Nonlinear buckling of eccentrically stiffened functionally graded toroidal shell segments under torsional load surrounded by elastic foundation in thermal environment

Ninh, Dinh Gia; Bich, Dao Huy

doi:10.1016/j.mechrescom.2015.12.002

Cited by 35 publications

(12 citation statements)

References 38 publications

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“…Now, substituting equation ( 15) into the deformation compatibility equation ( 11) taking into account equation (18), equation (11) becomes…”

Section: Fundamental Equationsmentioning

confidence: 99%

“…Recently, Nam et al 16 and Phuong et al 17 studied the nonlinear buckling and postbuckling of FGM and multilayer FGM cylindrical shells reinforced by orthogonal and spiral stiffeners in thermal environment subjected to torsional load with and without elastic foundation. Ninh and Bich [18][19][20] investigated the nonlinear buckling and vibration of FGM ring and stringer stiffened and unstiffened FGM cylindrical shells and toroidal shell segments under thermal and mechanical loads surrounded by Pasternak's elastic foundation using Donnell shell nonlinear theory with Stein and McElman assumption and Galerkin procedure. Thang and Trung 21 studied the nonlinear dynamic response of sigmoid FGM and FGM toroidal shell segments reinforced by ring and stringer stiffeners, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation

Phương

Nam

Nguyen-Thoi

et al. 2019

Journal of Thermoplastic Composite Materials

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Nonlinear buckling and postbuckling analysis of functionally graded graphene-reinforced composite (FG-GRC) laminated toroidal shell segments subjected to external pressure surrounded by elastic foundations and exposed to thermal environment are presented in this article. Governing equations for toroidal shell segments are based on the Donnell shell theory taking into account geometrical nonlinearity term in von Kármán sense with shell–foundation interaction modeled by Pasternak’s elastic foundation. Three-term solution form of deflection and stress function are chosen, and Galerkin method is applied to obtain the nonlinear load–deflection relation. Numerical investigations show the effects of graphene volume fraction, graphene distribution types, geometrical properties, elastic foundation, and thermal environments on the linear and nonlinear buckling and postbuckling behaviors of FG-GRC laminated toroidal shell segments.

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“…Now, substituting equation ( 15) into the deformation compatibility equation ( 11) taking into account equation (18), equation (11) becomes…”

Section: Fundamental Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation

Phương

Nam

Nguyen-Thoi

et al. 2019

Journal of Thermoplastic Composite Materials

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“…Afterwards, various types of HSDTs were implemented [35,36]. Ninh and Bich analyzed the nonlinear vibration [37] and nonlinear torsional buckling [38] of eccentrically stiffened (ES) FG toroidal shell segments in thermal environment with the geometrical nonlinearity and surrounded by an elastic medium based on the classical shell theory.…”

Section: Introductionmentioning

confidence: 99%

A Quasi 3D Modified Strain Gradient Formulation for Static Bending of Functionally Graded Micro beams Resting on Winkler-Pasternak Elastic Foundation

Gholami

Alizadeh

2021

Scientia Iranica

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This paper presents the bending analysis of simply supported functionally graded (FG) size dependent beams based on modified strain gradient theory. The shear and normal deformations are considered in displacement field according to hyperbolic shear deformation theory. Governing equations and corresponding boundary conditions for FG micro beam are derived utilizing principle of minimum total potential energy. Mori-Tanaka homogenization scheme and the classical rule of mixture are used for prediction of material properties through the thickness.Effects of Winkler-Pasternak elastic foundation parameters are studied for different side to thickness ratios. Effects of different aspect ratios, elastic foundation parameters, power law gradient indexes and different loading conditions are investigated. The efficiency and accuracy of present model is demonstrated by comparing to the existing results in especial cases.

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“…Therefore, it is essential to investigate both local (wrinkling) and global response of honeycomb structures under compressive loading [16,17]. There are a number of studies in literature that have studied the buckling behavior of composite structures and shell structures, which help to gain a deep understanding of the buckling behavior of sandwich panel structures [18–22].…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical study of buckling behavior of foam-filled honeycomb core sandwich panels considering viscoelastic effects

Safarabadi

Haghighi‐Yazdi

Sorkhi

et al. 2020

Jnl of Sandwich Structures & Materials

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Honeycomb sandwich panels are widely used in marine, aerospace, automotive and shipbuilding industries. High strength to weight and excellent energy absorption are features that make these structures unique. Foam filling the honeycomb core enhances the mechanical properties of sandwich panels considerably. In the present study, the buckling behavior of Nomex honeycomb core/glass-epoxy face sheet sandwich panel for both bare and foam-filled honeycomb core is investigated numerically and experimentally, considering the viscoelastic properties of the sandwich panel. Indeed, the viscoelastic properties of the composite face sheet and foam are determined by relaxation test and are implemented in ABAQUS using VUmat code. The finite element method is also performed using ABAQUS to model the buckling behavior of the sandwich panel incorporating both elastic and viscoelastic material behaviour. The effects of composite face sheet lay-up, core thickness, core cell size, and foam filling are also evaluated. The experimental and numerical results show that the foam increases the critical buckling load and energy absorption.

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Nonlinear buckling of eccentrically stiffened functionally graded toroidal shell segments under torsional load surrounded by elastic foundation in thermal environment

Cited by 35 publications

References 38 publications

Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation

Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation

A Quasi 3D Modified Strain Gradient Formulation for Static Bending of Functionally Graded Micro beams Resting on Winkler-Pasternak Elastic Foundation

Experimental and numerical study of buckling behavior of foam-filled honeycomb core sandwich panels considering viscoelastic effects

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