Application of the Θ-Method to 3D BEM Analysis of Cracks in Piezoelectric Components

Abstract:

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A general purpose direct BEM code has been developed for three-dimensional crack problems in piezoelectric structures. Special 3D non-continuous crack tip elements and several techniques for determining crack tip parameters were implemented. To calculate the electromechanical energy release rate for a virtual crack extension, the θ-method is employed, which was originally suggested by BONNET for linear elastic materials. The paper presents the generalization and numerical realization of the θ-method to 3D piezoelectric cracks. The great advantage of the θ-method is the direct computation of energy release rate, whereas the way via K-factors and the IRWIN matrix is more complicated. The efficiency and accuracy of the technique are shown for various example problems by comparing with analytical solutions.

Info:

Periodical:

Key Engineering Materials (Volumes 488-489)

Edited by:

Z. Tonković and M.H. Aliabadi

Pages:

363-366

DOI:

10.4028/www.scientific.net/KEM.488-489.363

Citation:

K. Wippler and M. Kuna, "Application of the Θ-Method to 3D BEM Analysis of Cracks in Piezoelectric Components", Key Engineering Materials, Vols. 488-489, pp. 363-366, 2012

Online since:

September 2011

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Price:

$38.00

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