The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
type: Item
instance of: scholarly article
title: The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
zbMATH Open document ID: 0546.73033
DOI: 10.1016/0020-7683(84)90060-X
published in: International Journal of Solids and Structures
publication date: 1984-01-01T00:00:00Z
review text: This investigation is concerned with the problem of a hollow sphere subjected to uniform internal and external pressure within the equilibrium theory of finite elasticity. The sphere is composed of homogeneous, isotropic, compressible materials of special type, namely harmonic materials. Explicit closed-form solutions for the deformation and stress fields are obtained. The true stress distribution, expressed as a function of the undeformed coordinates, is shown to be essentially independent of material properties. The two cases of internal pressure only, and external pressure only, are examined in detail.
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 3870716
zbMATH Keywords: hollow sphere
zbMATH Keywords: uniform internal and external pressure
zbMATH Keywords: equilibrium theory
zbMATH Keywords: homogeneous, isotropic, compressible materials
zbMATH Keywords: harmonic materials
zbMATH Keywords: Explicit closed-form solutions
zbMATH Keywords: deformation and stress fields
author: Rohan Abeyaratne
author: Cornelius O. Horgan
MaRDI profile type: Publication
full work available at URL: 0020-7683(84)90060-x
OpenAlex ID: W2030282347
description: scientific article; zbMATH DE number 3870716