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Generalized Conforming Element for the Analysis of Piezoelectric Laminated Composite Plates

  • Song Cen
  • Yu-Qiu Long
Chapter
  • 2.7k Downloads

Abstract

A new 4-node quadrilateral finite element is developed for the analysis of the laminated composite plates containing distributed piezoelectric layers (surface bonded or embedded). The mechanical part of the element formulation is based on the first-order shear deformation theory (FSDT). The formulation is established by generalizing that of the generalized conforming laminated plate element CTMQ20 presented in the previous chapter. The layer-wise linear theory is applied to deal with electric potential. Therefore, the number of the electrical DOF is a variable depending on the number of the plate sub-layers. Thus, there is no need to make any special assumptions with regard to the through-thickness variation of the electric potential, which is the true situation. Furthermore, a new “patial hybrid“-enhanced procedure is presented to improve the stress solutions, especially for the calculation of the transverse shear stresses. The proposed element, denoted as CTMQE, is free of shear locking and it exhibits excellent capability in the analysis of thin to moderately thick piezoelectric laminated composite plates.

Keywords

finite element piezoelectric laminated composite plate generalized conforming first-order shear deformation theory (FSDT) layerwise theory patitial hybrid-enhanced post-processing procedure 

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Copyright information

© Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2009

Authors and Affiliations

  • Song Cen
    • 1
  • Yu-Qiu Long
    • 2
  1. 1.Department of Engineering Mechanics, School of AerospaceTsinghua UniversityBeijingChina
  2. 2.Department of Civil Engineering, School of Civil EngineeringTsinghua UniversityBeijingChina

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