Green's function for incremental nonlinear elasticity: shear bands and boundary integral formulation
type: Item
instance of: scholarly article
title: Green's function for incremental nonlinear elasticity: shear bands and boundary integral formulation
zbMATH Open document ID: 1102.74303
DOI: 10.1016/S0022-5096(01)00090-4
author: D. Capuani
author: Davide Bigoni
published in: Journal of the Mechanics and Physics of Solids
publication date: 2002-06-27T00:00:00Z
review text: An elastic, incompressible, infinite body is considered subject to plane and homogeneous deformation. At certain value of the loading, when the material is still in the elliptic range, an incremental concentrated line load is considered acting at an arbitrary location in the body and extending orthogonally to the plane of deformation. This plane strain problem is solved, so that a Green's function for incremental, nonlinear elastic deformation is obtained. This is used in two different ways: to quantify the decay rate of self-equilibrated loads in a homogeneously stretched elastic solid; and to give a boundary element formulation for incremental deformations superimposed upon a given homogeneous strain.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 1761028
zbMATH Keywords: decay effect perturbative approach
reviewed by: Jan Sladek
MaRDI profile type: Publication
cites work: Saint-Venant End Effects for Incremental Plane Deformations of Incompressible Nonlinearly Elastic Materials
cites work: ON THE INDENTATION OF A HIGHLY ELASTIC HALF-SPACE
cites work: Q3280274
cites work: The axisymmetric Boussinesq problem of an initially stressed neo-Hookean half-space for a punch of arbitrary profile
cites work: Diffusion of self-equilibrating end loads in plane strain plasticity
cites work: Three-dimensional contact problem for a prestressed elastic body
cites work: Q5724171
cites work: General theory of small elastic deformations superposed on finite elastic deformations
cites work: Q5537118
cites work: Bifurcation phenomena in the plane tension test
cites work: Q3327850
cites work: Q5733282
cites work: Q5844404
cites work: On Saint Venant’s principle
cites work: Q3327849
cites work: Point Force Solution for an Infinite Transversely Isotropic Solid
cites work: The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids
cites work: Interfacial Stresses Induced by Arbitrary Loading of Dissimilar Elastic Half-spaces Joined Over a Circular Region
cites work: THE PENNY-SHAPED CRACK ON AN INTERFACE
cites work: Self-similar problems in elastodynmics
cites work: Bifurcation phenomena in the plane compression test
description: scientific article; zbMATH DE number 1761028