Abstract
A plane problem for an electrically conducting interface crack in a piezoelectric bimaterial is studied. The bimaterial is polarized in the direction parallel to the crack faces and loaded by remote tension and shear stresses and an electrical field parallel to the crack faces. All fields are assumed to be independent of the coordinate codirected with the crack front. Special presentations of electromechanical quantities via sectionally-analytic functions are used and an oscillating singularity at the crack tips is obtained. To remove this singularity a slipping zone is introduced at the crack continuation. In this case combined Dirichlet-Riemann and Hilbert boundary value problems are formulated and solved analytically. Analytical expressions for the specific mechanical and electrical parameters are derived. For the determination of the slipping zone length, a simple transcendental equation is derived. Stress and electric field intensity factors and, also, the slipping zone length are found for various material combinations and different loadings.
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