Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits
Éric Canon, Michel Lenczner · Mathematical Methods in the Applied Sciences · 2013
This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation, with various kinds of electric boundary conditions. We derive the corresponding effective models when the thicknessaof the plate and the characteristic dimensionϵof the inclusions tend together to zero, in the two following situations: first, whena ≃ ϵ, and second, whena ∕ ϵtends to zero. Copyright © 2013 John Wiley & Sons, Ltd.