Abstract
Green's function for a composite (piecewise-uniform) piezoceramic plane with a crack between the phases is constructed explicitly. It is assumed that the crack edges are free from mechanical loads and the normal component of the electric induction vector and the tangential component of the electric field strength vector are continuous along the crack. The known representation of the solution of the problem of electroelasticity using six functions analytic in half-planes is used, Green's function for a composite plane without a crack being constructed in the first place. The solution of the fundamental problem is found using analytic continuation and is reduced to matrix Riemann problem in a finite interval. The stress intensity factors at the crack tips are also determined.
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