  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 thickness $a$ of the plate and the
characteristic dimension $\varepsilon $ of the inclusions tend\ together to
zero, in the two following situations: first when $a \simeq \varepsilon$,
second when $a/\varepsilon$ tends to zero.
