2013
DOI: 10.1016/j.apm.2013.01.052
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Stress and strain-inertia gradient elasticity in free vibration analysis of single walled carbon nanotubes with first order shear deformation shell theory

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Cited by 34 publications
(10 citation statements)
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“…Experiment has indicated that the mechanical behavior of mirco-and nano-structures are highly size dependent [35,36]. For instance, the torsional hardening of copper wire increases by a factor of 3 as the wire diameter decreases from 170 to 12 µm [37].…”
Section: Fundamentals Of Strain Gradient Theorymentioning
confidence: 98%
“…Experiment has indicated that the mechanical behavior of mirco-and nano-structures are highly size dependent [35,36]. For instance, the torsional hardening of copper wire increases by a factor of 3 as the wire diameter decreases from 170 to 12 µm [37].…”
Section: Fundamentals Of Strain Gradient Theorymentioning
confidence: 98%
“…It is further assumed that the relative displacement u α is small compared to the doublet separation distance η α (| u α | η α ) whereby it may be concluded that the unit vector τ α = τ 0 α [21]. The extensional microstrain scalar measure ε α , representing the axial deformation of the doublet vector, is defined as [29]:…”
Section: Brief Review Of Dmmentioning
confidence: 99%
“…Theory of continuum mechanics is used to develop the equations of motion whereas the small scale effects due to atomic scale of the lattice structures of CNTs are not taken into account. Moreover, the length scales associated with nanotubes are often sufficiently small to call the applicability of classical continuum models into question [21]. Classical continuum mechanics modelling assumptions are conducive to erroneous results, when applied to material domains especially where the typical microstructural dimension is comparable with the structural ones [22].…”
Section: Introductionmentioning
confidence: 99%
“…Actuated MEMS/NEMS devices are widely utilized in inkjet printers, switches, gyroscopes, chemo-sensors, micro-manipulators and so on. Recently, several numerical and experimental studies have been conducted on the pull-in instability, static and dynamic behavior of MEMS/NEMS devices [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Vibrations of electrostatically actuated microbeams have been analyzed by Batra et al [1].…”
Section: Introductionmentioning
confidence: 99%