Asymptotic piezoelectric plate models in microstretch elasticity

This paper is concerned with the formal deduction of piezoelectric plate models in microstretch elasticity, by means of an asymptotic analysis with respect to a small parameter ε, being the thickness of the plate. Two different boundary conditions pertaining to electric quantities are considered, leading to two different models: the sensor model and the actuator model, respectively. Each of the two plate problems turns out to be decoupled into a bending problem and a certain microstretch membrane problem, partially coupled with the electric behavior