Postbuckling behavior of functionally graded cylindrical panels with tangential edge constraints and resting on elastic foundations

Tung, Hoang Van

doi:10.1016/j.compstruct.2012.12.051

Cited by 41 publications

(29 citation statements)

References 22 publications

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“…As indicated in these works, tangential edge constraints have considerable and important effects on the nonlinear stability and loading capacity of laminated structures. Recently, the author studied the effects of tangential constraints of boundary edges on the postbuckling of thin FGM cylindrical panels and FGM circular cylindrical shells under mechanical and thermal loads [40,41]. As analyzed in [41], the deteriorative effects of temperature dependent properties on the loading capacity of FGM cylindrical shells become more pronounced as edges are partially restrained in the inplane motion.…”

Section: Introductionmentioning

confidence: 98%

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Tung

2015

Composite Structures

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Section: Introductionmentioning

confidence: 98%

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Tung

2015

Composite Structures

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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: 59%

“…(26) and then substitution of the resulting equations into Eqs. (19) yield the following expressions…”

Section: Theoretical Formulationsmentioning

confidence: 99%

“…The panel is subjected to axial compressive load F uniformly distributed on two curved edges x = 0, a assumed to be freely movable, whereas two unloaded straight edges y = 0, b are tangentially restrained. In this case,N x0 = −F [4,19] andN y0 is determined by following the same procedure described in the previous section as …”

Section: Fgm Cylindrical Panel Under Uniform Axial Compressionmentioning

confidence: 99%

“…As mentioned by Librescu et al [17,18], tangential edge constraints have great and important effects on the nonlinear behavior of laminated composite plate and shells. Recently, Tung used an analytical approach based on the classical shell theory to analyze the postbuckling behavior of thin FGM cylindrical panels and circular cylindrical shells subjected to mechanical and thermal loads taking the effects of tangential edge constraints into consideration [19,20] without and with temperature dependent material properties, respectively.…”

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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Thermomechanical postbuckling of pressure‐loaded CNT‐reinforced composite cylindrical shells under tangential edge constraints and various temperature conditions

Hiếu

Tung

2019

Polymer Composites

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Buckling and postbuckling behavior of carbon nanotube‐reinforced composite (CNTRC) cylindrical shells with tangentially restrained edges exposed to preexisting temperature conditions and subjected to uniform external pressure are presented in this analytical study. Three temperature conditions considered are that uniform temperature rise, through‐the‐thickness temperature gradient, and in‐plane linear temperature distribution. Carbon nanotubes (CNTs) are reinforced into matrix phase through uniform or functionally graded distributions. The properties of CNTs and matrix are assumed to be temperature‐dependent and effective moduli of CNTRC are determined according to extended rule of mixture. Governing equations are based on the classical shell theory taking into account Von Karman‐Donnell nonlinearity and elasticity of tangential constraints of edges. Multi‐term solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to derive closed‐form expression of nonlinear pressure‐deflection relation from which critical buckling pressures and postbuckling paths are determined. A variety of numerical examples are given and interesting remarks are achieved. Due to practical situations of boundary edges and various temperature conditions, this paper aims to analyze separate and combined influences of tangential edge constraints and preexisting temperatures on thermomechanical postbuckling behavior of pressure‐loaded nanocomposite cylindrical shells.

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Postbuckling behavior of functionally graded cylindrical panels with tangential edge constraints and resting on elastic foundations

Cited by 41 publications

References 22 publications

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

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

Thermomechanical postbuckling of pressure‐loaded CNT‐reinforced composite cylindrical shells under tangential edge constraints and various temperature conditions

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