Summary
In this paper, the eigen-equations governing antiplane stress singularities in a bonded piezoelectric wedge are derived analytically. Boundary conditions are set as various combinations of traction-free, clamped, electrically open and electrically closed ones. Application of the Mellin transform to the stress/electric displacement function or displacement/electric potential function and particular boundary and continuity conditions yields identical eigen-equations. All of the analytical results are tabulated. It is found that the singularity orders of a bonded bimaterial piezoelectric wedge may be complex, as opposed to those of the antiplane elastic bonded wedge, which are always real. For a single piezoelectric wedge, the eigen-equations are independent of material constants, and the eigenvalues are all real, except in the case of the combination C–D. In this special case, C–D, the real part of the complex eigenvalues is not dependent on material constants, while the imaginary part is.
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Received 26 March 2002; accepted for publication 2 July 2002
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Chue, C., Chen, C. Antiplane stress singularities in a bonded bimaterial piezoelectric wedge. Archive of Applied Mechanics 72, 673–685 (2003). https://doi.org/10.1007/s00419-002-0241-x
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DOI: https://doi.org/10.1007/s00419-002-0241-x