An exact elastic-plastic solution for the stresses in an infinite sheet having a circular hole subject to pressure is obtained on the basis of J2 deformation theory together with a modified Ramberg-Osgood law. The sheet is orthotropic but isotropic in its plane. The results are assessed on the basis of Budiansky’s criterion for the acceptability of J2 deformation theory. By using exact elastic-plastic stresses, the function connecting the pressure at the hole with the radial enlargement is obtained. Upon release of the pressure, residual stresses around the hole are produced.

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A B S T R A C T The stress intensity factors are determined at the root of a radial crack emanating from a circular hole in an infinite sheet, under uniform tension in the direction at an arbitrary inclination with angle//and uniform in-plane shear, respectively.The stress analysis is carried out using the Muskhelishvili formulation and the conformal mapping. Numerical results of the stress intensity factors are obtained for varying crack length-to-hole radius ratio, L/R.

The stress intensity factors K~ and Kn are determined for two radial cracks emanating from a circular hole in an infinite sheet, under uniform tension in the direction at an arbitrary angle /3 in Fig. 1 or uniform in-plane shear in Fig. 2. The stress analysis is carried out using the Muskhelishvili formulation and the truncated conformal mapping approach developed by Bowie [1]. Bowie [2] solved the problem for an infinite sheet with radial cracks emanating from a circular hole under uniform tension T at infinity in the direction perpendicular to the plane of the crack, and under all-around tension T at infinite, respectively. Hsu [3] obtained the stress intensity factors at the root of a radial crack emanating from a circular hole in an infinite sheet, under uniform tension in the direction at angle/3 or uniform in-plane shear, by using the approach [1]. With the same approach, the present analysis will yield accurate results for Kx and KII in Fig. 1. KI and Kn in Fig. 2 are obtained by the superposition