On the carbon nanotube mass nanosensor by integral form of nonlocal elasticity

Fakher, Mahmood; Rahmanian, Sasan; Hosseini-Hashemi, Shahrokh

doi:10.1016/j.ijmecsci.2018.10.051

Cited by 44 publications

(16 citation statements)

References 61 publications

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“…Wherefore, Eringen's theory -with its enhanced versions-seems to be mainly conducted in investigation of structures exhibiting neighbouring attractions (e.g. nano or micro sized materials such as; molecular arrays, carbon nanotubes, atomic-sized sensors) [38][39][40][41][42][43][44][45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Stress distribution around an elliptic hole in a plate with ‘implicit’ and ‘explicit’ non-local models

Tuna

Trovalusci

2021

Composite Structures

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Section: Introductionmentioning

confidence: 99%

Stress distribution around an elliptic hole in a plate with ‘implicit’ and ‘explicit’ non-local models

Tuna

Trovalusci

2021

Composite Structures

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“…The nonlocal Timoshenko beam model has been used in many studies since Peddieson [ 41 ] applied Eringenś theory of nonlocal elasticity [ 42 ] in nanotechnology [ 43 , 44 , 45 ], bending [ 46 , 47 ], buckling [ 48 ], and vibrations of elastic nano-beams [ 49 , 50 , 51 ]. Moreover, nonlocal elasticity theory has been also adopted in the bending of beam elements in microelectromechanical and nanoelectromechanical system devices [ 52 , 53 , 54 , 55 ], such as carbon nanomaterials as mass sensors [ 53 , 54 , 55 ].…”

Section: Introductionmentioning

confidence: 99%

Vibration Control of Diamond Nanothreads by Lattice Defect Introduction for Application in Nanomechanical Sensors

2021

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Carbon nanomaterials, such as carbon nanotubes (CNTs) and graphene sheets (GSs), have been adopted as resonators in vibration-based nanomechanical sensors because of their extremely high stiffness and small size. Diamond nanothreads (DNTs) are a new class of one-dimensional carbon nanomaterials with extraordinary physical and chemical properties. Their structures are similar to that of diamond in that they possess sp3-bonds formed by a covalent interaction between multiple benzene molecules. In this study, we focus on investigating the mechanical properties and vibration behaviors of DNTs with and without lattice defects and examine the influence of density and configuration of lattice defects on the two them in detail, using the molecular dynamics method and a continuum mechanics approach. We find that Young’s modulus and the natural frequency can be controlled by alternating the density of the lattice defects. Furthermore, we investigate and explore the use of DNTs as resonators in nanosensors. It is shown that applying an additional extremely small mass or strain to all types of DNTs significantly changes their resonance frequencies. The results show that, similar to CNTs and GSs, DNTs have potential application as resonators in nano-mass and nano-strain sensors. In particular, the vibration behaviors of DNT resonators can be controlled by alternating the density of the lattice defects to achieve the best sensitivities.

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“…Numerical solutions such as finite elements Ovesy, 2017, 2018;Norouzzadeh and Ansari, 2017;Taghizadeh et al, 2016;Tuna and Kirca, 2017a) and Rayleigh-Ritz (Fakher and Hosseini-Hashemi, 2017) methods have been used by researchers to investigate the mechanics of nanobeams with integral nonlocal elasticity. Fakher et al (2018) studied the vibration of a mass nanosensor, consisting of a cantilevered carbon nanotube with a size-dependent nonlocal elastic foundation, by the finite element model of integral nonlocal elasticity. Also, Koutsoumaris and Eptaimeros (2018) explored the strain of the beams under bending via bi-Helmholtz operators and its kernel function in the integral nonlocal elasticity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of two-phase local/nonlocal nanobeams with size-dependent nonlinearity by using Galerkin method

Fakher

Hosseini-Hashemi

2020

Journal of Vibration and Control

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It has been proved that using pure nonlocal elasticity, especially in differential form, leads to inconsistent and unreliable results. Therefore, to obviate these weaknesses, Eringen’s two-phase local/nonlocal elasticity has been recently used by researchers to consider the nonlocal size dependency of nanostructures. Given this, for the first time, the size-dependent nonlinear free vibration of nanobeams is investigated in this article within the framework of two-phase elasticity by using the Galerkin method. Contrary to differential nonlocal elasticity, the size dependency of the axial tension force, due to von Karman nonlinearity, is considered, and its effect on the nonlinear vibration is examined. The correct procedure of using the Galerkin method for studying the nonlinear vibration of two-phase nanobeams is introduced. It is shown that, although it is possible to extract the linear mode shapes of two-phase nanobeams using its equal differential equation, integral form of two-phase elasticity should be considered in the Galerkin method. Furthermore, it is observed that in two-phase elasticity, applying classic mode shapes in the Galerkin method leads to significant errors, especially in higher nonlocal parameters and lower values of local phase fraction and amplitude ratios.

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On the carbon nanotube mass nanosensor by integral form of nonlocal elasticity

Cited by 44 publications

References 61 publications

Stress distribution around an elliptic hole in a plate with ‘implicit’ and ‘explicit’ non-local models

Stress distribution around an elliptic hole in a plate with ‘implicit’ and ‘explicit’ non-local models

Vibration Control of Diamond Nanothreads by Lattice Defect Introduction for Application in Nanomechanical Sensors

Nonlinear vibration analysis of two-phase local/nonlocal nanobeams with size-dependent nonlinearity by using Galerkin method

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