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A non-hypersingular traction \textit{boundary integral equation method} (BIEM)
is proposed for the treatment of crack systems in piezoelectric or
anisotropic plane domains loaded by time-harmonic waves. The solution is
based on the frequency dependent fundamental solution obtained by Radon
transform. The proposed method is flexible, numerically efficient and
has virtually no limitations regarding the material type, crack geometry
and type of wave loading.
The accuracy and convergence of the BIEM solution for stress intensity
factors is validated by comparison with existing results from the
literature. Simulations for different crack configurations such as
coplanar, collinear or cracks in arbitrary position to each other are
presented and discussed. They demonstrate among others the strong effect
of electromechanical coupling, show the frequency dependent shielding
and amplification resulting from crack interaction and reveal the
sensitivity of the K-factors on the complex influence of both wave-crack
and crack-crack interaction. |
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