Torsional Impulsive Response of an Elastic Half-Space due to a Rigid Circular Cylinder

The rigid circular cylinder cemented on an elastic half-space is rotated impulsively through a small angle. The problem is solved by setting up an integral equation for the Laplace transform of the coefficient of the stress function. The inversion of the Laplace transform is carried out by using the numerical method. The numerical results are shown for the impulsive response of the elastic half-space such as the stress intensity factor and the torque.