“…This article discusses the elementary solutions governing the antiplane, elastodynamic contact between two elastically similar bodies in the presence of friction and slip. Elastodynamic contact is of particular relevance at high strain rates [1], under shock [2,3] or ramp loading [4], and generally in the description of contact problems where the representative time and lengthscales are comparable to the relevant speeds of sound of the material, such as those that may for instance be encountered in turbine shaft bearings [5,6,7], where the loading rates quickly approach the material's speed of sound; in joints in flexible structures, where the speed of sound at the joint is much slower than that at the structure itself [8,9]; or in brakes, where dynamic contact is involved in frictional induced vibrations [10,11] which are also of relevance in structural mechanics [12,13,14]. In such situations, the conventional contact equations ought to account for the inertial forces of the material, and the problem, formerly parabolic, becomes time dependent and hyperbolic.…”