Preliminary results on the homogenization of thin piezoelectric perforated shells
Provides a theoretical framework for modeling perforated piezoelectric shells, but is purely mathematical with no empirical validation.
The authors develop a homogenization method for thin piezoelectric perforated shells using periodic unfolding, deriving explicit limit constitutive laws as hole size vanishes.
We consider a composite piezoelectric material whose reference configuration is a thin shell with fixed thickness. In this work, we give a new approach based on the periodic unfolding method to justify the modelling of a thin piezoelectric perforated shells and we establish the limit constitutive law by letting the size of holes is supposed to go to zero. This allows to use the homogenization technique to derive the limitting equations and the homogenizaed coefficients are explicity described.