**JOT Paper**

### Dynamic Motion of Two Elastic Half-Spaces
in Relative Sliding Without Slipping** **

G.G. Adams

Summary

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 of 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, Gupta and Cooke (1973). Results are given for various
material combinations and for a range of the remote
shear-to-normal-stress ratio.

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