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

By J. Reddy, Jani Romanoff, Jose Antonio Loya. 2016

118 citations recorded by the source corpus.

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.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ad77b279581bdd200ed8811af386ade8278d2880

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, background): “Reddy and his colleagues worked on the nonlinear finite element analysis (FEA) of FG microplates with different geometries and plate theories [28, 29].”