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Singular electro-mechanical fields near the apex of a piezoelectric bonded wedge under antiplane shear
Affiliation:1. Department of Chemical Engineering, National Cheng Kung University, Tainan 701, Taiwan;2. National Synchrotron Radiation Research Center, Hsinchu 300, Taiwan;1. Université de Lyon, CNRS, INSA-Lyon, LaMCoS UMR5259, F-69621, France;2. Department of Engineering Science, The University of Oxford, Parks Road, Oxford OX1 3PJ, United Kingdom;1. Faculty of Engineering, University of Zanjan, Zanjan, Iran;2. School of Engineering, University of British Columbia, Kelowna, Canada
Abstract:This paper presents the explicit forms of singular electro-mechanical field in a piezoelectric bonded wedge subjected to antiplane shear loads. Based on the complex potential function associated with eigenfunction expansion method, the eigenvalue equations are derived analytically. Contrary to the anisotropic elastic bonded wedge, the results of this problem show that the singularity orders are single-root and may be complex. The stress intensity factors of electrical and mechanical fields are dependent. However, when the wedge angles are equal (α=β), the orders become real and double-root. The real stress intensity factors of electrical and mechanical fields are then independent. The angular functions have been validated when they are compared with the results of several degenerated cases in open literatures.
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