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A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  27 May 2016

R. R. Bhargava  and
Pooja Raj Verma
R. R. Bhargava*
Affiliation:
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee–247667, India
Pooja Raj Verma*
Affiliation:
Department of Applied Science, Madan Mohan Malaviya University of Technology, Gorakhpur–273001, India
*
*Corresponding author. Email:rajrbfma@iitr.ac.in (R. R. Bhargava), poojarajvs@gmail.com (P. R. Verma)
*Corresponding author. Email:rajrbfma@iitr.ac.in (R. R. Bhargava), poojarajvs@gmail.com (P. R. Verma)
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Abstract

A problem of two equal, semi-permeable, collinear cracks, situated normal to the edges of an infinitely long piezoelectric strip is considered. Piezoelectric strip being prescribed out-of-plane shear stress and in-plane electric-displacement. The Fourier series and integral equation methods are adopted to obtain analytical solution of the problem. Closed-form analytic expressions are derived for various fracture parameters viz. crack-sliding displacement, crack opening potential drop, field intensity factors and energy release rate. An numerical case study is considered for poled PZT–5H, BaTiO3 and PZT–6B piezoelectric ceramics to study the effect of applied electro-mechanical loadings, crack-face boundary conditions as well as inter-crack distance on fracture parameters. The obtained results are presented graphically, discussed and concluded.

Keywords

Collinear cracksFourier series methodpiezoelectric stripsemi-permeable crack

MSC classification

Secondary: 78A48: Composite media; random media
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 4 , August 2016 , pp. 573 - 587
Copyright
Copyright © Global-Science Press 2016 

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