An investigation of an electrode at the interface of a piezoelectric bimaterial space under remote electromechanical loading

A plane strain problem for an electrode situated along the interface of a bimaterial piezoelectric space under remote electromechanical loading is considered. The electrode can be electrically charged, and the total charge is prescribed. The electrode is assumed to be thin, and therefore, all mechanical characteristics as well as the tangential component of the electric field are continuous across the whole interface. Due to a special transformation of the conventional presentations of electromechanical values via sectionally analytic functions, the new presentations convenient for the considered problem solution are found. On the base of these presentations, the problem is reduced to the standard Hilbert problem and solved exactly. All electromechanical values are found in closed analytical form, and their singular fields at the electrode tips are presented in the form of simple analytical formulas as well. As a particular case of the obtained solutions, the associated results for a thin electrode in a homogeneous material are obtained and discussed.