Antiplane transient response of embedded cylinder

The antiplane response of a rigid semicircular cylinder embedded in a homogeneous, isotropic half space due to a step function incident stress is considered. A Fourier synthesis technique is used, in which the admittance function is obtained from the corresponding steady state solution. The influence of the angle of incidence and the mass of the cylinder on the interfacial stresses are examined. The studies carried out indicate that for cylinders with a mass density larger than that of the surrounding half space, the interfacial stresses at the first point of contact between the nonvertically incident stress wave and the cylinder attain their maximum value not at the initial moment of impact but at some later time. A cylinder with a higher mass density would develop a higher maximum stress and take a longer time to reach this maximum stress. The angular distribution of shear stress at different times are also examined.