[1]
M. A., Eltaher, & M. A., Agwa, Analysis of size-dependent mechanical properties of CNTs mass sensor using energy equivalent model,, Sensors and Actuators A: Physical, 246, (2016), pp.9-17.
DOI: 10.1016/j.sna.2016.05.009
Google Scholar
[2]
M. A., Eltaher, F. F., Mahmoud, A. E., Assie, & E. I. Meletis, Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams,, Applied Mathematics and Computation, 224, (2013), 760-774.
DOI: 10.1016/j.amc.2013.09.002
Google Scholar
[3]
M. J., Treacy, T. W., Ebbesen, & J. M., Gibson, Exceptionally high Young's modulus observed for individual carbon nanotubes,, Nature, 381(6584), (1996), 678.
DOI: 10.1038/381678a0
Google Scholar
[4]
A., Krishnan, E., Dujardin, T. W., Ebbesen, P. N., Yianilos, & M. M. J. Treacy, Young's modulus of single-walled nanotubes,, Physical review B, 58(20), (1998), 14013.
DOI: 10.1103/physrevb.58.14013
Google Scholar
[5]
J. P., Salvetat, J. M., Bonard, N. H., Thomson, A. J., Kulik, L. Forro, W., Benoit, , & L., Zuppiroli, Mechanical properties of carbon nanotubes,, Applied Physics A, 69(3), (1999), pp.255-260.
DOI: 10.1007/s003390050999
Google Scholar
[6]
J. C., Charlier, Defects in carbon nanotubes,. Accounts of chemical research, 35(12), (2002), pp.1063-1069.
Google Scholar
[7]
S. L., Mielke, D., Troya, S., Zhang, J. L., Li, S., Xiao, R., Car, ... & T., Belytschko, The role of vacancy defects and holes in the fracture of carbon nanotubes,, Chemical Physics Letters, 390(4-6), (2004), pp.413-420.
DOI: 10.1016/j.cplett.2004.04.054
Google Scholar
[8]
Y., Ma, P. O., Lehtinen, A. S., Foster, & R. M. Nieminen, Magnetic properties of vacancies in graphene and single-walled carbon nanotubes,, New Journal of Physics, 6(1), (2004), 68.
DOI: 10.1088/1367-2630/6/1/068
Google Scholar
[9]
L. V., Liu, W. Q., Tian, & Y. A., Wang, Ozonization at the vacancy defect site of the single-walled carbon nanotube,, The Journal of Physical Chemistry B, 110(26), (2006), pp.13037-13044.
DOI: 10.1021/jp055999x
Google Scholar
[10]
Q., Wang, & V. K., Varadan, Wave characteristics of carbon nanotubes,, International Journal of Solids and Structures, 43(2), (2006), pp.254-265.
DOI: 10.1016/j.ijsolstr.2005.02.047
Google Scholar
[11]
S. O., Gajbhiye, & S. P. Singh, Vibration characteristics of open-and capped-end single-walled carbon nanotubes using multi-scale analysis technique incorporating Tersoff–Brenner potential,, Acta Mechanica, 226(11), (2015), pp.3565-3586.
DOI: 10.1007/s00707-015-1390-7
Google Scholar
[12]
A., Zemri, M. S. A., Houari, A. A., Bousahla, & A.Tounsi, A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory,, Structural Engineering and Mechanics, 54(4), (2015), pp.693-710.
DOI: 10.12989/sem.2015.54.4.693
Google Scholar
[13]
F. L., Chaht, A., Kaci, M. S. A., Houari, Tounsi, O. A., Bég, & S. R. Mahmoud, Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect,, Steel and Composite Structures, 18(2), (2015), pp.425-442.
DOI: 10.12989/scs.2015.18.2.425
Google Scholar
[14]
I., Belkorissat, M. S. A., Houari, A., Tounsi, E. A., Bedia, & S. R. Mahmoud, On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model,, Steel Composite Structure, 18(4), (2015), pp.1063-1081.
DOI: 10.12989/scs.2015.18.4.1063
Google Scholar
[15]
M. A., Eltaher, S., El-Borgi, & J. N. Reddy, Nonlinear analysis of size-dependent and material-dependent nonlocal CNTs,, Composite Structures, 153, (2016), 902-913.
DOI: 10.1016/j.compstruct.2016.07.013
Google Scholar
[16]
M. A., Agwa, & M. A., Eltaher, Vibration of a carbyne nanomechanical mass sensor with surface effect,, Applied Physics A, 122(4), (2016), 335.
DOI: 10.1007/s00339-016-9934-9
Google Scholar
[17]
M. A., Eltaher, M., Agwa, & A., Kabeel, Vibration Analysis of Material Size-Dependent CNTs Using Energy Equivalent Model,, Journal of Applied and Computational Mechanics, 4(2), (2018), 75-86.
Google Scholar
[18]
F., Bounouara, K. H., Benrahou, I., Belkorissat, & A. Tounsi, A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation,, Steel and Composite Structures, 20(2), (2016), pp.227-249.
DOI: 10.12989/scs.2016.20.2.227
Google Scholar
[19]
M., Ahouel, M. S. A., Houari, E. A., Bedia, & A. Tounsi, Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept,, Steel and Composite Structures, 20(5), (2016), pp.963-981.
DOI: 10.12989/scs.2016.20.5.963
Google Scholar
[20]
B., Kadari, A., Bessaim, A., Tounsi, H., Heireche, A. A., Bousahla, & , M. S. A., Houari Buckling analysis of orthotropic nanoscale plates resting on elastic foundations,. In Journal of Nano Research, 55, (2018), pp.42-56.
DOI: 10.4028/www.scientific.net/jnanor.55.42
Google Scholar
[21]
R., Hamza-Cherif, M., Meradjah, M., Zidour, A., Tounsi, S., Belmahi, & Bensattalah, T., Vibration analysis of nano beam using differential transform method including thermal effect,, In Journal of Nano Research 54, (2018), pp.1-14.
DOI: 10.4028/www.scientific.net/jnanor.54.1
Google Scholar
[22]
A. H., Esbati, & S., Irani, Probabilistic mechanical properties and reliability of carbon nanotubes,, Archives of Civil and Mechanical Engineering, 18(2), (2018), 532-545.
DOI: 10.1016/j.acme.2017.05.001
Google Scholar
[23]
A., Shahabodini, R., Ansari, & M., Darvizeh, Atomistic-continuum modeling of vibrational behavior of carbon nanotubes using the variational differential quadrature method,, Composite Structures, 185, (2018), pp.728-747.
DOI: 10.1016/j.compstruct.2017.11.028
Google Scholar
[24]
H., Bellifa, K. H., Benrahou, A. A., Bousahla, A., Tounsi, & S. R. Mahmoud, A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams,, Structural Engineering and Mechanics, 62(6), (2017), pp.695-702.
Google Scholar
[25]
K., Bouafia, A., Kaci, M. S. A., Houari, A., Benzair, & A. Tounsi, A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams,, Smart Structures and Systems, 19(2), (2017), pp.115-126.
DOI: 10.12989/sss.2017.19.2.115
Google Scholar
[26]
A., Mouffoki, E. A., Bedia, M. S. A., Houari, A., Tounsi, & S. R. Mahmoud, Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory,, Smart Structures and Systems, 20(3), (2017), 369-383.
Google Scholar
[27]
H., Khetir, M. B., Bouiadjra, M. S. A., Houari, A., Tounsi, & S. R. Mahmoud, A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates,, Structural Engineering and Mechanics, 64(4), (2017), pp.391-402.
Google Scholar
[28]
A., Besseghier, M. S. A., Houari, A., Tounsi, & S. R. Mahmoud, Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory,, Smart Structures and Systems, 19(6), (2017), pp.601-614.
Google Scholar
[29]
B., Karami, M., Janghorban, & A. Tounsi, Effects of triaxial magnetic field on the anisotropic nanoplates,, Steel and Composite Structures, 25(3), (2017), pp.361-374.
Google Scholar
[30]
B., Karami, M., Janghorban, & A. Tounsi, Variational approach for wave dispersion in anisotropic doubly-curved nanoshells based on a new nonlocal strain gradient higher order shell theory,, Thin-Walled Structures, 129, (2018), pp.251-264.
DOI: 10.1016/j.tws.2018.02.025
Google Scholar
[31]
B., Karami, M., Janghorban, & A. Tounsi,, Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles,, Steel and Composite Structures, 27(2), (2018), pp.201-216.
Google Scholar
[32]
J., Vila, J., Fernández-Sáez, & R., Zaera, Reproducing the nonlinear dynamic behavior of a structured beam with a generalized continuum model,, Journal of Sound and Vibration, 420, (2018), pp.296-314.
DOI: 10.1016/j.jsv.2018.01.040
Google Scholar
[33]
A., Bouadi, A. A., Bousahla, M. S. A., Houari, H., Heireche, & A. Tounsi, A new nonlocal HSDT for analysis of stability of single layer graphene sheet,, Advances in Nano Research, 6(2), (2018), pp.147-162.
Google Scholar
[34]
A., Besseghier, H., Heireche, Bousahla, A. A., Tounsi, A., & Benzair, A., Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix,, Advances in Nano Research, 3(1), (2015), p.029.
DOI: 10.12989/anr.2015.3.1.029
Google Scholar
[35]
Y., Mokhtar, H., Heireche, A. A., Bousahla, M. S. A., Houari, A., Tounsi, & S. R. Mahmoud, A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory,, Smart Structures and Systems, 21(4), (2018), pp.397-405.
Google Scholar
[36]
M., Yazid, H., Heireche, A., Tounsi, A. A., Bousahla, & M. S. A. Houari, A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium,, Smart Structures and Systems, 21(1), (2018), pp.15-25.
DOI: 10.2174/2405461501666161130121643
Google Scholar
[37]
B., Bakhadda, M. B., Bouiadjra, F., Bourada, A. A., Bousahla, A., Tounsi, & S. R., Mahmoud, Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation,, Wind and Structures, 27(5), (2018), pp.311-324.
Google Scholar
[38]
M.A. Eltaher, N. Mohamed, S. Mohamed and L.F. Seddek Postbuckling of Curved Carbon Nanotubes Using Energy Equivalent Model,, Journal of Nano Research, (accepted).
DOI: 10.4028/www.scientific.net/jnanor.57.136
Google Scholar
[39]
M. A. Eltaher, T.A. Almalki, K. I.E. Ahmed, and K. H. Almitani, Characterization and Behaviors of Single Walled Carbon Nanotube by Equivalent-Continuum Mechanics Approach,, Advances in Nano Research, (Accepted).
Google Scholar
[40]
A. K., Rappé, C. J., Casewit, K. S., Colwell, W. A., Goddard Iii, & W. M., Skiff, UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations, Journal of the American chemical society, 114(25), (1992), pp.10024-10035.
DOI: 10.1021/ja00051a040
Google Scholar
[41]
Y., Wu, X., Zhang, A. Y. T., Leung, & W., Zhong, An energy-equivalent model on studying the mechanical properties of single-walled carbon nanotubes,, Thin-Walled Structures, 44(6), (2006), pp.667-676.
DOI: 10.1016/j.tws.2006.05.003
Google Scholar
[42]
M. M., Shokrieh, & R. Rafiee, Prediction of Young's modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach,,Materials & Design, 31(2), (2010), pp.790-795.
DOI: 10.1016/j.matdes.2009.07.058
Google Scholar