Journal ArticleDOI
Small scale effect on elastic buckling of carbon nanotubes with nonlocal continuum models
TLDR
In this paper, a non-local elastic beam and shell model was developed and applied to investigate the small scale effect on buckling analysis of carbon nanotubes (CNTs) under compression.About:
This article is published in Physics Letters A.The article was published on 2006-09-04. It has received 192 citations till now. The article focuses on the topics: Buckling & Continuum mechanics.read more
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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
Nonlocal plate model for free vibrations of single-layered graphene sheets
TL;DR: In this paper, the vibration analysis of single-layered graphene sheets (SLGSs) is investigated using nonlocal continuum plate model to evaluate the natural frequencies of the graphene sheets with considering the size-effects on the vibrational characteristics of them.
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Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory
Mesut Şimşek,H.H. Yurtcu +1 more
TL;DR: In this paper, a non-classical (non-local) nanobeam model incorporating the length scale parameter (nonlocal parameter) which can capture the small scale effect is proposed.
Journal ArticleDOI
A review of continuum mechanics models for size-dependent analysis of beams and plates
TL;DR: In this paper, a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures is presented, mainly focusing on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory.
References
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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.
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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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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.