Electrically charged electroded crack with a contact zone in a piezoelectric bimaterial

Abstract

An exact analytical approach to the analysis of plane deformation of piezoelectric bimaterial with
electroded electrically charged crack located at the interface of its components is proposed. It is
assumed that the normal and shear stresses are established at infinity and an electric field is
acting parallel to the crack faces. It is also allowed for the crack faces can contact along the zone
of an unknown length, adjacent to one of the crack tip. The combined Dirichlet-Riemann boundary
value problems is formulated and solved analytically. Using the contact conditions, the length of
the crack contact zone and corresponding electromechanical characteristics are found. The
numerical illustration of the solutions obtained is performed. It is shown that both a remote
electric field and a total charge of the crack significantly affect the length of the contact area and
the electromechanical characteristics in the vicinity of the crack.