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

J. N. Reddy; Jani Romanoff; Jose Antonio Loya

doi:10.1016/j.euromechsol.2015.11.001

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

Department of Energy and Mechanical Engineering

Research output: Contribution to journal › Article › Scientific › peer-review

104 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 language	English
Pages (from-to)	92-104
Number of pages	13
Journal	European Journal of Mechanics A: Solids
Volume	56
Issue number	1
DOIs	https://doi.org/10.1016/j.euromechsol.2015.11.001
Publication status	Published - 2016
MoE publication type	A1 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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10.1016/j.euromechsol.2015.11.001

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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",

publisher = "Elsevier",

number = "1",

}

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

SN - 0997-7538

VL - 56

SP - 92

EP - 104

JO - European Journal of Mechanics A: Solids

JF - European Journal of Mechanics A: Solids

IS - 1

ER -

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

Abstract

Keywords

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