Postbuckling of functionally graded cylindrical shells with tangential edge restraints and temperature-dependent properties

Tung, Hoang Van

doi:10.1007/s00707-013-1011-2

Cited by 35 publications

(30 citation statements)

References 19 publications

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“…As material properties are temperature independent, expressions (41) and (40) are closed-form relations of buckling temperature change and postbuckling temperaturedeflection curves, respectively. In contrast, an iteration algorithm is used to determine buckling temperatures and postbuckling equilibrium paths as material properties are temperature dependent.…”

Section: Fgm Sandwich Plate Under Uniform Temperature Risementioning

confidence: 99%

“…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%

“…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. To the best of author's knowledge, there is no investigation on simultaneous influences of elastic foundations, tangential edge constraints and temperature dependent properties on the nonlinear stability of FGM sandwich plates under thermal and thermomechanical loadings.…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

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: Fgm Sandwich Plate Under Uniform Temperature Risementioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

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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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“…(36) is implicit expression and an iteration algorithm must be utilized to obtain temperature-deflection curves. Detailed procedure of iteration process is similar as that suggested in the work [20] and is omitted here for sake of brevity. The error tolerance of iteration of the present study is 0.001.…”

Section: Fgm Cylindrical Panel Under Uniform External Pressure In Thementioning

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%

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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Thermal nonlinear stability of functionally graded porous material nearly cylindrical shells with surrounding elastic media and tangentially restrained edges

Trang

Tung

2022

Math Methods in App Sciences

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This paper aims to investigate the influences of surrounding elastic media and tangential edge constraints on the buckling and postbucking behaviors of nearly cylindrical shell (NCS) made of functionally graded porous material (FGPM) and subjected to uniform temperature rise. Three different types of porosity distributions are considered and assumed to be in forms of cosine functions of thickness variable. The volume fractions of material constituents are assumed to vary through the shell thickness according to power‐law functions. Temperature‐dependent material properties and elasticity of tangential constraints of boundary edges are included. Governing equations are established within the framework of classical shell theory taking into account von Kármán–Donnell nonlinearity and interactive pressure from surrounding elastic media. Multiterm analytical solutions for simply supported NCSs are assumed and Galerkin procedure is utilized to derive expressions of buckling load and nonlinear load–deflection relation. An iteration process is adopted to determine critical thermal loads and postbuckling temperature–deflection paths. Numerous parametric studies are carried out to assess many different effects on thermal buckling resistance and postbuckling load carrying capabilities. The study reveals that porosity and tangential edge constraint have beneficial and deteriorative influences on the thermal stability of the NCSs, respectively. Furthermore, the obtained results demonstrate that surrounding elastic media have significantly beneficial influences on the thermal nonlinear stability of FGPM NCSs.

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Postbuckling of functionally graded cylindrical shells with tangential edge restraints and temperature-dependent properties

Cited by 35 publications

References 19 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

Thermal nonlinear stability of functionally graded porous material nearly cylindrical shells with surrounding elastic media and tangentially restrained edges

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