Electro-elastic interactions between a piezoelectric screw dislocation and an inhomogeneity containing a rigid core in the composite material

The electro-elastic coupling interactions between a piezoelectric screw dislocation, which located in the matrix, and an elliptical inhomogeneity containing an electrically conductive confocal elliptical rigid core in piezoelectric composite material was studied. Based on the complex variable method, the analytical solutions of the complex potentials in the matrix and the inclusion regions were obtained explicitly in the series form. The image force acting on the piezoelectric screw dislocation was calculated using the generalized Peach-Koehler formula. The effects of the elliptical rigid core and the electro-elastic properties of the piezoelectric materials on the image force and the equilibrium position of the dislocation were discussed. In addition, piezoelectric inclusion and elastic matrix composites was studied in this paper. The main results show that, the elliptical rigid core has a significant repelling action, which enhances the repulsive force acting on the dislocation produced by the stiff inhomogeneity and weakens the attractive force produced by the soft inhomogeneity. For the soft inhomogeneity, there is an unstable equilibrium position near the interface. The image force increases rapidly near the interface of the matrix and the inhomogeneity. There is no equilibrium position of the dislocation near the interface when the shear modulus of the inhomogeneity is much smaller than that of the matrix.