Analytical solution for radial deformations of functionally graded isotropic and incompressible second-order elastic hollow spheres
type: Item
instance of: scholarly article
title: Analytical solution for radial deformations of functionally graded isotropic and incompressible second-order elastic hollow spheres
zbMATH Open document ID: 1332.74009
published in: Journal of Elasticity
publication date: 2013-02-11T00:00:00Z
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74G05
zbMATH DE Number: 6135621
zbMATH Keywords: shear modulus
zbMATH Keywords: hoop stress
zbMATH Keywords: first-order problem
zbMATH Keywords: second-order problem
author: Gianni Luca Iaccarino
author: R. C. Batra
MaRDI profile type: Publication
full work available at URL: s10659-011-9350-5
OpenAlex ID: W2106929980
cites work: Finite plane strain deformations of rubberlike materials
cites work: Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres
cites work: Functional grading of rubber tubes within the context of a molecularly inspired finite thermoelastic model
cites work: On the Role of Inhomogeneities in the Deformation of Elastic Bodies
cites work: A comparison of the response of isotropic inhomogeneous elastic cylindrical and spherical shells and their homogenized counterparts
cites work: Inflation, Extension, Torsion and Shearing of an Inhomogeneous Compressible Elastic Right Circular Annular Cylinder
cites work: Controlling the stress--strain inhomogeneities in axially sheared and radially heated hollow rubber tubes via functional grading.
cites work: Q5818032
cites work: Signorini's method for live loads and second-order effects
cites work: Treloar's Biaxial Tests and Kearsley's Bifurcation in Rubber Sheets
cites work: Exact solutions and material tailoring for functionally graded hollow circular cylinders
DOI: 10.1007/S10659-011-9350-5
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description: scientific article; zbMATH DE number 6135621