Kotooussov, A.Wang, C.2007-07-052007-07-052002International Journal of Solids and Structures, 2002; 39(16):4311-43260020-7683http://hdl.handle.net/2440/33816Copyright © 2002 Published by Elsevier Science Ltd. All rights reserved.This paper presents analytical solutions for the three-dimensional stress distribution around typical stress concentrators in an isotropic plate of arbitrary thickness. Based on the assumption of a generalised plane-strain theory, which assumes that the through-the-thickness extensional strain is uniform in the thickness direction, an exact three-dimensional solution has been obtained for an annulus subjected to arbitrary loading along its edges. Emphasis has been placed on the through-the-thickness stress constraint, which is a pre-requisite to analysing the effect of plate thickness on the elastic-plastic deformation at a notch root. Important results are presented on the effects of the plate thickness and Poisson's ratio on the in-plane stress concentration factor and the out-of-plane stress constraint factor. By extending the theoretical method to a plate with a non-circular notch, an approximate solution has been obtained for the through-the-thickness constraint factor in a plate with a V-shaped notch having a circular tip. The present solutions have been shown to correlate well with numerical results obtained using the finite element method. © 2002 Published by Elsevier Science Ltd.enStressThree-dimensionalNotchJournal article002006413210.1016/S0020-7683(02)00340-20001774678000122-s2.0-003713630150501Kotooussov, A. [0000-0001-9337-5095]