A Higher Order Theory for Piezoelectric Plate

摘要

In this paper,an accurate and reliable piezoelectric plate element is presented.The formulations are based upon the refined high order displacement field theory,which makes the elements applicable to both thin and moderately thick situations.To take into account the potential induced by the bending and shear deformation,a high order electric potential over the thickness is developed.This formulation is based upon an analytical integration of the electric charge equation over the plate thickness,using the kinematic assumptions of the high order displacement field theory.As compared to elastic plate elements,only one additional global degree of freedom is introduced for every electrode pair,which makes the formulation very efficient.Numerical examples show that the present model can well predict both the global and local responses such as mechanical displacements as well as the through-thickness electric potentials,all in good agreement with those from full 3D finite element model.