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

publication date

  • April 2016

start page

  • 92

end page

  • 104

volume

  • 56

International Standard Serial Number (ISSN)

  • 0997-7538

Electronic International Standard Serial Number (EISSN)

  • 1873-7285

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.

keywords

  • functionally graded materials; modified couple stress theory; von karman nonlinearity; order beam theory; thermoelastic analysis; carbon nanotubes; model; elasticity