Carbon Nanotubes and Nanosensors

Elishakoff, Isaac; Pentaras, Demetris; Dujat, Kevin; Versaci, Claudia; Muscolino, G.; Storch, Joel; Bucas, Simon; Challamel, Noël; Natsuki, Toshiaki; Zhang, Yingyan; Wang, Chen; Ghyselinck, Guillaume

doi:10.1002/9781118562000

Cited by 57 publications

(15 citation statements)

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“… Although it has been demonstrated that one-dimensional continuum modeling based on beam theory is applicable for particular nanoscale devices (e.g., [ 9 ]), the continued miniaturization of mass-detection devices may eventually push the limits of classical modeling approaches. To address this issue, an extension of the present model to incorporate small-scale effects such as non-locality [ 14 , 16 , 47 ], surface effects [ 16 , 47 ], couple-stress effects [ 34 ], and microstructural inhomogeneity [ 34 , 35 ] should be pursued. Future work may also include a detailed exploration of back-calculation algorithms, based on the present model, for converting multi-modal frequency data to information on the position, mass, and geometry of the adsorbate.…”

Section: Summary/conclusion/outlookmentioning

confidence: 99%

“…In recent years resonant micro/nanoelectromechanical systems (MEMS/NEMS) [ 1 ] have received a great deal of attention from researchers in applications such as mass detection [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ], chemical sensing [ 1 , 11 , 20 , 21 ], biosensing [ 1 , 11 , 14 , 16 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 ], and atomic force microscopy (AFM) [ 36 , 37 , 38 ]. Resonant MEMS/NEMS have also been the focus of numerous studies in the sensors-related area of vibration energy harvesting, in which the objective is often to power autonomous sensing systems that are remotely deployed [ 1 , 39 , 40 , 41 , 42 ,…”

Section: Introductionmentioning

confidence: 99%

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Toward Higher-Order Mass Detection: Influence of an Adsorbate’s Rotational Inertia and Eccentricity on the Resonant Response of a Bernoulli-Euler Cantilever Beam

Heinrich

Dufour

2015

Sensors

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In this paper a new theoretical model is derived, the results of which permit a detailed examination of how the resonant characteristics of a cantilever are influenced by a particle (adsorbate) attached at an arbitrary position along the beam’s length. Unlike most previous work, the particle need not be small in mass or dimension relative to the beam, and the adsorbate’s geometric characteristics are incorporated into the model via its rotational inertia and eccentricity relative to the beam axis. For the special case in which the adsorbate’s (translational) mass is indeed small, an analytical solution is obtained for the particle-induced resonant frequency shift of an arbitrary flexural mode, including the effects of rotational inertia and eccentricity. This solution is shown to possess the exact first-order behavior in the normalized particle mass and represents a generalization of analytical solutions derived by others in earlier studies. The results suggest the potential for “higher-order” nanobeam-based mass detection methods by which the multi-mode frequency response reflects not only the adsorbate’s mass but also important geometric data related to its size, shape, or orientation (i.e., the mass distribution), thus resulting in more highly discriminatory techniques for discrete-mass sensing.

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Section: Summary/conclusion/outlookmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Toward Higher-Order Mass Detection: Influence of an Adsorbate’s Rotational Inertia and Eccentricity on the Resonant Response of a Bernoulli-Euler Cantilever Beam

Heinrich

Dufour

2015

Sensors

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“…Nanobeams have significant potential for application in nanoelectromechanical systems (NEMS) [ 1 , 2 ]. However, how to precisely model the mechanical properties of nanobeams under combined physical fields is still an open research question [ 3 , 4 ].…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes

Huang

2023

Nanomaterials

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Although small-scale effect or thermal stress significantly impact the mechanical properties of nanobeams, their combined effects and the temperature dependence of the elastic parameters have yet to attract the attention of researchers. In the present paper, we propose a new nonlocal nonlinear Euler–Bernoulli theory to model the mechanical properties of nanobeams. We considered the small-scale effect, thermal stress, and the temperature dependence of Young’s modulus. A single-walled carbon nanotube (SWCNT) was used to demonstrate the influence of the three factors on elastic buckling and forced bending vibrations. The results indicate that thermal stress and the temperature dependence of Young’s modulus have a remarkable influence on the mechanical properties of slender SWCNTs as compared to the small-scale effect induced by the nonlocal effect. Ignoring the temperature effect of slender SWCNTs may cause qualitative mistakes.

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“…This interest in carbon nanotubes is due to their extraordinary mechanical properties, in particular very high elastic modulus and tensile strength, together with their very small diameter, which allows them to reach natural frequencies of the THz order, and therefore leads them to be applied in several high sensitivity electro-mechanical systems, such as resonators, sensors and oscillators [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Shell Theories for Vibration Analysis of Single-Walled Carbon Nanotubes Based on an Anisotropic Elastic Shell Model

Strozzi¹,

Elishakoff²,

Bochicchio³

et al. 2023

Preprint

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In the present paper, the comparison is conducted between three classical shell theories as applied to the linear vibrations of single-walled carbon nanotubes (SWCNTs); specifically, the evaluation of the natural frequencies is conducted via Donnell, Sanders and Flügge shell theories. The actual discrete SWCNT is modelled by means of a continuous homogeneous cylindrical shell considering equivalent thickness and surface density. In order to take into account the intrinsic chirality of carbon nanotubes (CNTs), a molecular based anisotropic elastic shell model is considered. Simply supported boundary conditions are imposed and complex method is applied to solve the equations of motion and to obtain the natural frequencies. Comparisons with the results of molecular dynamics simulations available in literature are performed to check the accuracy of the three different shell theories, where Flügge shell theory is found to be the most accurate. Then, a parametric analysis evaluating the effect of diameter, aspect ratio and number of waves along the longitudinal and circumferential directions on the natural frequencies of SWCNTs is performed in the framework of the three different shell theories. Assuming the results of Flügge shell theory as references, it is obtained that Donnell shell theory is not accurate for relatively low longitudinal and circumferential wavenumbers, for relatively low diameters and for relatively high aspect ratios. On the other hand, it is obtained that Sanders shell theory is very accurate for all the considered geometries and wavenumbers, and therefore it can be correctly adopted instead of the more complex Flügge shell theory for the vibration modelling of SWCNTs.

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Carbon Nanotubes and Nanosensors

Cited by 57 publications

References 0 publications

Toward Higher-Order Mass Detection: Influence of an Adsorbate’s Rotational Inertia and Eccentricity on the Resonant Response of a Bernoulli-Euler Cantilever Beam

Toward Higher-Order Mass Detection: Influence of an Adsorbate’s Rotational Inertia and Eccentricity on the Resonant Response of a Bernoulli-Euler Cantilever Beam

A Nonlinear Nonlocal Thermoelasticity Euler–Bernoulli Beam Theory and Its Application to Single-Walled Carbon Nanotubes

A Comparison of Shell Theories for Vibration Analysis of Single-Walled Carbon Nanotubes Based on an Anisotropic Elastic Shell Model

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