Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

Karami, Behrouz; Janghorban, Maziar; Shahsavari, Davood; Dimitri, Rossana; Tornabene, Francesco

doi:10.3390/molecules24152750

Cited by 43 publications

(8 citation statements)

References 46 publications

(48 reference statements)

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“…where w CN is the mass fraction of the nanotube. It was assumed that V CN is defined as a function of the thickness coordinate as follows [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] (see Figure 2): [24]:…”

Section: Modeling Of Materials Propertiesmentioning

confidence: 99%

“…For these reasons, the researchers have begun to study the static and dynamic responses of cylindrical shape structures originating from CNT. The first studies of the static and dynamic behavior of CNT-based cylindrical shells, without considering the influence of soils, were carried out, and there are many significant studies on this topic [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

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Influences of Elastic Foundations and Material Gradient on the Dynamic Response of Polymer Cylindrical Pipes Patterned by Carbon Nanotube Subjected to Moving Pressures

et al. 2021

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Composite materials are frequently used in the construction of rail, tunnels, and pipelines as well as in the construction of aircraft, ships, and chemical pipelines. When such structural elements are formed from new-generation composites, such as CNT-reinforced composites, and their interaction with the ground, there is a need to renew the dynamic response calculations under moving pressures and to create new mathematical solution methods during their design. The aim of this study was to analyze the influences of elastic foundations (EFs) and material gradient on the dynamic response of infinitely long carbon nanotube (CNT)-based polymer pipes under combined static and moving pressures. The CNT-based polymer pipes resting on the EFs were exposed to the axial and moving pressures. The uniform and heterogeneous reinforcement distributions of CNTs, which varied linearly throughout the thickness of polymer pipes, were considered. After setting the problem, the fundamental equations derived to find new analytical expressions for dynamic coefficients and critical velocity, which are dynamic characteristics of cylindrical pipes reinforced by the uniform and linear distributions of CNTs, were solved in the framework of the vibration theory. Finally, numerical computations were performed to examine the effects of EFs on the critical parameters depending on the characteristics of the pipes, the speed of moving pressures, the shape of the distribution of CNTs, and the change in volume fractions.

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Section: Modeling Of Materials Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influences of Elastic Foundations and Material Gradient on the Dynamic Response of Polymer Cylindrical Pipes Patterned by Carbon Nanotube Subjected to Moving Pressures

et al. 2021

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“…Mohamed et al [36] later proposed a differential quadrature method to study the nonlinear free and forced vibrations of buckled curved beams resting on nonlinear elastic foundations. A further attempt of combining the nonlocal strain gradient and higher-order shell theories was conducted by Karami et al [37] for a wave dispersion study in anisotropic doubly-curved nanoshells, as well as in [38][39][40][41] for FG-CNTRC curved nanobeams also in coupled piezoelectric conditions. In another work, Arefi et al [42] predicted the static deflection and stress field of curved FG-CNTRC nonlocal Timoshenko nanobeams resting on an elastic foundation under four different distribution patterns of CNTs throughout the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of CNTRC Curved Sandwich Nanobeams in Thermal Environment

et al. 2021

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This paper presents a mathematical continuum model to investigate the static stability buckling of cross-ply single-walled (SW) carbon nanotube reinforced composite (CNTRC) curved sandwich nanobeams in thermal environment, based on a novel quasi-3D higher-order shear deformation theory. The study considers possible nano-scale size effects in agreement with a nonlocal strain gradient theory, including a higher-order nonlocal parameter (material scale) and gradient length scale (size scale), to account for size-dependent properties. Several types of reinforcement material distributions are assumed, namely a uniform distribution (UD) as well as X- and O- functionally graded (FG) distributions. The material properties are also assumed to be temperature-dependent in agreement with the Touloukian principle. The problem is solved in closed form by applying the Galerkin method, where a numerical study is performed systematically to validate the proposed model, and check for the effects of several factors on the buckling response of CNTRC curved sandwich nanobeams, including the reinforcement material distributions, boundary conditions, length scale and nonlocal parameters, together with some geometry properties, such as the opening angle and slenderness ratio. The proposed model is verified to be an effective theoretical tool to treat the thermal buckling response of curved CNTRC sandwich nanobeams, ranging from macroscale to nanoscale, whose examples could be of great interest for the design of many nanostructural components in different engineering applications.

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“…Recently, nanotechnology has presented a new field of applied sciences which deals with the mechanical analysis of the micro-and nanolength scale structures [1][2][3][4][5][6][7][8][9]. Among these, nanotubes and nanorings are the most applicable nanostructures which can play an important role for different applications [10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Lateral buckling analysis of nanotubes and nanorings under uniform external pressure: a closed-form nonlocal solution

Hosseini-Ara

Kashi

Toghraie

2021

J Braz. Soc. Mech. Sci. Eng.

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This study presents a modified cylindrical shell theory to predict the critical lateral buckling of both nanotubes and nanorings under uniform external pressure. To this end, nonlocal elasticity theory is incorporated into Donnell's cylindrical shell model and closed-form critical lateral buckling solutions for different nanotubes and nanorings are derived from the coupled displacement equations. In this regard, a novel method is presented for decoupling the displacement equations to facilitate the derivation of the equations and results. Also, the effects of nonlocal parameter, aspect ratio, and mode numbers are investigated for lateral buckling of short and long nanotubes as well as nanorings. Results show that increasing the nonlocal effects, aspect ratio, and mode numbers of the nanotubes can reduce the value of the critical lateral pressure. Finally, the numerical results are compared with existing literature and show good agreement. The results of the new model are more accurate to capture the size effects for nanotubes and nanorings. These findings are useful for designing nanoscale devices.

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Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

Cited by 43 publications

References 46 publications

Influences of Elastic Foundations and Material Gradient on the Dynamic Response of Polymer Cylindrical Pipes Patterned by Carbon Nanotube Subjected to Moving Pressures

Influences of Elastic Foundations and Material Gradient on the Dynamic Response of Polymer Cylindrical Pipes Patterned by Carbon Nanotube Subjected to Moving Pressures

Buckling Analysis of CNTRC Curved Sandwich Nanobeams in Thermal Environment

Lateral buckling analysis of nanotubes and nanorings under uniform external pressure: a closed-form nonlocal solution

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