A polling direction influence on fracture parameters of a limited permeable interface crack in a piezoelectric bi-material.

An arbitrary polling direction of the upper material is considered for a plane-strain problem of a crack between two different piezoelectric materials subject to a tensile mechanical stress and an electrical displacement that are applied at infinity. Limited permeable electrical conditions at the crack faces are considered. The problem is reduced to the problem of linear relationship by use of complex function theory. Formulas for stresses at the interface as well as the intensity factors at the crack tips are presented in the form of simple analytical formulas. A finite-sized piezoelectric bi-material plate with interface crack, which length is substantially less than the plate dimension, was analysed by the finite elements method. The influence of the polling direction on the fracture parameters is studied. The results are presented for different polarisation angles and for different combinations of the materials. A good agreement between analytical and numerical results is shown. [ABSTRACT FROM AUTHOR]