Three-dimensional stress constraint in an elastic plate with a notch
Date
2002
Authors
Kotooussov, A.
Wang, C.
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Journal article
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International Journal of Solids and Structures, 2002; 39(16):4311-4326
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A. Kotousov and C. H. Wang
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Abstract
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.
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Copyright © 2002 Published by Elsevier Science Ltd. All rights reserved.