Mathematical Modeling of Weak and Strong Piezoelectric Interfaces

We study the electromechanical behavior of a thin interphase, constituted by a piezoelectric anisotropic thin layer, embedded between two generic three-dimensional piezoelectric bodies by means of the asymptotic analysis. After defining a small real dimensionless parameter ε, which will tend to zero, we characterize two different limit models and their associated limit problems, the so-called weak and strong interface models, respectively. Moreover, we identify the non classical electromechanical transmission conditions at the interface between the two three-dimensional bodies.