The spatial structure of the stress field in the neighbourhood of the corner point of a thin plate
type: Item
instance of: scholarly article
title: The spatial structure of the stress field in the neighbourhood of the corner point of a thin plate
zbMATH Open document ID: 0786.73044
DOI: 10.1016/0021-8928(91)90017-O
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-02T00:00:00Z
review text: The bending of a plate with a rigidly clamped edge is studied. The contour which forms the boundary of the middle cross-section has a corner point. The effects of the boundary layers, namely of the plane layer (near the smooth part of the side surface) and the three-dimensional layer (near the characteristic line) are compared. The terms in the asymptotic representation of the plate deformation energy are determined, taking into account the general effect of the three-dimensionality.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 500802
zbMATH Keywords: rigidly clamped edge
zbMATH Keywords: boundary layers
zbMATH Keywords: asymptotic representation
zbMATH Keywords: plate deformation energy
author: Sergei A. Nazarov
MaRDI profile type: Publication
cites work: Q5822995
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cites work: Q4743804
cites work: [Russian Text Ignored.]
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full work available at URL: 0021-8928(91)90017-o
OpenAlex ID: W2025893628
description: scientific article; zbMATH DE number 500802