The translation of a rigid ellipsoidal inclusion embedded in an anisotropic piezoelectric medium
type: Item
instance of: scholarly article
title: The translation of a rigid ellipsoidal inclusion embedded in an anisotropic piezoelectric medium
zbMATH Open document ID: 0815.73046
DOI: 10.1016/0020-7683(94)90084-1
author: Yungyang Chen
published in: International Journal of Solids and Structures
publication date: 1995-07-10T00:00:00Z
review text: The author shows that the exterior stress and electric fields generated by the infinitesimal translation of a rigid ellipsoidal inclusion in an infinite piezoelectric medium are the same as those induced by a layer of body force and electric charge applied on the ellipsoidal surface. Numerical results are presented for two materials. The use of Gaussian double quadratures with variable station points permits an efficient evaluation of the translational stiffness of the matrix for arbitrary aspect ratios of the inclusion. Results are shown to fit previous ones based on exact solutions. The given numerical tables, however, show that a large number of integration points are needed in the limit cases of very small (0.01) and very large (100) aspect ratios, as compared to the other cases.
reviewed by: Ahmed Ghaleb
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 626232
zbMATH Keywords: infinitesimal translation
zbMATH Keywords: Gaussian double quadratures
zbMATH Keywords: translational stiffness
MaRDI profile type: Publication
full work available at URL: 0020-7683(94)90084-1
OpenAlex ID: W4230028479
description: scientific article; zbMATH DE number 626232