Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels

Zghal, Souhir; Frikha, Ahmed; Dammak, Fakhreddine

doi:10.1016/j.compositesb.2018.05.037

Cited by 111 publications

(37 citation statements)

References 59 publications

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“…Trabelsi et al 23 introduced a modified four nodes finite shell element for thermal buckling analysis of FG plates and cylindrical shells. Zghal et al 24 analyzed the buckling of FG powerbased and CNTRC plates and curved panels, and the effects of agglomeration on the natural frequencies of FG-CNTRC doubly curved shells are studied by Tornabene et al 25 Frikha et al 26 studied the dynamic behavior of FG-CNTRC plates and shells using a double directors finite shell element, and Tornabene et al 27 applied GDQ solution for free vibrations of FG and laminated doubly curved shells and panels of revolution with a free-form meridian. Tornabene 28 studied the free vibration of FG conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution using GDQ method.…”

Section: Introductionmentioning

confidence: 99%

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Vibration and stability analysis of functionally graded CNT-reinforced composite beams with variable thickness on elastic foundation

Mohseni

Shakouri

2019

Proceedings of the IMechE

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The free vibration and buckling of functionally graded carbon nanotube reinforced composite beams with variable thickness resting on elastic foundations are investigated in the present paper. To account rotary inertia and transverse shear deformation effects, the Timoshenko beam theory is employed and governing equations are derived using Hamilton's principle. The obtained equations are solved using generalized differential quadrature method. Different carbon nanotube distributions through the thickness are considered, and the rule of mixture is used to describe the effective material properties of the functionally graded reinforced beams. The results are validated with available investigations, and the effects of boundary conditions, nanotube volume fraction and distribution, foundation and thickness ratio on both natural frequency and buckling load are studied. Finally, due to the weight optimization in aerospace and turbomachinery applications, the optimum beam shape and nanotube distribution are suggested to achieve the most capacity of bearing axial loads with fixed weight.

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Section: Introductionmentioning

confidence: 99%

“…Zghal et al. 24 analyzed the buckling of FG power-based and CNTRC plates and curved panels, and the effects of agglomeration on the natural frequencies of FG-CNTRC doubly curved shells are studied by Tornabene et al. 25 Frikha et al.…”

Section: Introductionmentioning

confidence: 99%

Vibration and stability analysis of functionally graded CNT-reinforced composite beams with variable thickness on elastic foundation

Mohseni

Shakouri

2019

Proceedings of the IMechE

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“…[24] and Zghal et al. [25] using analytical and numerical methods, respectively. Employing a shell finite element method, Macias et al.…”

Section: Introductionmentioning

confidence: 99%

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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“…Stimulated by Shen's proposal, numerous studies of static and dynamic responses of FG-CNTRC structures in general and FG-CNTRC curved panels and shells in particular have been performed. Buckling behavior of FG-CNTRC cylindrical panels under mechanical loads is analyzed in works of Macias et al [3] and Zghal et al [4] using finite element methods. Shen [5] studied the postbuckling of FG-CNTRC cylindrical panels under external pressure in thermal environments.…”

Section: Introductionmentioning

confidence: 99%

Thermal postbuckling analysis of FG-CNTRC doubly curved panels with elastically restrained edges using Reddy's higher order shear deformation theory

2020

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For the first time, postbuckling behavior of thick doubly curved panels made of carbon nanotube reinforced composite (CNTRC), under preexisting external pressure and subjected to uniform temperature rise is analyzed in this paper. Carbon nanotubes (CNTs) are reinforced into matrix through functionally graded (FG) distribution patterns, and effective properties of CNTRC are determined according to extended rule of mixture. Formulations are based on a higher order shear deformation theory including Von Karman-Donnell nonlinearity, initial geometrical imperfection and elasticity of tangential constraints of boundary edges. Analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is used to obtain nonlinear load-deflection relation. Taking into account temperature dependence of material properties, postbuckling temperature-deflection paths are traced through an iteration process. The effects of preexisting external pressure, CNT volume fraction, tangential edge constraints, initial geometrical imperfection and curvature ratios on thermal postbuckling behavior of CNTRC doubly curved panels are analyzed through numerical examples. The study reveals that thermally loaded panels experiences a quasi-bifurcation response due to the presence of preexisting external pressure. For the most part, perfect panels are deflected toward convex side at the onset of undergoing thermal load. Particularly, imperfect panels may exhibit a bifurcation type buckling response when imperfection size satisfy a special condition.

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Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels

Cited by 111 publications

References 59 publications

Vibration and stability analysis of functionally graded CNT-reinforced composite beams with variable thickness on elastic foundation

Vibration and stability analysis of functionally graded CNT-reinforced composite beams with variable thickness on elastic foundation

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

Thermal postbuckling analysis of FG-CNTRC doubly curved panels with elastically restrained edges using Reddy's higher order shear deformation theory

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