Nonlinear buckling and postbuckling of sandwich FGM cylindrical shells reinforced by spiral stiffeners under torsion loads in thermal environment

Nam, Vũ Hoài; Phương, Nguyễn Thị; Nguyen-Thoi, T.

doi:10.1007/s00707-019-02452-5

Cited by 28 publications

(13 citation statements)

References 42 publications

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“…Substituting the solution form of deflection Equation 18and stress function form Equation (19) into Equation (14) and then performing the Galerkin procedure in the integral domain 0 ≤ x ≤ L and 0 ≤ y ≤ 2πR, leads to…”

Section: Three-term Solution and Galerkin Proceduresmentioning

confidence: 99%

“…Furthermore, Dung and Hoa [16] studied the nonlinear buckling of FGM cylindrical shells reinforced by FGM stiffeners in longitudinal and circumferential directions and subjected to radial loads. By improving the smeared stiffener technique for spiral stiffeners, the nonlinear thermomechanical buckling and postbuckling behavior of FGM, sandwich FGM, and multilayer FGM cylindrical shells stiffened by FGM or isotropic spiral stiffeners subjected to various loading conditions was studied by Nam et al [17][18][19] and Phuong et al [20,21]. Based on the FSDT, Esmaeili et al [22] discussed the nonlinear axisymmetric vibration behavior of shear deformable FGM cylindrical shells under rapid heating on the ceramic-rich surface, while a constant temperature was applied for the metal-rich surface.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

et al. 2020

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This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. Additionally, the effects of spiral corrugation in enhancing the nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells are validated and discussed.

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Section: Three-term Solution and Galerkin Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

et al. 2020

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“…Substituting Equation (16) into Equation 12, the rewritten deformation compatibility equation is as:…”

Section: Governing Equationsmentioning

confidence: 99%

“…Nonlinear buckling behavior of large deflection FGM and porous-core FGM spiral stiffened cylindrical shells subjected to axial compressive, radial and torsional loads with and without elastic foundation by using the improved Lekhnitskii's smeared stiffener technique and the Galerkin method was studied by Nam et al [15][16][17][18][19]. Based on genetic algorithms and neural networks, Miller and Ziemiański [20] maximized the eigenfrequency gaps of laminated composite cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

A New Analytical Approach for Nonlinear Global Buckling of Spiral Corrugated FG-CNTRC Cylindrical Shells Subjected to Radial Loads

Nam

Dang

et al. 2020

Applied Sciences

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The present paper deals with a new analytical approach of nonlinear global buckling of spiral corrugated functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells subjected to radial loads. The equilibrium equation system is formulated by using the Donnell shell theory with the von Karman’s nonlinearity and an improved homogenization model for spiral corrugated structure. The obtained governing equations can be used to research the nonlinear postbuckling of mentioned above structures. By using the Galerkin method and a three term solution of deflection, an approximated analytical solution for the nonlinear stability problem of cylindrical shells is performed. The linear critical buckling loads and postbuckling strength of shells under radial loads are numerically investigated. Effectiveness of spiral corrugation in enhancing the global stability of spiral corrugated FG-CNTRC cylindrical shells is investigated.

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“…The thermo-mechanical buckling and postbuckling responses and vibration of cylindrical shells made from functionally graded material (FGM) were presented by many publications. [1][2][3][4][5][6][7][8][9][10][11][12] The mechanical buckling behavior by using thin and moderately thick FGM cylindrical shells was mentioned with and without the geometrical nonlinearities. [1][2][3] The thermal buckling behavior of FGM and FGM coatings cylindrical shells was investigated by different methods.…”

Section: Introductionmentioning

confidence: 99%

An analytical approach to the nonlinear buckling behavior of axially compressed auxetic-core cylindrical shells with carbon nanotube-reinforced coatings

Duc

Nguyen-Thoi

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Auxetic materials are usually designed as cores for structures subject to high impulse loads. Furthermore, the lightweight and high load capacity of the auxetic core construction is also an important advantage even for structures subjected to static loads. The combination of auxetic core and face sheets made by the advanced composite materials is a solution to dramatically increase the load-carrying capacity of the structure. In this paper, a new design of auxetic-core cylindrical shells with carbon nanotube-reinforced coatings is presented. Additionally, the nonlinear buckling behaviors of auxetic-core cylindrical shells with carbon nanotube-reinforced coatings under axially compressive loads are investigated. Three distributed types of functionally graded carbon nanotube-reinforced coatings and the honeycomb lattice form of the auxetic core are investigated. The homogenization model for auxetic lattice structures is considered to constitute the formulations of stiffnesses of the core layer. The nonlinear basic formulations are formulated by using the geometrically nonlinear Donnell shell theory considering Pasternak’s foundation. The Galerkin procedure can be applied three times for three states of buckling behaviors, and the expressions of the compressive load-maximal deflection and compressive load-average end shortening postbuckling curves are achieved. The numerically obtained investigations present the significant effects of auxetic core, volume fraction, direction arrangement and distributed law of carbon nanotube, foundation stiffnesses, geometrical parameters of auxetic core and shell on the critical buckling load and postbuckling behavior of structures.

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Nonlinear buckling and postbuckling of sandwich FGM cylindrical shells reinforced by spiral stiffeners under torsion loads in thermal environment

Cited by 28 publications

References 42 publications

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

A New Analytical Approach for Nonlinear Global Buckling of Spiral Corrugated FG-CNTRC Cylindrical Shells Subjected to Radial Loads

An analytical approach to the nonlinear buckling behavior of axially compressed auxetic-core cylindrical shells with carbon nanotube-reinforced coatings

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