Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory

J. N. Reddy*, Jani Romanoff, Jose Antonio Loya

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

63 Citations (Scopus)

Abstract

Finite element models of microstructure-dependent geometrically nonlinear theories for axisymmetric bending of circular plates, which accounts for through-thickness power-law variation of a two constituent material, the von Karman nonlinearity, and the strain gradient effects are developed for the classical and first-order plate theories. The strain gradient effects are included through the modified couple stress theory that contains a single material length scale parameter which can capture the size effect in a functionally graded material plate. The developed finite element models are used to determine the effect of the geometric nonlinearity, power-law index, and microstructure-dependent constitutive relations on the bending response of functionally graded circular plates with different boundary conditions. (C) 2015 Elsevier Masson SAS. All rights reserved.

Original languageEnglish
Pages (from-to)92-104
Number of pages13
JournalEUROPEAN JOURNAL OF MECHANICS A: SOLIDS
Volume56
Issue number1
DOIs
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Functionally graded materials
  • Modified couple stress theory
  • von Karman nonlinearity
  • ORDER BEAM THEORY
  • THERMOELASTIC ANALYSIS
  • CARBON NANOTUBES
  • MODEL
  • ELASTICITY

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