Surface and nonlocal effects on the axisymmetric buckling of circular graphene sheets in thermal environment

Farajpour, Ali; Dehghany, M.; Shahidi, Alireza

doi:10.1016/j.compositesb.2013.02.026

Cited by 66 publications

(24 citation statements)

References 43 publications

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“…Other advantages of this method are discussed in Civalek [2007], Mahmoud et al [2012], Farajpour et al [2013], Arani et al [2014]. To obtain the critical buckling loads and vibration frequencies of the rotating nanobeam by DQM, the authors refer the readers to Civalek [2007], Mahmoud et al [2012], Farajpour et al [2013] and Arani et al [2014]. In those references, the details of the application of the DQM was represented.…”

Section: Solution By Differential Quadrature Methodsmentioning

confidence: 98%

“…One of them is presented by Gurtin and Murdoch [1975]. In the recent years, this theory is extensively used by researchers to analyze the mechanical behavior of the nanostructures [Gurtin et al, 1976;Shenoy, 2005;Rao, 2007;Farajpour et al, 2013]. On the other hand, the nonlocal continuum theory employed to take into account the inter atomic forces in the nanoscale structures [Arani et al, 2012;.…”

Section: Governing Equation Of the Rotating Nanobeammentioning

confidence: 99%

See 1 more Smart Citation

Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy

Baghani

Mohammadi

Farajpour

2016

Int. J. Appl. Mechanics

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It is well-known that rotating nanobeams can have different dynamic and stability responses to various types of loadings. In this research, attention is focused on studying the effects of magnetic field, surface energy and compressive axial load on the dynamic and the stability behavior of the nanobeam. For this purpose, it is assumed that the rotating nanobeam is located in the nonuniform magnetic field and subjected to compressive axial load. The nonlocal elasticity theory and the Gurtin-Murdoch model are applied to consider the effects of inter atomic forces and surface energy effect on the vibration behavior of rotating nanobeam. The vibration frequencies and critical buckling loads of the nanobeam are computed by the differential quadrature method (DQM). Then, the numerical results are testified with those results are presented in the published works and a good correlation is obtained. Finally, the effects of angular velocity, magnetic field, boundary conditions, compressive axial load, small scale parameter and surface elastic constants on the dynamic and the stability behavior of the nanobeam are studied. The results show that the magnetic field, surface energy and the angular velocity have important roles in the dynamic and stability analysis of the nanobeams.

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Section: Solution By Differential Quadrature Methodsmentioning

confidence: 98%

Section: Governing Equation Of the Rotating Nanobeammentioning

confidence: 99%

Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy

Baghani

Mohammadi

Farajpour

2016

Int. J. Appl. Mechanics

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“…In recent years, the merits of using graphene materials for device design have received great attention by many scientific researchers due to the fact that a graphene sheet has only one carbon atom in thickness and a single graphite crystal layer does possess many excellent physical and chemical properties. Farajpour et al (2013) investigated the influence of temperature change, surface and nonlocal effects on the buckling of single-layered graphene sheets. Wang et al (2016) used the nonlocal elasticity theory to investigate the pull-in instability and frequency of graphene sheets subjected to electrostatic and van der Waals force.…”

Section: Introductionmentioning

confidence: 99%

Analysis of nonlocal nonlinear behavior of graphene sheet circular nanoplate actuators subject to uniform hydrostatic pressure

2017

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This study investigates the scale effect on nonlinear behavior of a clamped-clamped circular graphene sheet nanoplate actuator, which is electrostatically actuated by various vdW forces, tensile loads, and hydrostatic pressures. The circular nanoplate model is developed by using Eringen's nonlocal elasticity theory. The nonlinear behavior of the circular nanoplate actuator subject to nonlocal effect, electrostatic vdW forces, tensile loads, and hydrostatic pressures, is then carefully derived, analyzed and presented. A proposed hybrid differential transformation/finite difference method is first introduced to characterize the influence of scale effect on nonlinear behavior of the circular nanoplate subject to DC loads. The modeling result shows that the pull-in voltage deviates less than 2.71% as compared to that appeared in the literature obtained by using a different approach. The validity of the proposed hybrid method is thus verified and can thus be employed to further characterize the effect of small scale for different electrostatic actuation of tensile loads and hydrostatic pressures in greater details. The structural modeling results indicate that the pull-in voltage increases obviously with increasing scale effects. Overall, the results also reveal that the hybrid method presented in this paper is effective and can be used to accurately quantify the pull-in voltage in circular nanoplate systems under different associated actuation.

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“…Many researchers have recently suggested the application of the differential quadrature (DQ) method to the analysis of nanostructures (Khodami Maraghi et al, 2013;Farajpour et al, 2013;Ghorbanpour Ansari et al, 2013;Mousavi et al, 2013) as an accuracy, efficiency and great potential in solving complicated partial differential equations. DQ is capable of calculating derivative orders of the field variable up to N-1 order in the case of N grid points.…”

Section: Differential Quadrature Proceduresmentioning

confidence: 99%

Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM

Kananipour

2014

Lat. Am. j. solids struct.

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In this study, static analysis of the two-dimensional rectangular nanoplates are investigated by the Differential Quadrature Method (DQM). Numerical solution procedures are proposed for deflection of an embedded nanoplate under distributed nanoparticles based on the DQM within the framework of Kirchhoff and Mindlin plate theories. The governing equations and the related boundary conditions are derived by using nonlocal elasticity theory. The difference between the two models is discussed and bending properties of the nanoplate are illustrated. Consequently, the DQM has been successfully applied to analyze nanoplates with discontinuous loading and various boundary conditions for solving Kirchhoff and Mindlin plates with small-scale effect, which are not solvable directly. The results show that the above mentioned effects play an important role on the static behavior of the nanoplates.

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Surface and nonlocal effects on the axisymmetric buckling of circular graphene sheets in thermal environment

Cited by 66 publications

References 43 publications

Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy

Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy

Analysis of nonlocal nonlinear behavior of graphene sheet circular nanoplate actuators subject to uniform hydrostatic pressure

Static analysis of nanoplates based on the nonlocal Kirchhoff and Mindlin plate theories using DQM

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