Visco-elastic Half-space Subjected to Impact Torsion by a Rigid Cylinder

Abstract

The three dimensional analysis of stress and strain in linear visco-elastic bodies is considered when the loading is impulsive. It is shown that removal of the time variable by the applying the Laplace transformation enables a solution to be obtained in terms of an associated linear elasto-dynamic problem. Thus the analytical methods based on the stress functions can be utilized in visco-elastic analysis. As an example, the mixed boundary value problem of a semi-infinite body subjected to impulsive torsion on its surface by a rigid cylinder is analyzed assuming the material to be a 3-parameter standard solid model. Stress, displacement and stress intensity factor are shown for the cases of a given rotational angle and a given torque of the cylinder.