FEM modeling of adaptive composite structures using a reduced higher-order plate theory via penalty functions

Hisao Fukunaga, N. Hu, G. X. Ren

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

This paper presents a finite element model for analyzing the composite laminates containing the piezoelectrics statistically or dynamically. First, to model the moderately thick laminated plates, a simple higher-order plate theory, which can satisfy the free conditions of transverse shear strains on the top and bottom surfaces of plates, have been adopted. To set up a C0-type FEM scheme, two artificial variables in the displacement field have been introduced to avoid the higher-order derivatives from the higher-order plate theory. The corresponding constraint conditions from two artificial variables have been enforced effectively through the penalty function method using the reduced integral scheme within the element area. Second, a generalized coupling FEM model for the mechanical and electric fields from the variational framework have been proposed. Finally, various examples studied in many previous researches have been employed to verify the justification, accuracy and efficiency of the present model.

Original languageEnglish
Pages (from-to)8735-8752
Number of pages18
JournalInternational Journal of Solids and Structures
Volume38
Issue number48-49
DOIs
Publication statusPublished - 2001 Nov 16

Keywords

  • Adaptive structures
  • C-type finite element
  • Composite laminates
  • Higher-order plate theory
  • Piezoelectrics

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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