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References (11)
-
Zhengong Zhou, Pei-wei Zhang, Lin-zhi Wu (2007)
The closed form solution of a Mode-I crack in the piezoelectric/piezomagnetic materialsInternational Journal of Solids and Structures, 44
-
J. Chen, Zhengxing. Liu, Z. Zou (2003)
Electromechanical impact of a crack in a functionally graded piezoelectric mediumTheoretical and Applied Fracture Mechanics, 39
-
V. Parton (1976)
Fracture mechanics of piezoelectric materialsActa Astronautica, 3
-
S. Ueda (2006)
Transient response of a center crack in a functionally graded piezoelectric strip under electromechanical impactEngineering Fracture Mechanics, 73
-
D. Jin, Z. Meng (2003)
Functionally graded PZT/ZnO piezoelectric compositesJournal of Materials Science Letters, 22
-
Nadim Shbeeb, W. Binienda (1999)
Analysis of an Interface Crack for a Functionally Graded Strip Sandwiched Between Two Homogeneous Layers of Finite ThicknessEngineering Fracture Mechanics, 64
-
Chunyu Li, G. Weng (2002)
Antiplane Crack Problem in Functionally Graded Piezoelectric MaterialsJournal of Applied Mechanics, 69
-
Fuqian Yang (2001)
Fracture mechanics for a Mode I crack in piezoelectric materialsInternational Journal of Solids and Structures, 38
-
I. Gradshteyn, I. Ryzhik, A. Jeffrey, Y. Geronimus, M. Tseytlin, Y. Fung (1966)
Table of Integrals, Series, and ProductsJournal of Lubrication Technology, 98
-
Bateman Manuscript, H. Bateman, A. Erdélyi (1955)
Tables of integral transformsThe Mathematical Gazette, 39
-
P. Morse, H. Feshbach (1955)
Methods of theoretical physics
- Publisher
- IOS Press
- Copyright
- Copyright © 2009 by IOS Press, Inc
- ISSN
- 1567-2069
- eISSN
- 1875-9262
- DOI
- 10.3233/SFC-2009-0091
- Publisher site
- See Article on Publisher Site
Abstract
The basic solution of a mode-I finite length crack in an infinite functionally graded piezoelectric material plane was investigated by using the generalized Almansi's theorem and the Schmidt method. The problem was formulated through Fourier transform into two pairs of dual integral equations, in which unknown variables are jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The solution of the present paper shows that the singular stresses and the singular electric displacements at the crack tips in functionally graded piezoelectric materials carry the same forms as those in homogeneous piezoelectric materials; however, the magnitudes of intensity factors depend on the gradient of functionally graded piezoelectric material properties.
Journal
Strength, Fracture and Complexity – IOS Press
Published: Jan 1, 2009