Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems
type: Item
instance of: scholarly article
title: Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems
zbMATH Open document ID: 0798.73046
DOI: 10.1016/0020-7225(94)90154-6
author: Martin L. Dunn
published in: International Journal of Engineering Science
publication date: 1994-11-03T00:00:00Z
review text: The author studied the electrostatic Green's function for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems. He obtained explicit formulae for the coupled electrostatic Green's functions for a transversely isotropic piezoelectric medium. He has shown the existence of four Green's functions which represent the coupled elastic and electric response to an applied unit point force or point electric charge. The resulting expressions are obtained by utilizing the contour integral representation of the Green's functions derived by Deeg (cited in the paper). The evaluation of the contour integrals then follows Willis' work in anisotropic elasticity. He also showed that when piezoelectric coupling is absent, the results reduce to those for uncoupled elasticity and electrostatics. The author then illustrated the use of Green's functions in the analysis of piezoelectric inclusion and inhomogeneity problems. Finally, he obtained explicit expressions for a set of four tensors analogous to Eshelby's tensor for elastic inclusions. This work is quite interesting and might be very useful for those researchers working in the area of piezoelectric composites.
reviewed by: Hilmi Demiray
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 65N99
zbMATH DE Number: 561785
zbMATH Keywords: coupled Green's functions
zbMATH Keywords: existence
zbMATH Keywords: contour integral representation
zbMATH Keywords: anisotropic elasticity
zbMATH Keywords: piezoelectric coupling
zbMATH Keywords: Eshelby's tensor
MaRDI profile type: Publication
full work available at URL: 0020-7225(94)90154-6
OpenAlex ID: W2079842545
cites work: Q3243480
cites work: Q3798341
cites work: Q5824294
cites work: Point Force Solution for an Infinite Transversely Isotropic Solid
cites work: Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material
cites work: Q3243972
cites work: Q5723633
description: scientific article; zbMATH DE number 561785