Torsional oscillations of a layer bonded to an elastic half-space

The problem of a layer bonded to an elastic half-space, where the layer is driven by torsional oscillations of a bonded rigid circular disk, is solved by means of integral transform techniques. Using a standard technique, the problem is reduced to a Fredholm integral equation of the second kind, the kernel of which involves the calculation of principal value integrals. Dynamic stiffnesses are developed for a range of layer thicknesses, material properties, and frequencies.