Green function and its application for a piezoelectric plate with various openings
type: Item
instance of: scholarly article
title: Green function and its application for a piezoelectric plate with various openings
zbMATH Open document ID: 0951.74018
published in: Archive of Applied Mechanics
publication date: 2001-01-02T00:00:00Z
review text: This paper is concerned with analytic solutions for various openings embedded in an infinite piezoelectric plate subjected to mechanical and electrical static loads. The Green function solution is obtained by use of Lekhnitskii's formalism and the method of conformal mapping. The author studies the interaction between cracks and holes of various types. Some numerical results are presented for the stress and electric displacement intensity factors, and they are compared with the results obtained by the finite element method. The paper presents also an alternative static solution for examining the stress intensity factors in infinite piezoelectric plates.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 1359948
zbMATH Keywords: analytic solutions
zbMATH Keywords: infinite piezoelectric plate
zbMATH Keywords: Green function
zbMATH Keywords: Lekhnitskii's formalism
zbMATH Keywords: method of conformal mapping
zbMATH Keywords: cracks
zbMATH Keywords: holes
zbMATH Keywords: electric displacement intensity factors
zbMATH Keywords: stress intensity factors
author: Qing H. Qin
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
full work available at URL: s004190050210
OpenAlex ID: W2009629166
DOI: 10.1007/S004190050210
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description: scientific article; zbMATH DE number 1359948