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Griffith's crack in a 2-D piezoelectric domain with an arbitrary polarization direction: Analytical/X-FEM solution

Griffith's crack in a 2-D piezoelectric domain with an arbitrary polarization direction:... The analytic solution for Griffith's crack in an infinite 2-D piezoelectric domain is obtained for arbitrary polarization direction. The analytical approach considered here is simple and different from the existing methodology (where the solutions are firstly obtained for an elliptical void and then degenerated to Griffith's crack solution). The obtained results have shown that intensity factors (IFs) are independent of the polarization direction for Griffith's crack in an infinite 2-D piezoelectric domain. The solution for a polarization perpendicular to the crack is also obtained and validated with existing results. The results of IFs are also obtained numerically using extended finite element method (X-FEM). It is observed that IFs for a finite specimen is polarization direction dependent. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Strength, Fracture and Complexity iospress

Griffith's crack in a 2-D piezoelectric domain with an arbitrary polarization direction: Analytical/X-FEM solution

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Publisher
IOS Press
Copyright
Copyright © 2013 by IOS Press, Inc
ISSN
1567-2069
eISSN
1875-9262
DOI
10.3233/SFC-130152
Publisher site
See Article on Publisher Site

Abstract

The analytic solution for Griffith's crack in an infinite 2-D piezoelectric domain is obtained for arbitrary polarization direction. The analytical approach considered here is simple and different from the existing methodology (where the solutions are firstly obtained for an elliptical void and then degenerated to Griffith's crack solution). The obtained results have shown that intensity factors (IFs) are independent of the polarization direction for Griffith's crack in an infinite 2-D piezoelectric domain. The solution for a polarization perpendicular to the crack is also obtained and validated with existing results. The results of IFs are also obtained numerically using extended finite element method (X-FEM). It is observed that IFs for a finite specimen is polarization direction dependent.

Journal

Strength, Fracture and Complexityiospress

Published: Jan 1, 2013

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