Axial dynamics of a nanorod embedded in an elastic medium using doublet mechanics

Gül, Ufuk; Aydoğdu, Metin; Gaygusuzoğlu, Güler

doi:10.1016/j.compstruct.2016.11.023

Cited by 40 publications

(12 citation statements)

References 27 publications

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“…The number of terms of Taylor series taken in to account is only related to the discreteness of the domain. If we consider the only first term in the Taylor series expansion, then governing equations will reduce to classical elasticity theory [112][113][114].…”

Section: Nonlocal Doublet Mechanicsmentioning

confidence: 99%

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Advances in modelling and analysis of nano structures: a review

Chandel

Wang

Talha

2020

Nanotechnology Reviews

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AbstractNanostructures are widely used in nano and micro-sized systems and devices such as biosensors, nano actuators, nano-probes, and nano-electro-mechanical systems. The complete understanding of the mechanical behavior of nanostructures is crucial for the design of nanodevices and systems. Therefore, the flexural, stability and vibration analysis of various nanostructures such as nanowires, nanotubes, nanobeams, nanoplates, graphene sheets and nanoshells has received a great attention in recent years. The focus has been made, to present the structural analysis of nanostructures under thermo-magneto-electro-mechanical loadings under various boundary and environmental conditions. This paper also provides an overview of analytical modeling methods, fabrication procedures, key challenges and future scopes of development in the direction of analysis of such structures, which will be helpful for appropriate design and analysis of nanodevices for the application in the various fields of nanotechnology.

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Section: Nonlocal Doublet Mechanicsmentioning

confidence: 99%

“…Gul et al [112] reported the axial vibration analysis of CNTs embedded in an elastic medium using scaledependent DM. They derived governing equations and corresponding boundary conditions based on the variational principle and obtained the natural frequencies.…”

Section: Nonlocal Doublet Mechanicsmentioning

confidence: 99%

Advances in modelling and analysis of nano structures: a review

Chandel

Wang

Talha

2020

Nanotechnology Reviews

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“…Statics and dynamics of nanoscale structures can be achieved with higher order size dependent continuum mechanics theories: strain gradient [4], stress gradient [5,6], couple stress [7], doublet mechanics [8] and peridynamics [9]. It has been presented in earlier works that classical elasticity theory is inadequate in the modelling of CNTs due to its size independent characteristics.…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory

Arda

2020

International Journal of Engineering and Applied Sciences

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Buckling of axially loaded cantilever nanobeams with intermediate support have been studied in the current study. Higher order size dependent strain gradient theory has been utilized to capture the scale effect in nano dimension. Minimum total potential energy formulation has been used in modeling of nanobeam. Approximate Ritz method has been applied to the energy formulation for obtaining critical buckling loads. Position of the intermediate support has been varied and its effect on the critical buckling load has been investigated in the analysis. Mode shapes in critical buckling loads have been shown for various intermediate support positions. Present results could be useful in design of carbon nanotube resonators.

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“…Kojic et al [37] reformulated DM using the FEM to further expand the capabilities of the FEM. Also, notable are articles on wave propagation in granular media [38,39] and medical applications [40,41] as well as recent articles on vibration analysis of single walled carbon nanotubes, [42][43][44][45][46] single layered graphene sheets, [47] nanorods embedded in an elastic medium, [48] and modeling of nanorods. [49] F I G U R E 1 A doublet particle [42] F I G U R E 2 Translations and rotations of doublet nodes [16] However, bending analysis of Euler-Bernoulli and Timoshenko nanobeams based on DM does not seem to have been considered so far, which is the subject of study of the present paper.…”

Section: Introductionmentioning

confidence: 99%

Doublet mechanical analysis of bending of Euler‐Bernoulli and Timoshenko nanobeams

2018

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By taking the effect of the scale parameter explicitly into account, bending behavior of Euler‐Bernoulli and Timoshenko nanobeams is studied using doublet mechanics. In addition, the effect of chirality on the softening or hardening behavior of an Euler‐Bernoulli nanobeam in bending is studied by taking the effect of the chiral angle explicitly into account. For the bending of the Timoshenko nanobeam the effect of the scale parameter and chirality on the axial and shear stresses is studied and the results are compared with the gradient and Eringen‐like models. It is shown that as the chiral angle increases, a simply supported Timoshenko nanobeam under a uniform loading changes from a softening to a hardening nanobeam indicating that chirality has a pronounced effect on the bending response of the nanobeams.

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Axial dynamics of a nanorod embedded in an elastic medium using doublet mechanics

Cited by 40 publications

References 27 publications

Advances in modelling and analysis of nano structures: a review

Advances in modelling and analysis of nano structures: a review

Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory

Doublet mechanical analysis of bending of Euler‐Bernoulli and Timoshenko nanobeams

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