Torsional impact response of a flat annular crack in an infinite elastic medium with a cylindrical inclusion.

Abstract

This paper is concerned with the torsional impact response of an infinite medium with a flat annular crack around an infinitely long cylinder with different elastic constants. Laplace and Hankel transforms are used to reduce the problem to the solution of a set of triple integral equations in the Laplace transform domain. These equations are solved by using an integral transform technique and the result is expressed in terms of a singular integral equation of the first kind. The dynamic stress intensity factor is obtained numerically, and the effects of the geometrical configulations and the material properties of the composite material on the dynamic stress intensity factor are shown graphically. Two limiting cases, in which the surface of the cylindrical cavity is stress free and is fixed, are included.