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

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Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory. / Reddy, J. N.; Romanoff, Jani; Antonio Loya, Jose.

In: EUROPEAN JOURNAL OF MECHANICS A: SOLIDS, Vol. 56, No. 1, 2016, p. 92-104.

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@article{b7a9fc20059e4a2d9ce41aa2db979699,
title = "Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory",
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",
author = "Reddy, {J. N.} and Jani Romanoff and {Antonio Loya}, Jose",
year = "2016",
doi = "10.1016/j.euromechsol.2015.11.001",
language = "English",
volume = "56",
pages = "92--104",
journal = "EUROPEAN JOURNAL OF MECHANICS A: SOLIDS",
issn = "0997-7538",
number = "1",

}

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TY - JOUR

T1 - Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory

AU - Reddy, J. N.

AU - Romanoff, Jani

AU - Antonio Loya, Jose

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Functionally graded materials

KW - Modified couple stress theory

KW - von Karman nonlinearity

KW - ORDER BEAM THEORY

KW - THERMOELASTIC ANALYSIS

KW - CARBON NANOTUBES

KW - MODEL

KW - ELASTICITY

U2 - 10.1016/j.euromechsol.2015.11.001

DO - 10.1016/j.euromechsol.2015.11.001

M3 - Article

VL - 56

SP - 92

EP - 104

JO - EUROPEAN JOURNAL OF MECHANICS A: SOLIDS

JF - EUROPEAN JOURNAL OF MECHANICS A: SOLIDS

SN - 0997-7538

IS - 1

ER -

ID: 1580141