The Effect of Bending on the Infinite Elastic Solid with an Annular Crack

Abstract

The problem considered is one of determining the stress field in the vicinity of an annular crack embedded in the infinite elastic solid under bending. The solution is obtained by assuming that the displacement component on the crack face may be expressed in the form of appropriate Fourier series and then the resulting system of integral equations to the problem of solving the infinite system of algebraic equations. The numerical results given in the paper include the stress intensity factors, and the stress and displacement distributions. The effect of the crack on the stress produced in the solid by an asymmetric normal loading is also considered.