Plates made of piezoelectric materials: When are they really piezoelectric?

Plates made of piezoelectric materials: When are they really piezoelectric?

This paper aims at presenting in a synthetic way mathematical results that have been rigorously and recently derived by the authors. These results deal with the simplified but accurate modeling of linearly piezoelectric thin plates. It is shown how mathematical tools lead to two different situations linked to either sensors or actuators devices. Moreover we enlighten the fact that for some piez...

Hierarchical Modeling of Piezoelectric Plates

ALEXANDRE L. MADUREIRA Abstract. We use variational techniques to derive a class of two-dimensional models for three-dimensional linearly elastic piezoelectric plates. The models result from a mixed formulation for the original problem within spaces of functions with polynomial dependence in the transverse direction. We show that the resulting system of equations is well-posed, and then discuss...

Temperature Compensated Piezoelectric Materials

Asymptotic modeling of thin piezoelectric plates

We study the asymptotic behavior of a three dimensional flat, heterogeneous and anisotropic piezoelectric body when its thickness seen as a parameter goes to zero. Depending on the type of the electrical loading two models are obtained which are related to the plate used as a sensor or as an actuator. These models are explicitly derived in any piezoelectric crystal symmetry class. For some of t...

static analysis of piezoelectric laminated composite plates

the levy-type analytical solution is employed for the problem of bending of cross-ply and antisymmetric angle-ply piezoelectric hybrid laminated plates with at least two simply supported opposite edges. the governing equations of equilibrium are derived in the framework of the first-order shear deformation plate theory. the equations are classified according to the crystallography type of piezo...