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Analysis of functionally graded plates with arbitrary distributed elastic modulus

  • Z. Zhong*
  • , E. T. Shang
  • *Corresponding author for this work
  • Tongji University
  • Shanghai Supercomputer Center

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In order to model arbitrarily varying material properties of functionally graded materials, a new laminated model is proposed for functionally graded plate. The plate is subjected to normal and shear tractions of arbitrary form on the lower and upper surfaces while edge boundary conditions are given as simply supported. The problem is formulated on the assumption that the elastic modulus depend on z-coordinate along the thickness direction. Plevako's solution of the general three-dimensional governing equations is used and the corresponding physical quantities are expanded into Fourier series. Approximate solutions for arbitrary variations of elastic modulus are obtained based on the proposed laminated model. The influence of different functionally graded models and plate configurations on the stress and displacement fields is studied through numerical examples.

Original languageEnglish
Title of host publicationAdvances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008
Pages1594
Number of pages1
StatePublished - 2008
Externally publishedYes
EventAdvances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008 - Huangshan, China
Duration: 3 Jun 20088 Jun 2008

Publication series

NameAdvances in Heterogeneous Material Mechanics 2008 - Proceedings of the 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008

Conference

ConferenceAdvances in Heterogeneous Material Mechanics 2008 - 2nd International Conference on Heterogeneous Material Mechanics, ICHMM 2008
Country/TerritoryChina
CityHuangshan
Period3/06/088/06/08

Keywords

  • Functionally graded plate
  • Laminated model
  • Three dimensional analysis

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