Stress Distribution in a Thin Circular Elastic Plate Containing a Griffith Crack Embedded in an Infinite Elastic Medium

Abstract

In this paper the problem of determining stress distribution in the neighbourhood of a Griffith crack, opened by a thin symmetric wedge, in a thin circular elastic plate embedded in an infinite elastic medium containing a circular hole of same radius as that of the plate is considered. The elastic properties of the plate and infinite elastic medium are different. Using the known solutions of elastic equilibrium equations, the mixed boundary value problem is reduced to a set to a triple integral equations involving cosine kernels. Finite Hilbert transform is used to reduce this set to a Fredholm integral equation of the second kind, this integral equation is solved by well known interative procedure. Stress intensity factors is found for the case of a rectangular wedge and some numerical calculations have also been done. Results arrived at are shown graphically.