Modeling of Perforated Piezoelectric Plates

Houari Mechkour · Mathematical and Computational Applications · 2022

In this article, we are interested in the behavior of a three-dimensional model of periodic perforated piezoelectric plate, when the thickness h of the plate and the size ε of the holes are small. We study the dependence of displacements and electric potential on h and ε, and give equivalent limits when h and ε tend towards zero. We compute analytical formulae for all effective properties of the periodic perforated piezoelectric plate.

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