Buckling Analysis of Eccentrically Stiffened Functionally Graded Toroidal Shell Segments under Mechanical Load

Dao, Bich Huy; Ninh, Dinh Gia; Tran, Thinh Ich

doi:10.1061/(asce)em.1943-7889.0000964

Cited by 13 publications

(3 citation statements)

References 16 publications

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“…where coefficients a i2 (i = 1 ÷ 6) have been defined in the works [16,17]. The present study considers simply supported CNTRC TSS with freely movable edges and the associated boundary conditions are [30,31,33]…”

Section: Formulationsmentioning

confidence: 99%

“…Making use of analytical approaches with three-term solution of deflection and classical thin shell theory, Ansari et al [28] and Ninh [29] considered the postbuckling behavior of FG-CNTRC cylindrical shells with piezoelectric layers subjected to external pressure and torsional loads, respectively. Although postbuckling behavior of ceramic-metal FGM toroidal shell segments has been addressed in works [30,31], to the best of authors' knowledge, there is no investigation on nonlinear stability of CNTRC toroidal shell segments. As important structural components, CNTRC toroidal shell segments have potential applications in many different scientific fields, especially in aerospace science and engineering [32].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Tung

Hiếu

2018

Vietnam J. Mech.

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Buckling and postbuckling behaviors of Toroidal Shell Segment (TSS) reinforced by single-walled carbon nanotubes (SWCNT), surrounded by an elastic medium and subjected to uniform external pressure are investigated in this paper. Carbon nanotubes (CNTs) are reinforced into matrix phase by uniform distribution (UD) or functionally graded (FG) distribution along the thickness direction. Effective properties of carbon nanotube reinforced composite (CNTRC) are estimated by an extended rule of mixture through a micromechanical model. Governing equations for TSSs are based on the classical thin shell theory taking into account geometrical nonlinearity and surrounding elastic medium. Three-term solution of deflection and stress function are assumed to satisfy simply supported boundary condition, and Galerkin method is applied to obtain nonlinear load-deflection relation from which buckling loads and postbuckling equilibrium paths are determined. The effects of CNT volume fraction, distribution types, geometrical ratios and elastic foundation on the buckling and postbuckling behaviors of CNTRC TSSs are analyzed and discussed.

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Section: Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Tung

Hiếu

2018

Vietnam J. Mech.

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“…Stein et al (1) published one of the earliest investigations on toroidal segments for the buckling problem using homogeneous and isotropic toroidal shell segments. Bich et al (2,3,4) investigated the linear and nonlinear buckling of functionally graded toroidal segments subjected to external pressure based on the classical shell theory (CST). Nguyen et al (5) studied free vibration characteristics of rotating stiffened toroidal shells based on third-order shear deformation theory (TSDT) reinforced with GPL in thermal environments using Rayleigh-Ritz procedure.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Toroidal Shell Segments Reinforced by Graded Graphene in Elastic Medium

Khalaf,

Hasan

2024

Salud, Ciencia y Tecnología - Serie de Conferencias

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This paper presents an analytical solution for free-vibration analyses of functionally graded graphene platelets (GPL) reinforced composite toroidal shells in an elastic medium. Four continuous distribution patterns of GPL are investigated in this study. The elastic properties of the shell have been calculated from the Halpin-Tsai micro-mechanical relationship. The governing partial differential equations of motion are derived based on the third-order shear deformation shell theory (TSDT). The shell equations are solved by adopting the approximated solution which satisfies simply supported BCs. The influences of the graphene weight fraction, distributions of the volume fraction, the number of waves, and the geometric and foundation parameters on the natural frequency of the toroidal shell segment are studied. It was clear that the FG-X distribution pattern outperformed other types of dispersion. Additionally, the presence of an elastic foundation increases the shell's natural frequency.

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Buckling of shear deformable FG‐CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments

Hiếu

Tung

2020

Z Angew Math Mech

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An analytical study on buckling of carbon nanotube reinforced composite (CNTRC) circular cylindrical shells and toroidal shell segments surrounded by elastic media, exposed to thermal environments and subjected to axial compression and combined mechanical loads is presented in this paper. Carbon nanotubes (CNTs) are reinforced into isotropic matrix through uniform and functionally graded distributions. Material properties of constituents are assumed to be temperature dependent and effective elastic moduli of CNTRC are estimated by an extended rule of mixture. Formulations are based on first order shear deformation theory taking into account interaction between the shell and surrounding medium. Two‐term solution of deflection is assumed to satisfy simply supported boundary conditions and Galerkin method is used to obtain closed‐form expressions of buckling loads. Numerical illustrations are given to analyze the effects of CNT volume fraction and distribution patterns, preexisting loads, surrounding elastic media and geometrical parameters on the stability of CNTRC shells. The proposed approach is simple and effective to evaluate buckling loads of moderately thick closed nanocomposite shells under different types of mechanical loads.

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Buckling Analysis of Eccentrically Stiffened Functionally Graded Toroidal Shell Segments under Mechanical Load

Cited by 13 publications

References 16 publications

Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Nonlinear buckling of CNT-reinforced composite toroidal shell segment surrounded by an elastic medium and subjected to uniform external pressure

Free Vibration Analysis of Toroidal Shell Segments Reinforced by Graded Graphene in Elastic Medium

Buckling of shear deformable FG‐CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments

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