vol.
17
, pp.
301
312
.
15.
Stoneley
R.
,
1924
, “
Elastic Waves at the Surface of Separation of Two Solids
,”
Proceedings of the Royal Society (London), Series A
, Vol.
106
, pp.
416
428
.
16.
Szego¨, G., 1939, Orthogonal Polynomials, Colloquim Publications, Vol. 23, American Mathematical Society, Providence, RI, p. 62, Eq. 4.21.2.
17.
Tricomi
F. G.
,
1951
, “
On the Finite Hilbert Transformation
,”
Quarterly Journal of Mathematics
, Vol.
2
, pp.
199
211
, eq. 25.
18.
Weertman
J.
,
1980
, “
Unstable Slippage Across a Fault That Separates Elastic Media of Different Elastic Constants
,”
Journal Geophysical Research
, Vol.
85
, pp.
1455
1461
.
19.
Wolfram, S., 1991, Mathematica, A System for Doing Mathematics by Computer, Second Edition, Addison-Wesley, Reading, MA.
20.
Yoffe
E. H.
,
1951
, “
The Moving Griffith Crack
,”
Philosophical Magazine
, Vol.
42
, pp.
739
750
.
This content is only available via PDF.
You do not currently have access to this content.