Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linearly elastic solids
type: Item
instance of: scholarly article
title: Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linearly elastic solids
zbMATH Open document ID: 0870.73007
DOI: 10.1007/BF00041222
author: Cornelius O. Horgan
author: S. C. Baxter
published in: Journal of Elasticity
publication date: 1996-07-31T00:00:00Z
review text: The paper deals with stress behaviour in an anisotropic externally pressurized hollow cylinder for both radially and circumferentially orthotropic materials. In the former case, the maximum hoop stress occurs on the inner boundary but the stress concentration factor is infinite. In the latter case, the maximum hoop stress occurs at the outer boundary for sufficiently thick tubes. The analogous problem for an internally pressurized tube shows that a limiting process yields stresses in an anisotropic infinite medium containing a pressurized cavity. In a circular anisotropic disk rotating at a constant angular velocity about its centre, the stress at the centre is infinite for the radially orthotropic material, and the maximum hoop stress is not at the centre in the case of circumferential orthotropy. The stress behaviour described for the plane equilibrium problems occurs also in the corresponding three-dimensional problem for radially symmetric deformation of an anisotropic sphere.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 911938
zbMATH Keywords: radially symmetric deformation of anisotropic sphere
zbMATH Keywords: circumferentially orthotropic material
zbMATH Keywords: externally pressurized hollow cylinder
zbMATH Keywords: maximum hoop stress
zbMATH Keywords: stress concentration factor
zbMATH Keywords: internally pressurized tube
zbMATH Keywords: pressurized cavity
zbMATH Keywords: circular anisotropic disk
zbMATH Keywords: radially orthotropic material
MaRDI profile type: Publication
cites work: Q5724467
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full work available at URL: https://doi.org/10.1007/bf00041222
OpenAlex ID: W2027924053
description: scientific article; zbMATH DE number 911938