Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/22874
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Type: Journal article
Title: Stress singularities resulting from various boundary conditions in angular corners of plates of arbitrary thickness in extension
Author: Kotooussov, A.
Lew, Y.
Citation: International Journal of Solids and Structures, 2006; 43(17):5100-5109
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2006
ISSN: 0020-7683
Statement of
Responsibility: 
Andrei Kotousov and Yaw Tong Lew
Abstract: The stress singularities in angular corners of plates of arbitrary thickness with various boundary conditions subjected to in-plane loading are studied within the first-order plate theory. By adapting an eigenfunction expansion approach a set of characteristic equations for determining the structure and orders of singularities of the stress resultants in the vicinity of the vertex is developed. The characteristic equations derived in this paper incorporate that obtained within the classical plane theory of elasticity (M.L. Williams’ solution) and also describe the possible singular behaviour of the out-of-plane shear stress resultants induced by various boundary conditions.
Keywords: Stress singularities
Plates of arbitrary thickness in extension
Eigenvalue expansion approach
First-order plate theory
Description: Copyright © 2005 Elsevier Ltd All rights reserved.
DOI: 10.1016/j.ijsolstr.2005.06.037
Description (link): http://www.elsevier.com/wps/find/journaldescription.cws_home/297/description#description
Published version: http://dx.doi.org/10.1016/j.ijsolstr.2005.06.037
Appears in Collections:Aurora harvest 6
Materials Research Group publications
Mechanical Engineering publications

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