Modeling of active materials systems including electronic devices using asymptotic methods

Abstract

This paper provides general models of multilayered linear elastic plates containing piezoelectric inclusions. Several configurations are investigated. In particular, the plate with thin distributed inclusions is treated using homogenization techniques. Different sorts of electrical boundary conditions are imposed on the inclusions. A by product of this work is the possibility to choose the electrical boundary conditions in order to create an additional finite differences operator in the plate equation. Using the homogenization techniques, this operator becomes a partial differential operator.