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

abstract

• 2015 Elsevier Masson SAS. 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 Krmn 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.

authors

• Reddy, Junuthula

published proceedings

• EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

author list (cited authors)

• Reddy, J. N., Romanoff, J., & Antonio Loya, J.

citation count

• 82

complete list of authors

• Reddy, JN||Romanoff, Jani||Antonio Loya, Jose

publication date

• March 2016

publisher

• Elsevier  Publisher

published in

• European Journal of Mechanics, A/Solids  Journal

keywords

• Functionally Graded Materials
• Modified Couple Stress Theory
• Von Karman Nonlinearity

Digital Object Identifier (DOI)

• 10.1016/j.euromechsol.2015.11.001

start page

• 92

end page

• 104

volume

• 56

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.euromechsol.2015.11.001