Nonlinear buckling of axially compressed <scp>FG‐GRCL</scp> stiffened cylindrical panels with a piezoelectric layer by using Reddy's higher‐order shear deformation theory

Nam, Vũ Hoài; Dong, Dang Thuy; Doan, Cao Van; Phương, Nguyễn Thị

doi:10.1002/pc.26931

Cited by 10 publications

(12 citation statements)

References 41 publications

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“…The relations between internal forces and moments with the strains, rotations and deflection can be expressed through the stiffness matrix as follows 39–42

({}, \begin{matrix} N_{xx} \\ N_{yy} \\ N_{xy} \\ M_{xx} \\ M_{yy} \\ M_{xy} \\ T_{xx} \\ T_{yy} \\ T_{xy} \end{matrix}) goodbreak= \begin{matrix} lefttrue \\ [\begin{matrix} A_{11} & A_{12} & 0 & C_{11} & C_{12} & 0 & V_{11} & V_{12} & 0 \\ A_{12} & A_{22} & 0 & C_{12} & C_{22} & 0 & V_{12} & V_{22} & 0 \\ 0 & 0 & A_{66} & 0 & 0 & C_{66} & 0 & 0 & V_{66} \\ C_{11} & C_{12} & 0 & D_{11} & D_{12} & 0 & U_{11} & U_{12} & 0 \\ C_{12} & C_{22} & 0 & D_{12} & D_{22} & 0 & U_{12} & U_{22} & 0 \\ 0 & 0 & C_{66} & 0 & 0 & D_{66} & 0 & 0 & U_{66} \\ V_{11} & V_{12} & 0 & U_{11} & U_{12} & 0 & Z_{11} & Z_{12} & 0 \\ V_{12} & V_{22} & 0 & U_{12} & U_{22} & 0 & Z_{12} & Z_{22} & 0 \\ 0 & 0 & V_{66} & 0 & 0 & U_{66} & 0 & 0 & <... \end{matrix}] \end{matrix}

…”

Section: Basic Equationsmentioning

confidence: 99%

“…The relations between internal forces and moments with the strains, rotations and deflection can be expressed through the stiffness matrix as follows [39][40][41][42]…”

Section: Basic Equationsmentioning

confidence: 99%

“…Based on the NURBS formulation, thermal buckling and vibration of FG‐GRC higher‐order shear deformable plates were studied 37,38 . A homogeneous technique was developed for FG‐GRC structures stiffened by FG‐GRC higher‐order shear deformable stiffeners, and the buckling and postbuckling behavior of plates, cylindrical panels, and cylindrical shells under axial compression, external pressure, and combined loads was studied 39–43 …”

Section: Introductionmentioning

confidence: 99%

“…37,38 A homogeneous technique was developed for FG-GRC structures stiffened by FG-GRC higher-order shear deformable stiffeners, and the buckling and postbuckling behavior of plates, cylindrical panels, and cylindrical shells under axial compression, external pressure, and combined loads was studied. [39][40][41][42][43] Despite several investigations on FG-GRC laminated cylindrical panels subjected to various types of loads in a thermal environment, there has been no study on FG-GRC parabolic or half-sinusoid panels. Therefore, this paper presents and investigates three types of FG-GRC panels (parabolic panel, half-sinusoid panel, and cylindrical panel) on a nonlinear elastic foundation subjected to axial compressive loads in the thermal environment.…”

Section: Introductionmentioning

confidence: 99%

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A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Nam,

Van Doan,

Phuong

2023

Polymer Composites

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This paper presents and analyzes the nonlinear buckling responses of three types of shallow imperfect panels (cylindrical panel, parabolic panel, and half‐sinusoid panel) made from functionally graded graphene reinforced composite (FG‐GRC) on nonlinear elastic foundations subjected to axial compressive load in thermal environments. The nonlinear governing equations are formulated on Reddy's higher‐order shear deformation shell theory (HSDST) and take into account von Karman‐type nonlinearity. A new approximation technique to determine the stress function in average sense is developed and Galerkin's method is used to obtain the algebraically nonlinear equation system. Then, the simple calculation process can be used to solve the obtained equation systems, and the formulations to calculate the critical buckling loads and postbuckling load‐deflection curves are expressed in explicit form. The results can be flexibly applied to FG‐GRC panels with different curvatures in engineering designs. The effects of panel types, geometrical parameters, temperature increase, initial imperfection, and nonlinear elastic foundations on the critical buckling loads and postbuckling curves of cylindrical, parabolic, and half‐sinusoid FG‐GRC panels are discussed in numerical results. Numerical results also show a small disadvantage in the load‐carrying capacity of cylindrical panels compared to parabolic panels and half‐sinusoid shallow panels.Highlights Postbuckling of cylindrical, parabolic, and half‐sinusoid panels are studied. The panels are made of functionally graded graphene reinforced composite. Reddy's higher‐order shear deformation shell theory is applied. A new approximation technique to determine the stress function is developed. Critical buckling loads and postbuckling expressions are explicitly obtained.

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“…The relations between internal forces and moments with the strains, rotations and deflection can be expressed through the stiffness matrix as follows 39–42

({}, \begin{matrix} N_{xx} \\ N_{yy} \\ N_{xy} \\ M_{xx} \\ M_{yy} \\ M_{xy} \\ T_{xx} \\ T_{yy} \\ T_{xy} \end{matrix}) goodbreak= \begin{matrix} lefttrue \\ [\begin{matrix} A_{11} & A_{12} & 0 & C_{11} & C_{12} & 0 & V_{11} & V_{12} & 0 \\ A_{12} & A_{22} & 0 & C_{12} & C_{22} & 0 & V_{12} & V_{22} & 0 \\ 0 & 0 & A_{66} & 0 & 0 & C_{66} & 0 & 0 & V_{66} \\ C_{11} & C_{12} & 0 & D_{11} & D_{12} & 0 & U_{11} & U_{12} & 0 \\ C_{12} & C_{22} & 0 & D_{12} & D_{22} & 0 & U_{12} & U_{22} & 0 \\ 0 & 0 & C_{66} & 0 & 0 & D_{66} & 0 & 0 & U_{66} \\ V_{11} & V_{12} & 0 & U_{11} & U_{12} & 0 & Z_{11} & Z_{12} & 0 \\ V_{12} & V_{22} & 0 & U_{12} & U_{22} & 0 & Z_{12} & Z_{22} & 0 \\ 0 & 0 & V_{66} & 0 & 0 & U_{66} & 0 & 0 & <... \end{matrix}] \end{matrix}

…”

Section: Basic Equationsmentioning

confidence: 99%

“…The relations between internal forces and moments with the strains, rotations and deflection can be expressed through the stiffness matrix as follows [39][40][41][42]…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Nam,

Van Doan,

Phuong

2023

Polymer Composites

Self Cite

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“…When a composite contained CNTs with a gradient distribution, it is called as functionally-graded CNTreinforced composites (FG-CNTRC), [17] which can reduce the cost of CNT consumption and enhance mechanical properties of such composites. Mechanical properties of FG-CNTRC have been studied through a lot of theoretical models, which are developed based on the firstorder, [18,19] the second-order, [20] the third-order, [21] the refined, [22] or the higher-order [23,24] shear deformation theory (FSDT, SSDT, TSDT, RSDT, or HSDT). Take the FSDT for example, the forced vibration response of CNTRC beams was investigated by Civalek et al [25] by varying CNT's aspect ratio, volume fraction, and dynamic parameters.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded carbon nanotube‐reinforced composite damping structure based on the higher‐order shear deformation theory

Wang

Zheng

et al. 2022

Polymer Composites

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Multi-phase functionally graded carbon nanotube-reinforced composite damping structure (FG-CNTRCDS) excels other composite structures in that it inherits the excellent performance of the functionally graded carbon nanotube-reinforced composite, and exhibits an improved damping performance due to the added viscoelastic damping films. Despite its superior properties, investigations on dynamic properties of the FG-CNTRCDS under clamped boundary conditions are still lacking. Aiming at filling this gap and paving the way to accurately design and analyze the FG-CNTRCDS, a dynamic analytical model, which is based on the higher-order shear deformation theory to formulate governing equations for predicting free vibration of FG-CNTRCDS, has been established. The analytical solution that satisfies clamped boundary conditions is obtained using the Rayleigh-Ritz method. The existing analytical results from the literature have been used to verify the correctness of the theoretical model. In addition, effects of various structural parameters (such as volume fraction and core-to-skin thickness ratio) on dynamic performance have been investigated. Here, the dynamic performance refers to the first-order natural frequency and the first-order loss factor.

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Assessment of nanoclay impact on buckling response of carbon/Kevlar hybrid composites

et al. 2023

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This study investigates the effects of nanoclay (NC) particles on the buckling behavior of carbon/Kevlar intraply hybrid composites. The laminates containing various amounts of NC particles (0.5%, 1%, 1.5%, 2%, and 3% by weight) were manufactured using hand layup stacking followed by vacuum bag molding process. The prepared samples were subjected to axial and lateral compressive loads under fixed-fixed and fixed-free boundary conditions, respectively, and the relevant critical buckling loads were determined. Furthermore, the failure modes were examined via microscopic views taken from the damaged areas on the samples to fully understand the influences of NC particles on buckling characteristics. The findings demonstrated that the buckling behaviors of the samples were significantly affected by the introduction of NC particles. Compared with the composite samples without any NC particles, the composite samples with 1 wt% NC particles showed an increase of 21.12% and 25.33% in the axial and lateral critical buckling loads, respectively. However, the inclusion of NC particles with an amount that higher than 1 wt% showed a decreasing trend in terms of critical loads for both buckling loadings, which can be viewed as a measure of load-bearing capability. Moreover, the samples filled with 3 wt% NC particles exhibited a decrement on critical loads compared with those of samples without any NC particle filler. With the help of microscopic views, the failure modes were detected as matrix fragmentation and delamination for both buckling loadings.

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Nonlinear buckling of axially compressed FG‐GRCL stiffened cylindrical panels with a piezoelectric layer by using Reddy's higher‐order shear deformation theory

Abstract: This paper proposed a new analytical approach for the nonlinear buckling behavior of axially compressed functionally graded graphene reinforcement composite laminated (FG-GRCL) stiffened cylindrical panels with the piezo-

Cited by 10 publications

References 41 publications

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Free vibration of functionally graded carbon nanotube‐reinforced composite damping structure based on the higher‐order shear deformation theory

Assessment of nanoclay impact on buckling response of carbon/Kevlar hybrid composites

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