Advances in nano research

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Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes

  • Received : 2012.07.10
  • Accepted : 2013.02.18
  • Published : 2013.03.25
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Abstract

The thermal buckling properties of double-walled carbon nanotubes (DWCNTs) are studied using nonlocal Timoshenko beam model, including the effects of transverse shear deformation and rotary inertia. The DWCNTs are considered as two nanotube shells coupled through the van der Waals interaction between them. The geometric nonlinearity is taken into account, which arises from the mid-plane stretching. Considering the small-scale effects, the governing equilibrium equations are derived and the critical buckling temperatures under uniform temperature rise are obtained. The results show that the critical buckling temperature can be overestimated by the local beam model if the nonlocal effect is overlooked for long nanotubes. In addition, the effect of shear deformation and rotary inertia on the buckling temperature is more obvious for the higher-order modes. The investigation of the thermal buckling properties of DWCNTs may be used as a useful reference for the application and the design of nanostructures in which DWCNTs act as basic elements.

Keywords

References

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  82. Vibration Analysis of Nano Beam Using Differential Transform Method Including Thermal Effect vol.54, pp.1661-9897, 2018, https://doi.org/10.4028/www.scientific.net/JNanoR.54.1
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  84. A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams vol.19, pp.2, 2017, https://doi.org/10.12989/sss.2017.19.2.115
  85. Bending and stability analysis of size-dependent compositionally graded Timoshenko nanobeams with porosities vol.6, pp.1, 2017, https://doi.org/10.12989/amr.2017.6.1.045
  86. Buckling temperature of a single-walled boron nitride nanotubes using a novel nonlocal beam model vol.5, pp.1, 2017, https://doi.org/10.12989/anr.2017.5.1.001
  87. Wave propagation in functionally graded beams using various higher-order shear deformation beams theories vol.62, pp.2, 2013, https://doi.org/10.12989/sem.2017.62.2.143
  88. A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams vol.62, pp.6, 2017, https://doi.org/10.12989/sem.2017.62.6.695
  89. Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities vol.5, pp.4, 2017, https://doi.org/10.12989/anr.2017.5.4.393
  90. Vibration analysis of carbon nanotubes with multiple cracks in thermal environment vol.6, pp.1, 2013, https://doi.org/10.12989/anr.2018.6.1.057
  91. Nonlocal vibrations and potential instability of monolayers from double-walled carbon nanotubes subjected to temperature gradients vol.144, pp.None, 2018, https://doi.org/10.1016/j.ijmecsci.2018.06.018
  92. Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory vol.6, pp.3, 2018, https://doi.org/10.12989/anr.2018.6.3.279
  93. Buckling analysis of nanoplate-type temperature-dependent heterogeneous materials vol.7, pp.1, 2013, https://doi.org/10.12989/anr.2019.7.1.051
  94. On static stability of electro-magnetically affected smart magneto-electro-elastic nanoplates vol.7, pp.1, 2013, https://doi.org/10.12989/anr.2019.7.1.063
  95. Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT vol.7, pp.2, 2013, https://doi.org/10.12989/anr.2019.7.2.089
  96. A New Hyperbolic Two-Unknown Beam Model for Bending and Buckling Analysis of a Nonlocal Strain Gradient Nanobeams vol.57, pp.None, 2013, https://doi.org/10.4028/www.scientific.net/jnanor.57.175
  97. Finite Element Model of Functionally Graded Nanobeam for Free Vibration Analysis vol.11, pp.2, 2019, https://doi.org/10.24107/ijeas.569798
  98. Thermal buckling analysis of embedded graphene-oxide powder-reinforced nanocomposite plates vol.7, pp.5, 2013, https://doi.org/10.12989/anr.2019.7.5.293
  99. Nonlocal nonlinear analysis of nano-graphene sheets under compression using semi-Galerkin technique vol.7, pp.5, 2013, https://doi.org/10.12989/anr.2019.7.5.311
  100. Frequency response analysis of curved embedded magneto-electro-viscoelastic functionally graded nanobeams vol.7, pp.6, 2019, https://doi.org/10.12989/anr.2019.7.6.391
  101. Cut out effect on nonlinear post-buckling behavior of FG-CNTRC micro plate subjected to magnetic field via FSDT vol.7, pp.6, 2013, https://doi.org/10.12989/anr.2019.7.6.405
  102. An analytical study of vibration in functionally graded piezoelectric nanoplates: nonlocal strain gradient theory vol.40, pp.12, 2013, https://doi.org/10.1007/s10483-019-2545-8
  103. Exact solution for dynamic response of size dependent torsional vibration of CNT subjected to linear and harmonic loadings vol.8, pp.1, 2013, https://doi.org/10.12989/anr.2020.8.1.025
  104. Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions vol.8, pp.2, 2013, https://doi.org/10.12989/anr.2020.8.2.169
  105. On the nonlocality of bilateral vibrations of single-layered membranes from vertically aligned double-walled carbon nanotubes vol.95, pp.3, 2013, https://doi.org/10.1088/1402-4896/ab43b6
  106. Nonlinear dynamical responses of forced carbon nanotube-based mass sensors under the influence of thermal loadings vol.100, pp.2, 2020, https://doi.org/10.1007/s11071-020-05565-y
  107. Investigation of microstructure and surface effects on vibrational characteristics of nanobeams based on nonlocal couple stress theory vol.8, pp.3, 2013, https://doi.org/10.12989/anr.2020.8.3.191
  108. Scale-dependent thermal vibration analysis of FG beams having porosities based on DQM vol.8, pp.4, 2013, https://doi.org/10.12989/anr.2020.8.4.283
  109. Theoretical impact of Kelvin's theory for vibration of double walled carbon nanotubes vol.8, pp.4, 2013, https://doi.org/10.12989/anr.2020.8.4.307
  110. Static stability analysis of smart nonlocal thermo-piezo-magnetic plates via a quasi-3D formulation vol.26, pp.1, 2020, https://doi.org/10.12989/sss.2020.26.1.077
  111. Frequency, bending and buckling loads of nanobeams with different cross sections vol.9, pp.2, 2013, https://doi.org/10.12989/anr.2020.9.2.091
  112. Nonlinear buckling and free vibration of curved CNTs by doublet mechanics vol.26, pp.2, 2013, https://doi.org/10.12989/sss.2020.26.2.213
  113. Wave dispersion characteristics of fluid-conveying magneto-electro-elastic nanotubes vol.36, pp.4, 2013, https://doi.org/10.1007/s00366-019-00790-5
  114. Frequency and thermal buckling information of laminated composite doubly curved open nanoshell vol.10, pp.1, 2013, https://doi.org/10.12989/anr.2021.10.1.001
  115. Post-buckling analysis of imperfect nonlocal piezoelectric beams under magnetic field and thermal loading vol.78, pp.1, 2013, https://doi.org/10.12989/sem.2021.78.1.015
  116. Computer simulation for stability performance of sandwich annular system via adaptive tuned deep learning neural network optimization vol.11, pp.1, 2021, https://doi.org/10.12989/anr.2021.11.1.083
  117. Investigating dynamic response of nonlocal functionally graded porous piezoelectric plates in thermal environment vol.40, pp.2, 2021, https://doi.org/10.12989/scs.2021.40.2.243
  118. Free vibration analysis of carbon nanotube RC nanobeams with variational approaches vol.11, pp.2, 2021, https://doi.org/10.12989/anr.2021.11.2.157
  119. Computer modeling for frequency performance of viscoelastic magneto-electro-elastic annular micro/nanosystem via adaptive tuned deep learning neural network optimization vol.11, pp.2, 2013, https://doi.org/10.12989/anr.2021.11.2.203