A circular disc containing a radial edge crack opened by a constant internal pressure

Abstract

AbstractA circular disc of radius a, made of homogeneous, isotropic, linearly elastic material, contains a radial edge crack of lengthb(0 <b< 2a). The disc is in equilibrium in a state of generalized plane stress caused by loading the faces of the crack by a constant internal pressure. The problem of determining the resulting stress field throughout the disc is solved analytically in closed form. The principal results are that the stress concentration factorat the crack tip, the total strain energyW, and the openingUat the mouth of the crack, are given exactly bywhereAis a constant whose value correct to 6 significant figures isand,W0,U0are normalising factors defined in section 6.