Static-geometric duality and stress concentration in twisted and sheared shallow spherical shells
type: Item
instance of: scholarly article
title: Static-geometric duality and stress concentration in twisted and sheared shallow spherical shells
zbMATH Open document ID: 0953.74043
author: Eric Reissner
author: F. Y. M. Wan
published in: Computational Mechanics
publication date: 2001-01-25T00:00:00Z
review text: This note is based on a previous one of the same authors [Int. J. Solids Struct. 31, No. 16, 2153--2165 (1994; Zbl 0946.74542)]. Its main objectives are: (1) a simplification in the use of static-geometric duality by means of an alternate form of the solution of stress concentration problems for twisted or sheared \ shallow spherical shells with a stress-free hole, a rigid insert, or a circular edge with a roller support near the apex of the shell; (2) the construction of complete solutions (applicable to the entire range of the shell parameters) including numerical data for specific problems. The simplification consists in expressing the 12 stress concentration factors by merely one auxiliary function which represents the boundary layer solution, i.e. the interior solution does not influence the stress concentration.
reviewed by: Hans Bufler
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 1342714
zbMATH Keywords: circular edge with roller support
zbMATH Keywords: stress-free hole
zbMATH Keywords: rigid insert
zbMATH Keywords: stress concentration factors
zbMATH Keywords: boundary layer solution
MaRDI profile type: Publication
full work available at URL: s004660050377
OpenAlex ID: W2006785088
DOI: 10.1007/S004660050377
description: scientific article; zbMATH DE number 1342714