Boundary integral formulations for three-dimensional anisotropic piezoelectric solids
type: Item
instance of: scholarly article
title: Boundary integral formulations for three-dimensional anisotropic piezoelectric solids
zbMATH Open document ID: 0826.73066
DOI: 10.1007/BF00350262
author: Yanyan Li
published in: Computational Mechanics
publication date: 1995-11-22T00:00:00Z
review text: A boundary integral equation method is applied to the solutions of three- dimensional piezoelectric solids. Based on the reciprocal relations, a pair of boundary integral formulae were obtained for evaluation of the fields in the medium. The Green's functions and their first partial derivatives employed in the formulations are evaluated numerically from the line integral solutions derived from the Fourier transform. By constructing some augmented matrices, we show that the topic can be treated systematically as that in the uncoupled elastic and dielectric problems. As illustration, we present results for the internal fields of a spherical cavity in an infinite piezoelectric medium loaded by a uniform traction on its boundary.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 765355
zbMATH Keywords: gallium arsenide
zbMATH Keywords: reciprocal relations
zbMATH Keywords: Green's functions
zbMATH Keywords: line integral solutions
zbMATH Keywords: Fourier transform
zbMATH Keywords: spherical cavity
zbMATH Keywords: uniform traction
MaRDI profile type: Publication
cites work: Q3219912
cites work: Green's functions and the non-uniform transformation problem in a piezoelectric medium
cites work: Contact of isotropic square plates with rigid spherical indentors
cites work: Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions
cites work: Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites
cites work: Q3243972
cites work: Three-dimensional eigenfunction analysis of a crack in a piezoelectric material
cites work: Fracture mechanics for piezoelectric ceramics
cites work: Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material
cites work: Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis
full work available at URL: https://doi.org/10.1007/bf00350262
OpenAlex ID: W2319550964
description: scientific article; zbMATH DE number 765355