This 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. © 2006 Elsevier Ltd. All rights reserved.
Lee, D. S. (2007). The effect of an elliptic crack on the stress distribution in a long circular cylinder. International Journal of Solids and Structures, 44(11–12), 4110–4119. https://doi.org/10.1016/j.ijsolstr.2006.11.009