Abstract
Abstract A general solution is derived for the problem of a microcrack near the tip of a semi-infinite main crack in a two-dimensional piezoelectric medium. The interaction problem is treated by extending the method of pseudo-tractions, which was used in the study of crack-interaction problems in elastic solids, to include the pseudo-electric displacements along the microcrack. An algebraic equations system is obtained to determine the unknown pseudo-tractions and pseudo-electric displacements. The accuracy of the present formulation is confirmed by the comparison of the present solutions with those reported in the literature for the limiting cases of isotropic elastic solids. Numerical results for the field intensity factors and the mechanical strain energy release rate at the crack tips are presented to show the influence of various loading conditions, and the location and orientation of a microcrack on main crack–microcrack interaction. Amplification or shielding effects for the main crack may be introduced due to the presence of a microcrack. Electric loading is shown to play an important role in crack-interactions in piezoelectric solids. The present formulation can be easily generalized to the case of multiple microcracks near the tip of a main crack.
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