Singular stress and electric fields of piezoelectric ceramic strip with a finite crack under longitudinal shear
type: Item
instance of: scholarly article
title: Singular stress and electric fields of piezoelectric ceramic strip with a finite crack under longitudinal shear
zbMATH Open document ID: 0889.73062
DOI: 10.1007/BF01174314
author: K. Tanaka
author: Yasuhide Shindo
author: Fumio Narita
published in: Acta Mechanica
publication date: 1998-06-18T00:00:00Z
review text: The authors investigate the singular stress and electric field at the tip of a finite crack in an orthotropic, piezoelectric ceramic strip subjected to a uniform longitudinal shear stress (or strain), and to a uniform normal electric field (or induction) at the boundary. The problem is considerably simplified by considering an in-plane electric field and an out-of-plane displacement only. A Fourier transform is applied, resulting in two simultaneous (dual) integral equations. These, in turn, are reduced to a Fredhol integral equation of the second kind which is solved numerically. The energy release rate is calculated, and numerical results are presented and plotted to display the influence of the electric field on the stress intensity factor and on the energy release rate. In particular, the authors show that this influence cannot be disregarded for some types of boundary conditions.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74H35
zbMATH DE Number: 1063830
zbMATH Keywords: Griffith crack
zbMATH Keywords: two dual integral equations
zbMATH Keywords: Fredholm integral equation of second kind
zbMATH Keywords: influence of electric field on stress intensity factor
zbMATH Keywords: Fourier transform
zbMATH Keywords: energy release rate
reviewed by: Ahmed Ghaleb
MaRDI profile type: Publication
cites work: Crack Extension Force in a Piezoelectric Material
full work available at URL: https://doi.org/10.1007/bf01174314
OpenAlex ID: W1994034100
description: scientific article; zbMATH DE number 1063830