Three-dimensional interfacial Green's functions in anisotropic bimaterials
type: Item
instance of: scholarly article
title: Three-dimensional interfacial Green's functions in anisotropic bimaterials
zbMATH Open document ID: 1099.74014
DOI: 10.1016/S0307-904X(02)00126-9
author: S. Rajasekar
published in: Applied Mathematical Modelling
publication date: 2004-07-01T00:00:00Z
review text: The authors obtain complete three-dimensional interfacial Green functions for anisotropic elastic bimaterials, i.e. the displacements, stresses, and their derivatives with respect to source coordinates. They are expressed in terms of one-dimensional finite-part integrals. The authors show that the interfacial displacements, stresses and derivatives of displacements and stresses, are inversely proportional to \(r\), \(r^2\) and \(r^3\), where \(r\) is the distance between the field and the source point. To evaluate the involved one-dimensional finite-part integrals, a numerical scheme is proposed. Some numerical examples show the discontinuity properties of Green functions across the interface.
reviewed by: Olivian Simionescu
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 2077362
zbMATH Keywords: Fourier transform
zbMATH Keywords: finite-part integrals
zbMATH Keywords: Stroh formalism
MaRDI profile type: Publication
cites work: A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids.
cites work: Greens functions for boundary element analysis of anisotropic bimaterials
cites work: Stress fields in composite laminates
cites work: Free edge stress fields in composite laminates
cites work: Static Green's functions in multilayered half-spaces
cites work: Elastic solutions for a transversely isotropic half-space subjected to a point load
cites work: Elastic solutions for a transversely isotropic half-space subjected to buried asymmetric-loads
cites work: Positive Definiteness of Anisotropic Elastic Constants
cites work: Boundary element analysis of fracture mechanics in anisotropic bimaterials
cites work: Three-dimensional Green's functions in anisotropic bimaterials
cites work: The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids
cites work: Three-dimensional Green's functions in anisotropic magneto-electro-elastic bimaterials
cites work: The numerical evaluation of Hadamard finite-part integrals
cites work: Numerical evaluation of hypersingular integrals
cites work: Some numerical algorithms to evaluate Hadamard finite-part integrals
cites work: Generalization of the Stroh formalism to 3-dimensional anisotropic elasticity
cites work: Mapping flat cracks onto penny-shaped cracks: Shear loadings
cites work: Q4692890
cites work: Stress analyses around holes in composite laminates using boundary element method
full work available at URL: s0307-904x(02)00126-9
OpenAlex ID: W2106091912
description: scientific article; zbMATH DE number 2077362