The interaction between a screw dislocation and a piezoelectric fiber composite with a wedge crack

The interaction problem between a screw dislocation and a piezoelectric fiber composite with a semi-infinite wedge crack is investigated in this paper. The piezoelectric media are assumed to be transversely isotropic with the poling direction along the x ₃ direction. The screw dislocation considered here involves a Burgers vector parallel to the poling direction with a line force and a line charge being applied at the core of the dislocation. Both cases of the screw dislocation located at the matrix and inclusion are observed. The analytical derivation is based on the complex variable and the conformal mapping methods. The exact solutions are obtained to calculate the forces on the dislocation and the crack-tip stress and electric displacement intensity factors. Based on these results, the anti-shielding and shielding effects for different loadings, material combinations, and geometric configurations are discussed in detail.