Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited
type: Item
instance of: scholarly article
title: Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited
zbMATH Open document ID: 0841.73011
DOI: 10.1007/BF00043957
published in: Journal of Elasticity
publication date: 1995-01-01T00:00:00Z
review text: This paper addresses a general analytical method for investigating the two-dimensional distributions of stresses set up in a rectangular plate by a load applied along its sides in any arbitrary manner. Proposed independently by Mathieu (1890), Inglis (1921) and Pickett (1944), and later named the `superposition method', it has been applied with success to the study of distribution of stresses inside a rectangle. The object of this paper is to prove the advantages of that approach when studying a stress field near the boundaries, including specific cases of discontinuous and concentrated normal and shear loadings. The method is illustrated by several numerical examples.
Mathematics Subject Classification ID: 74B10
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
zbMATH DE Number: 858453
zbMATH Keywords: superposition method
zbMATH Keywords: stress field near boundaries
author: V. V. Meleshko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 858453