A partially broken piezoelectric fiber in an elastic matrix

Piezoelectric ceramics are often combined with other materials to fabricate composites, which are used for constructions of intelligent systems. This paper is concerned with the fracture of a piezoelectric fiber embedded in an elastic matrix of finite radius. The fiber composite medium is subjected to the axially symmetric mechanical and electrical loads. Fourier and Hankel transforms are used to reduce the problem to the solution of a system of integral equations. Numerical solutions for the crack tip fields are obtained for various crack sizes and different piezoelectric fiber volume fractions. Both impermeable and permeable crack-face electrical boundary conditions are considered. Applicability and effect of the crack-face electrical boundary conditions are discussed.