J. Phys. IV France
Volume 126, June 2005
Page(s) 127 - 130

J. Phys. IV France 126 (2005) 127-130

DOI: 10.1051/jp4:2005126026

Mathematical derivation of sensor and actuator plates models in linear piezoelectricity

T. Weller and C. Licht

Laboratoire de Mécanique et Génie Civil, UMR 5508 CNRS, cc 048, Place Eugène Bataillon, 34095 Montpellier Cedex 05, France

Here, we rigorously derive a theory of linearly piezoelectric plates by studying the limit behavior of a three-dimensional flat body as its thickness tends to zero. In the static case, two limit models appear depending essentially on the nature and the magnitude of the electromechanical loading. The two limit constitutive laws are explicitly derived for each piezoelectric crystal class.

© EDP Sciences 2005