AXISYMMETRIC STRESS DISTRIBUTION IN AN INFINITE ELASTIC SOLID CONTAINING A FLAT ANNULAR CRACK UNDER TORSION

The axisymmetric stress distribution was analyzed in an infinite elastic solid containing a flat annular crack under torsion on the basis of three-dimensional theory of elasticity. Assuming that the circumferential displacement on the crack surface is continuous, the authors may represent it by Fourier series and reduce the problem to the solution of an infinite system of simultaneous equations. The radial distributions of the displacements and the stress components and the variations of the stress intensity factors at both crack tips with the ratio of the inner radius to the outer one are shown graphically.