Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits

Eric Canon (1, 2) , Michel Lenczner (3)

1 ICJ - Institut Camille Jordan
2 MMCS - Modélisation mathématique, calcul scientifique
3 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

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 E of the inclusions tendtogether to zero, in the two following situations: first, when a similar or equal to E, and second, when a/E tends to zero.

Domaines: Autre

Eric Canon, Michel Lenczner. Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits. Mathematical Methods in the Applied Sciences, 2015, 38 (1), pp.66 - 86. ⟨hal-02963431⟩