Crack branch in piezoelectric bimaterial system

Abstract A solution is presented for a class of two-dimensional electroelastic branched crack problems in various bimaterial combinations. The combinations may be piezoelectric–piezoelectric, or one is piezoelectric and the other is not. Explicit Green’s function for an interface crack subject to an edge dislocation is developed within the framework of two-dimensional electroelasticity, allowing the branched crack problem to be expressed in terms of coupled singular integral equations. The integral equations are obtained by the method that models a kink as a continuous distribution of edge dislocations, and the unknown dislocation density functions are defined on the line of branch crack only. Competition between crack extension along the interface and kinking into the substrate is investigated using the integral equations and the maximum energy release rate criterion. Numerical results are presented to study the effect of electric field on the path of crack extension.

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