The central crack problem for a functionally graded piezoelectric strip

In this paper the dynamic anti-plane problem for a functionally graded piezoelectric strip containing a central crack vertical to the boundary is considered. The crack is assumed to be electrically impermeable or permeable. Integral transforms and dislocation density functions are employed to reduce...

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Bibliographic Details
Published in:International journal of fracture 2003-06, Vol.121 (3-4), p.81-94
Main Authors: Chen, Jian, Liu, Zhengxing, Zou, Zhenzhu
Format: Article
Language:English
Subjects:
Crack propagation
Crack tips
Dislocation density
Dynamic response
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Functionally gradient materials
Fundamental areas of phenomenology (including applications)
Impact loads
Integral transforms
Parameters
Permeability
Physics
Piezoelectricity
Singular integral equations
Solid mechanics
Stress intensity factors
Strip
Structural and continuum mechanics
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Summary:In this paper the dynamic anti-plane problem for a functionally graded piezoelectric strip containing a central crack vertical to the boundary is considered. The crack is assumed to be electrically impermeable or permeable. Integral transforms and dislocation density functions are employed to reduce the problem to Cauchy singular integral equations. Numerical results show the effects of loading combination parameter, material gradient parameter and crack configuration on the dynamic response. With the permeable assumption, the electric impact has no contribution to the crack tip field singularity. With the impermeable assumption, the direction of applied electric impact loading plays a great role in the behavior of dynamic stress intensity factor, and the existence of electric load always enhances the crack propagation. However, the crack is easier to propagate under the negative electric load than that under the positive electric load.
ISSN:0376-9429
1573-2673
DOI:10.1023/B:FRAC.0000005328.76279.4b