A mode III partially electroded interface crack between two different piezoelectric
materials under the action of antiplane mechanical and in-plane electric loadings is
analyzed. From the point of view of the boundary conditions on the crack faces,
one zone of the crack faces in such crack can be considered as electrically
conductive while the other parts are electrically permeable. Using special
representations of field variables via sectionally analytic vector-functions,
a homogeneous combined Dirichlet–Riemann boundary value problem is
formulated. An exact analytical solution of this problem is obtained. Analytical
expressions for the shear stress, electric field and also for the crack faces sliding
displacement jump are derived. The intensity factors for stress and electric fields
are determined as well. The dependencies of the mentioned values on the
magnitude of the external electric loading and different ratios between the
electrically conductive and electrically permeable crack face zone lengths are also
demonstrated.
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