Abstract
An effective method is developed and used to investigate the elastic field and the electric field of a crack in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium. The matrix is subjected to the remote antiplane shear and inplane electric field. The analytical solution is obtained using the conformal mapping and the theorem of analytic continuation. Specific solutions which are compared with existing ones are provided. The characteristics of the elastic field and electric field singularities at the crack tip are analyzed and the corresponding crack extension forces are derived.
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Wu, L. A crack in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium. International Journal of Fracture 104, 1–14 (2000). https://doi.org/10.1023/A:1007679627016
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DOI: https://doi.org/10.1023/A:1007679627016