Modeling multilayer piezoelectric actuators in a residual temperature field

Electromechanical field concentrations near the electrodes in multilayer piezoelectric ceramic actuators in a residual temperature field are examined. The problem is formulated by considering a representative unit in the real multilayer actuators. A singular integral equation, in which the unknown function is the electric potential ahead of the electrode tip, is derived. The solution of the integral equation gives the electroelastic fields near the electrode tip. The thermally induced electric field ahead of the electrode tip is found to be highly singular. On the other hand, the stresses and electric displacements are singular behind the electrode tip. Possible debonding and cracking between the electrodes and the piezoelectric medium is investigated by energy density theory.