Mathematical Models for Thin Piezoelectric Interphases Including Thermal Effects

Abstract

We study the thermo-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 including also thermal effects. 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 thermo-piezoelectric interface models, respectively. Moreover, we identify the non classical thermo-electromechanical transmission conditions at the interface between the two three-dimensional bodies.