Axially poled solid cylinder under tension with a flat annular crack

Fumio Narita; Yasuhide Shindo; Sen Lin

doi:10.1002/zamm.200610301

Axially poled solid cylinder under tension with a flat annular crack

Fumio Narita, Yasuhide Shindo, Sen Lin

ENV - Frontier Science for Advanced Environment

Tohoku University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We investigate the electroelastic response of a flat annular crack in a solid piezoelectric cylinder of finite radius under mode I loading. By the use of Fourier and Hankel transforms, the mixed boundary value problem is reduced to a singular integral equation. Numerical values on the stress intensity factor, energy release rate, and energy density factor for piezoelectric cylinders are obtained to show the influence of applied electric fields, and the results are presented in graphical form. Special cases of a penny-shaped crack and a circumferential edge crack are also discussed.

Original language	English
Pages (from-to)	278-289
Number of pages	12
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	87
Issue number	4
DOIs	https://doi.org/10.1002/zamm.200610301
Publication status	Published - 2007 Apr

Keywords

Crack
Elasticity
Electronic devices
Integral transforms
Piezoelectric ceramics

Access to Document

10.1002/zamm.200610301

Cite this

@article{f493535b94bf48bda6c1f6ff8e05e6b5,

title = "Axially poled solid cylinder under tension with a flat annular crack",

abstract = "We investigate the electroelastic response of a flat annular crack in a solid piezoelectric cylinder of finite radius under mode I loading. By the use of Fourier and Hankel transforms, the mixed boundary value problem is reduced to a singular integral equation. Numerical values on the stress intensity factor, energy release rate, and energy density factor for piezoelectric cylinders are obtained to show the influence of applied electric fields, and the results are presented in graphical form. Special cases of a penny-shaped crack and a circumferential edge crack are also discussed.",

keywords = "Crack, Elasticity, Electronic devices, Integral transforms, Piezoelectric ceramics",

author = "Fumio Narita and Yasuhide Shindo and Sen Lin",

year = "2007",

month = apr,

doi = "10.1002/zamm.200610301",

language = "English",

volume = "87",

pages = "278--289",

journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",

issn = "0044-2267",

publisher = "Wiley-VCH Verlag",

number = "4",

}

TY - JOUR

T1 - Axially poled solid cylinder under tension with a flat annular crack

AU - Narita, Fumio

AU - Shindo, Yasuhide

AU - Lin, Sen

PY - 2007/4

Y1 - 2007/4

N2 - We investigate the electroelastic response of a flat annular crack in a solid piezoelectric cylinder of finite radius under mode I loading. By the use of Fourier and Hankel transforms, the mixed boundary value problem is reduced to a singular integral equation. Numerical values on the stress intensity factor, energy release rate, and energy density factor for piezoelectric cylinders are obtained to show the influence of applied electric fields, and the results are presented in graphical form. Special cases of a penny-shaped crack and a circumferential edge crack are also discussed.

AB - We investigate the electroelastic response of a flat annular crack in a solid piezoelectric cylinder of finite radius under mode I loading. By the use of Fourier and Hankel transforms, the mixed boundary value problem is reduced to a singular integral equation. Numerical values on the stress intensity factor, energy release rate, and energy density factor for piezoelectric cylinders are obtained to show the influence of applied electric fields, and the results are presented in graphical form. Special cases of a penny-shaped crack and a circumferential edge crack are also discussed.

KW - Crack

KW - Elasticity

KW - Electronic devices

KW - Integral transforms

KW - Piezoelectric ceramics

UR - http://www.scopus.com/inward/record.url?scp=34248156210&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248156210&partnerID=8YFLogxK

U2 - 10.1002/zamm.200610301

DO - 10.1002/zamm.200610301

M3 - Article

AN - SCOPUS:34248156210

SN - 0044-2267

VL - 87

SP - 278

EP - 289

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

IS - 4

ER -

Axially poled solid cylinder under tension with a flat annular crack

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this