O ct 2 00 7 Preliminary results on the homogenization of thin piezoelectric perforated shells ∗
نویسنده
چکیده
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.
منابع مشابه
Homogenization of Thin Piezoelectric Perforated Shells
We rigorously establish the existence of the limit homogeneous constitutive law of a piezoelectric composite made of periodically perforated microstructures and whose reference configuration is a thin shell with fixed thickness. We deal with an extension of the Koiter shell model in which the three curvilinear coordinates of the elastic displacement field and the electric potential are coupled....
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