Abstract
The generalized two-dimensional problem of a dielectric rigid line inclusion, at the interface between two dissimilar piezoelectric media subjected to piecewise uniform loads at infinity, is studied by means of the Stroh theory. The problem was reduced to a Hilbert problem, and then closed-form expressions were obtained, respectively, for the complex potentials in piezoelectric media, the electric field inside the inclusion and the tip fields near the inclusion. It is shown that in the media, all field variables near the inclusion-tip show square root singularity and oscillatory singularity, the intensity of which is dependent on the material constants and the strains at infinity. In addition, it is found that the electric field inside the inclusion is singular and oscillatory too, when approaching the inclusion-tips from inside the inclusion.
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Gao, Cf., Fan, Wx. An Interface Inclusion between Two Dissimilar Piezoelectric Materials. Applied Mathematics and Mechanics 22, 96–104 (2001). https://doi.org/10.1023/A:1015583218951
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DOI: https://doi.org/10.1023/A:1015583218951