Journal ArticleDOI
Vibration of carbon nanotubes studied using nonlocal continuum mechanics
Quan Wang,Vijay K. Varadan +1 more
TLDR
In this article, a nonlocal continuum mechanics model is developed and applied to study the vibration of both single-walled nanotubes (SWNTs) and double-weled nanotsubes (DWNTs), via elastic beam theories.Abstract:
A nonlocal continuum mechanics model is developed and applied to study the vibration of both single-walled nanotubes (SWNTs) and double-walled nanotubes (DWNTs) via elastic beam theories. The small-scale effects on vibration characteristics of carbon nanotubes are explicitly derived through a complete mechanics analysis. A qualitative validation study shows that the results based on nonlocal continuum mechanics are in agreement with the published experimental reports in this field. Numerical simulations are conducted to quantitatively show the small-scale effect on vibrations of both SWNTs and DWNTs with different lengths and diameters.read more
Citations
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Journal ArticleDOI
Nonlocal theories for bending, buckling and vibration of beams
J. N. Reddy,J. N. Reddy +1 more
TL;DR: In this article, the Euler-Bernoulli, Timoshenko, Reddy, and Levinson beam theories are reformulated using the nonlocal differential constitutive relations of Eringen.
Journal ArticleDOI
A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes
Behrouz Arash,Quan Wang +1 more
TL;DR: In this paper, the authors provide an introduction to the development of the nonlocal continuum theory in modeling the nano-materials, survey the different non-local continuum models, and motivate further applications of nonlocal theory to nanomaterial modeling.
Journal ArticleDOI
A nonlocal beam theory for bending, buckling, and vibration of nanobeams
TL;DR: In this paper, a nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration of nanobeams using the nonlocal differential constitutive relations of Eringen.
Journal ArticleDOI
Vibration of nonlocal Timoshenko beams
TL;DR: In this paper, the free vibration problem for micro/nanobeams modelled after Eringen's nonlocal elasticity theory and Timoshenko beam theory is considered and the governing equations and the boundary conditions are derived using Hamilton's principle.
Journal ArticleDOI
Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory
TL;DR: In this article, the elastic buckling analysis of micro- and nano-rods/tubes based on Eringen's nonlocal elasticity theory and the Timoshenko beam theory is concerned.
References
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Journal ArticleDOI
Helical microtubules of graphitic carbon
TL;DR: Iijima et al. as mentioned in this paper reported the preparation of a new type of finite carbon structure consisting of needle-like tubes, which were produced using an arc-discharge evaporation method similar to that used for fullerene synthesis.
Journal ArticleDOI
Carbon Nanotubes--the Route Toward Applications
TL;DR: Many potential applications have been proposed for carbon nanotubes, including conductive and high-strength composites; energy storage and energy conversion devices; sensors; field emission displays and radiation sources; hydrogen storage media; and nanometer-sized semiconductor devices, probes, and interconnects.
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Exceptionally high Young's modulus observed for individual carbon nanotubes
TL;DR: In this article, the amplitude of the intrinsic thermal vibrations of isolated carbon nanotubes was measured in the transmission electron microscopy (TEM) and it was shown that they have exceptionally high Young's moduli, in the terapascal (TPa) range.
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Nanobeam mechanics: Elasticity, strength, and toughness of nanorods and nanotubes
TL;DR: In this paper, the Young's modulus, strength, and toughness of nanostructures are evaluated using an atomic force microscopy (AFM) approach. And the results showed that the strength of the SiC NRs were substantially greater than those found previously for larger SiC structures, and they approach theoretical values.
Journal ArticleDOI
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.