The fundamental solutions for the plane problem in piezoelectric media with an elliptic hole or a crack
type: Item
instance of: scholarly article
title: The fundamental solutions for the plane problem in piezoelectric media with an elliptic hole or a crack
zbMATH Open document ID: 0951.74017
DOI: 10.1007/BF02459192
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1999-10-25T00:00:00Z
review text: Using the complex potential method, the authors study fundamental solutions for two-dimensional transversely isotropic piezoelectric media with elliptic holes or cracks. Green's functions and fundamental solutions for field intensity factors are obtained for an infinite piezoelectric plane with an elliptic hole subjected to concentrated static loads. The solutions of both inside and outside the hole are reported. Likewise, the authors present solutions for various types of concentrated loads applied to a crack, without numerical results.
reviewed by: M. Cengiz Dökmeci
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 1322257
zbMATH Keywords: elliptic hole
zbMATH Keywords: crack
zbMATH Keywords: plane strain
zbMATH Keywords: complex potential method
zbMATH Keywords: fundamental solutions
zbMATH Keywords: two-dimensional transversely isotropic piezoelectric media
zbMATH Keywords: Green's functions
zbMATH Keywords: field intensity factors
zbMATH Keywords: infinite piezoelectric plane
zbMATH Keywords: concentrated static loads
author: Cunfa Gao
author: Wei-xun Fan
MaRDI profile type: Publication
cites work: Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material
cites work: Green's functions and the non-uniform transformation problem in a piezoelectric medium
cites work: Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems
cites work: Green's functions for transversely isotropic piezoelectric solids
cites work: Free vibrations of piezoelectric cylindrical shells filled with compressible fluid
cites work: Green's function of anisotropic piezoelectricity
cites work: A boundary integral formulation and 2D fundamental solution for piezoelastic media
cites work: Two-dimensional electroelastic fundamental solutions for general anisotropic piezoelectric media
cites work: On concentrated loads at the boundary of a piezoelectric half-plane
cites work: Completeness and nonuniqueness of general solutions of transversely isotropic elasticity
cites work: Nonaxisymmetric free vibrations of a spherically isotropic spherical shell embedded in an elastic medium
cites work: New developments concerning piezoelectric materials with defects
cites work: On the fracture mechanics of piezoelectric solids
full work available at URL: https://doi.org/10.1007/bf02459192
OpenAlex ID: W2332090917
description: scientific article; zbMATH DE number 1322257