The electroelastic interaction between a piezoelectric screw dislocation and an elliptical inhomogeneity containing a confocal blunt crack under infinite longitudinal shear and in-plane electric field was investigated. Using the sectionally holomorphic function theory, Cauchy singular integral, singularity analysis of complex functions and theory of Riemann boundary problem, the explicit series solution of stress field was obtained when the screw dislocation was located in inhomogeneity. The intervention law of the interaction between blunt crack and screw dislocation in inhomogeneity was discussed. The analytical expressions of generalized stress and strain field of inhomogeneity were calculated, while the image force, field intensity factors of blunt crack were also presented. Moreover, a new matrix expression of the energy release rate and generalized strain energy density were deduced. With the size variation of blunt crack, the results could be reduced to the case of the interaction between a piezoelectric screw dislocation and a line crack in inhomogeneity. Numerical analysis were then conducted to reveal the effects of the dislocation location, the size of inhomogeneity and blunt crack and the applied load on the image force, energy release rate and strain energy density. The influence of dislocation on energy release rate and strain energy density was also revealed.

Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Confocal Elliptic Blunt Crack with Elliptical Inhomogeneity. M.Yu, Y.W.Liu, H.P.Song, C.Xie: Theoretical and Applied Fracture Mechanics, 2010, 54[3], 156-65