The effect of an elliptic crack on the stress distribution in a long circular cylinder

AbstractThis paper deals with three-dimensional analysis of stress distribution in a long circular cylinder containing an elliptical crack. The surface of the crack is perpendicular to the axis of the cylinder, and is subjected to a constant pressure. The equations of the classical theory of elasticity are solved in terms of an unknown function which is then shown to be the solution of an integro-differential equation. Numerical solution of the integro-differential equation is obtained. The resultant stress intensity magnification factors for the elliptical crack in the cylinder are presented in graphical forms for various crack aspect ratios, and proximity ratios