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Proceedings Paper

Crack extension and kinking in piezoceramics
Author(s): X. L. Xu; R. K. Nimal D. Rajapakse
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Paper Abstract

The problem of an isolated crack as well as a crack with a kink in a plane piezoceramic medium is theoretically investigated in this study. The orientation of a crack with respect to the poling direction may be arbitrary. The approaches of Lekhnitskii's complex potentials and distributed dislocation modeling of cracks for elastic solids are extended to formulate the piezoelectric crack problems. For the case of an isolated arbitrarily oriented crack, analytical solutions are obtained for all electroelastic field variables. It is found that a change of crack orientation may alter the trend of toughness variation, and initiate failure along different planes depending on the direction of electrical field. For the case of a kinked crack, it is shown that the problem is reduced to solving three integral equations with the dislocation densities along the kink line as unknowns. The accuracy of the present scheme is confirmed by comparing with the limiting case of elastic solids. The results presented in this study provide important information on electroelastic fields and fracture parameters corresponding to kinked cracks in piezoceramics.

Paper Details

Date Published: 4 June 1999
PDF: 8 pages
Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); doi: 10.1117/12.350074
Show Author Affiliations
X. L. Xu, Univ. of Manitoba (Canada)
R. K. Nimal D. Rajapakse, Univ. of Manitoba (Canada)


Published in SPIE Proceedings Vol. 3667:
Smart Structures and Materials 1999: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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