Nonlinear response of shear deformable FGM curved panels resting on elastic foundations and subjected to mechanical and thermal loading conditions

Tung, Hoang Van; Duc, Nguyen Dinh

doi:10.1016/j.apm.2013.11.015

Cited by 65 publications

(33 citation statements)

References 34 publications

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“…This paper extends previous works [4,19] to investigate the postbuckling behavior of higher order shear deformable FGM cylindrical panels resting on elastic foundations and subjected to mechanical, thermal and thermomechanical loads. New contributions of the present work are that the separate and combined effects of various degrees of tangential edge constraints and temperature dependence of material properties on the postbuckling behavior of thick FGM cylindrical panels are taken into consideration.…”

Section: Introductionmentioning

confidence: 67%

“…and specific expressions of coefficients E i = E i (T)(i = 1 ÷ 7) are analogous to those given in [4] for case of temperature independent properties and omitted here for sake of brevity. Nonlinear equilibrium equation of an imperfect FGM cylindrical panel on an elastic foundation on the basis of higher order shear deformation shell theory has the form [4]…”

Section: Theoretical Formulationsmentioning

confidence: 99%

“…In this study, the FGM cylindrical panels are assumed to be simply supported at all edges. The associated boundary conditions are [4,21] …”

Section: Theoretical Formulationsmentioning

confidence: 99%

“…Subsequently, Eqs. (20), (21) are substituted into equilibrium equation (12) and applying Galerkin method for the resulting equation as procedure developed in the [4] yield…”

Section: Theoretical Formulationsmentioning

confidence: 99%

“…As a result, c 2016 Vietnam Academy of Science and Technology buckling and postbuckling of FGM cylindrical panels are attractive topics for many researchers. Nonlinear response and postbuckling behavior of thin and moderately thick FGM cylindrical panels subjected to mechanical and thermomechanical loads have been investigated by Woo et al [1], Duc and Tung [2][3][4] using analytical approaches. Basing on asymptotic solutions and an iteration algorithm, Shen and his co-workers have analyzed nonlinear bending and postbuckling of FGM cylindrical panels under mechanical, thermal and electric loadings [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

Tung

2016

Vietnam J. Mech.

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Abstract. This paper investigates postbuckling behavior of thick FGM cylindrical panels resting on elastic foundations and subjected to thermal, mechanical and thermomechanical loading conditions. Material properties are assumed to be temperature dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Governing equations are based on higher order shear deformation shell theory incorporating von Karman-Donnell geometrical nonlinearity, initial geometrical imperfection, tangential edge constraints and Pasternak type elastic foundations. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin procedure is applied to derive expressions of buckling loads and load-deflection relations. In thermal postbuckling analysis, an iteration algorithm is employed to determine critical buckling temperatures and postbuckling temperaturedeflection equilibrium paths. The separate and simultaneous effects of tangential edge restraints, elastic foundations and temperature dependence of material properties on the buckling and postbuckling responses of higher order shear deformable FGM cylindrical panels are analyzed and discussed.

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Section: Introductionmentioning

confidence: 67%

Section: Theoretical Formulationsmentioning

confidence: 99%

“…In this study, the FGM cylindrical panels are assumed to be simply supported at all edges. The associated boundary conditions are [4,21] …”

Section: Theoretical Formulationsmentioning

confidence: 99%

“…Subsequently, Eqs. (20), (21) are substituted into equilibrium equation (12) and applying Galerkin method for the resulting equation as procedure developed in the [4] yield…”

Section: Theoretical Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

Tung

2016

Vietnam J. Mech.

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Vibration analysis of carbon nanotube‐reinforced composite microbeams

Cívalek

Dastjerdi

Akbaş

et al. 2021

Math Methods in App Sciences

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In the present article, free vibration behavior of carbon nanotube‐reinforced composite (CNTRC) microbeams is investigated. Carbon nanotubes (CNTs) are distributed in a polymeric matrix with four different patterns of the reinforcement. The material properties of the CNTRC microbeams are predicted by using the rule of mixture. The microstructure‐dependent governing differential equations are derived by applying Hamilton's principle on the basis of couple stress theory and several beam theories. The obtained vibration equation is solved by using Navier's solution method. The effects of length scale parameter, length/thickness ratio, volume fraction and the reinforcement pattern of CNTs on frequencies are examined. It is observed that the biggest frequencies occur in X‐Beam while O‐Beam has the lowest ones. It is also found that the size effect is more prominent when the thickness of the beam is close to the length scale parameter and this effect nearly disappears as the thickness of the beam increases.

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Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method

Cívalek

Avcar

2020

Engineering with Computers

163

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Nonlinear response of shear deformable FGM curved panels resting on elastic foundations and subjected to mechanical and thermal loading conditions

Cited by 65 publications

References 34 publications

Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

Postbuckling of thick FGM cylindrical panels with tangential edge constraints and temperature dependent properties

Vibration analysis of carbon nanotube‐reinforced composite microbeams

Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method

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