Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity
type: Item
instance of: scholarly article
title: Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity
zbMATH Open document ID: 1159.74357
published in: Journal of Elasticity
publication date: 2009-04-20T00:00:00Z
full work available at URL: incompressible-cavitation.pdf
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 5544951
zbMATH Keywords: symmetry
zbMATH Keywords: incompressible elasticity
zbMATH Keywords: radial minimizer
zbMATH Keywords: caviation
author: Sivaloganathan, Jeyabal
author: Scott J. Spector
MaRDI profile type: Publication
OpenAlex ID: W2080258454
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
cites work: A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
cites work: Existence and nonexistence results on the radially symmetric cavitation problem
cites work: An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity
cites work: An existence theory for nonlinear elasticity that allows for cavitation
cites work: Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
cites work: Singular minimisers in the calculus of variations: A degenerate form of cavitation
cites work: On the stability of cavitating equilibria
cites work: On the existence of minimizers with prescribed singular points in nonlinear elasticity
cites work: Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
cites work: The Convergence of Regularized Minimizers for Cavitation Problems in Nonlinear Elasticity
cites work: Q5515507
cites work: Radially symmetric cavitation for hyperelastic materials
cites work: Regularity properties of deformations with finite energy
DOI: 10.1007/S10659-008-9171-3
description: scientific article; zbMATH DE number 5544951