Nonsymmetric cavity formation at a circular inclusion under remote equibiaxial load
type: Item
instance of: scholarly article
title: Nonsymmetric cavity formation at a circular inclusion under remote equibiaxial load
zbMATH Open document ID: 0921.73083
DOI: 10.1016/0022-5096(95)00021-A
author: Alan J. Levy
published in: Journal of the Mechanics and Physics of Solids
publication date: 1999-08-09T00:00:00Z
review text: This paper examines the phenomenon of cavity formation through an analysis of the problem of a plane circular elastic inclusion embedded in an unbounded elastic matrix subject to a remote equibiaxial load. Consistent with infinitesimal strain kinematics, nonlinear behavior is confined to a cohesive zone so that inclusion-matrix interaction is characterized by a nonlinear interface force-interface separation law requiring a characteristic length for its prescription. Equilibrium solutions for both rotationally symmetric and nonsymmetric cavity shape are analyzed based on an integral equation formulation together with known elasticity solutions for circular domains.
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 1025641
zbMATH Keywords: elastic inclusion
zbMATH Keywords: unbounded elastic matrix
zbMATH Keywords: nonlinear interface force-interface separation law
zbMATH Keywords: equilibrium solutions
zbMATH Keywords: integral equation formulation
MaRDI profile type: Publication
cites work: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
cites work: A note on a bifurcation problem in finite plasticity related to void nucleation
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q4067388
cites work: A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
cites work: On Movchan's theorems for stability of continuous systems
cites work: Separation at a circular interface under biaxial load
cites work: Q4310029
cites work: Q5518079
cites work: A Continuum Model for Void Nucleation by Inclusion Debonding
cites work: Q3244632
cites work: Q4692840
full work available at URL: 0022-5096(95)00021-a
OpenAlex ID: W2081590391
description: scientific article; zbMATH DE number 1025641