Modelling of piezoelectric static thin plates

Article type: Research Article

Authors: Sene, Abdou^;

Affiliations: Laboratoire de Modélisation et Calcul, Université Joseph Fourier, B.P. 53X Grenoble cedex 9, France | Laboratoire d'Analyse Numérique et d'Informatique, Université Gaston Berger, B.P. 234 St. Louis, Sénégal

Abstract: We study the behavior of a piezoelectric plate when its thickness tends to 0. Our analysis regorously justifies the classical a priori assumption that the electric potential is a second order polynomial with respect to the thickness variable. We prove that the electric potential appears in the limit bidimensional equation only. Moreover, we obtain the very contribution of the piezoelectric constants in the bending operator.

Journal: Asymptotic Analysis, vol. 25, no. 1, pp. 1-20, 2001