References
- Abdelrahman, A.A., Esen, I., Daikh, A.A. and Eltaher, M.A. (2021), "Dynamic analysis of FG nanobeam reinforced by carbon nanotubes and resting on elastic foundation under moving load", Mech. Based Des. Struct., 1-24. https://doi.org/10.1080/15397734.2021.1999263
- Alazwari, M.A., Daikh, A.A., Houari, M.S.A., Tounsi, A. and Eltaher, M.A. (2021), "On static buckling of multilayered carbon nanotubes reinforced composite nanobeams supported on non-linear elastic foundations", Steel Compos. Struct., 40(3), 389-404. https://doi.org/10.12989/scs.2021.40.3.389
- Alizade Hamidi, B., Hosseini, S.A.H., Hassannejad, R. and Khosravi, F. (2019), "An exact solution on gold microbeam with thermoelastic damping via generalized Green-Naghdi and modified couple stress theories", J. Therm. Stress., 43(2), 157-174. https://doi.org/1010.1080/01495739.2019.1666694
- Alizadeh-Hamidi, B., Hassannejad, R. and Omidi, Y. (2021), "Size-dependent thermo-mechanical vibration of lipid supramolecular nano-tubules via nonlocal strain gradient Timoshenko beam theory", Comput. Biol. Med., 134, 104475. https://doi.org/10.1016/j.compbiomed.2021.104475
- Alizadeh Hamidi, B., Khosravi, F., Hosseini, S.A. and Hassannejad, R. (2020), "Closed form solution for dynamic analysis of rectangular nanorod based on nonlocal strain gradient", Waves Random Complex Med., 1-17. https://doi.org/10.1080/17455030.2020.1843737
- Babaei, H. (2022), "Free vibration and snap-through instability of FG-CNTRC shallow arches supported on nonlinear elastic foundation", Appl. Math. Comput., 413, 126606. https://doi.org/10.1016/j.amc.2021.126606
- Babaei, H., Kiani, Y. and Eslami, M.R. (2021a), "Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique", Acta Mechanica, 232(10), 3897-3915. https://doi.org/10.1007/s00707-021-03027-z
- Babaei, H., Kiani, Y. and Reza Eslami, M. (2021b), "Perturbation method for thermal post-buckling analysis of shear deformable FG-CNTRC beams with different boundary conditions", Int. J. Struct. Stabil. Dyn., 21(13), 2150175. https://doi.org/10.1142/S0219455421501753
- Behrouz, S.J., Rahmani, O. and Hosseini, S.A. (2019), "On nonlinear forced vibration of nano cantilever-based biosensor via couple stress theory", Mech. Syst. Signal Pr., 128, 19-36. https://doi.org/10.1016/j.ymssp.2019.03.020
- Bensattalah, T., Daouadji, T., Zidour, M., Tounsi, A. and Bedia, E. (2016), "Investigation of thermal and chirality effects on vibration of single-walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories", Mech. Compos. Mater., 52(4), 555-568. https://doi.org/10.1007/s11029-016-9606-z
- Bensattalah, T., Hamidi, A., Bouakkaz, K., Zidour, M. and Daouadji, T.H. (2020), "Critical buckling load of triple-walled carbon nanotube based on nonlocal elasticity theory", J. Nano Res., 62, 108-119. https://doi.org/10.4028/www.scientific.net/JNanoR.62.108
- Bensattalah, T., Zidour, M., Daouadji, T.H. and Bouakaz, K. (2019), "Theoretical analysis of chirality and scale effects on critical buckling load of zigzag triple walled carbon nanotubes under axial compression embedded in polymeric matrix", Struct. Eng. Mech., 70(3), 269-277. https://doi.org/10.12989/sem.2019.70.3.269
- Boulal, A., Bensattalah, T., Karas, A., Zidour, M., Heireche, H. and Bedia, E.A. (2020), "Buckling of carbon nanotube reinforced composite plates supported by Kerr foundation using Hamilton's energy principle", Struct. Eng. Mech., 73(2), 209-223. https://doi.org/10.12989/sem.2020.73.2.209
- Chalak, H., Zenkour, A. and Garg, A. (2021), "Free vibration and modal stress analysis of FG-CNTRC beams under hygrothermal conditions using zigzag theory", Mech. Based Des. Struct., 1-22. https://doi.org/10.1080/15397734.2021.1977659
- Civalek, O., Akbas, S.D., Akgoz, B. and Dastjerdi, S. (2021a), "Forced vibration analysis of composite beams reinforced by carbon nanotubes", Nanomaterials. 11(3), 571. https://doi.org/10.3390/nano11030571
- Civalek, O., Dastjerdi, S., Akbas, S.D. and Akgoz, B. (2021b), "Vibration analysis of carbon nanotube-reinforced composite microbeams", Math. Meth. Appl. Sci., Special Issue Paper. https://doi.org/10.1002/mma.7069
- Ebrahimi, F., Salari, E. and Hosseini, S. (2015), "In-plane thermal loading effects on vibrational characteristics of functionally graded nanobeams", Meccanica, 1-27. https://doi.org/10.1007/s11012-015-0248-3
- Ebrahimi, F., Farazmandnia, N., Kokaba, M.R. and Mahesh, V. (2021a), "Vibration analysis of porous magneto-electro-elastically actuated carbon nanotube-reinforced composite sandwich plate based on a refined plate theory", Eng. Comput., 37(2), 921-936.https://doi.org/10.1007/s00366-019-00864-4
- Ebrahimi, F., Seyfi, A. and Dabbagh, A. (2021b), "The effects of thermal loadings on wave propagation analysis of multi-scale hybrid composite beams", Wave Random Complex Med., 1-24. https://doi.org/10.1080/17455030.2021.1956015
- Ebrahimi, F., Seyfi, A. and Teimouri, A. (2021c), "Torsional vibration analysis of scale-dependent non-circular graphene oxide powder-strengthened nanocomposite nanorods", Eng. Comput., 1-12. https://doi.org/10.1007/s00366-021-01528-y
- Eghbali, M., Hosseini, S.A. and Rahmani, O. (2021), "Free vibration of axially functionally graded nanobeam with an attached mass based on nonlocal strain gradient theory via new ADM numerical method", Amirkabir J. Mech. Eng., 53(2), 8-8. https://doi.org/10.22060/mej.2020.17013.6495
- Gafour, Y., Hamidi, A., Benahmed, A., Zidour, M. and Bensattalah, T. (2020), "Porosity-dependent free vibration analysis of FG nanobeam using non-local shear deformation and energy principle", Adv. Nano Res., 8(1), 37-47. https://doi.org/10.12989/anr.2020.8.1.037
- Garg, A., Chalak, H., Zenkour, A., Belarbi, M.O. and Sahoo, R. (2022), "Bending and free vibration analysis of symmetric and unsymmetric functionally graded CNT reinforced sandwich beams containing softcore", Thin Wall. Struct., 170, 108626. https://doi.org/10.1016/j.tws.2021.108626
- Ghadiri, M., Hosseini, S., Karami, M. and Namvar, M. (2018), "In-plane and out of plane free vibration of U-shaped AFM probes based on the nonlocal elasticity", J. Solid Mech., 10(2), 285-299.
- Ghadiri Rad, M.H., Shahabian, F. and Hosseini, S.M. (2021), "Two-dimensional geometrically nonlinear hyperelastic wave propagation analysis in FG thick hollow cylinders using MLPG method", AUT J. Civil Eng., 5(3), 465-480. https://doi.org/10.22060/ajce.2021.19911.5752
- Hamidi, A., Zidour, M., Bouakkaz, K. and Bensattalah, T. (2018), "Thermal and small-scale effects on vibration of embedded armchair single-walled carbon nanotubes", J. Nano Res., 51, 24-38. https://doi.org/10.4028/www.scientific.net/JNanoR.51.24
- Hamidi, B.A., Hosseini, S.A. and Hayati, H. (2020), "Forced torsional vibration of nanobeam via nonlocal strain gradient theory and surface energy effects under moving harmonic torque", Wave Random Complex Med., 1-16. https://doi.org/10.1080/17455030.2020.1772523
- Hayati, H., Hosseini, S.A. and Rahmani, O. (2017), "Coupled twist-bending static and dynamic behavior of a curved single-walled carbon nanotube based on nonlocal theory", Microsyst. Technol., 23(7), 2393-2401. https://doi.org/10.1007/s00542-016-2933-0
- Heidari, Y., Arefi, M. and Irani-Rahaghi, M. (2021), "Free vibration analysis of cylindrical micro/nano-shell reinforced with CNTRC patches", Int. J. Appl. Mech., 2150040. https://doi.org/10.1142/S175882512150040X
- Hosseini, S. and Rahmani, O. (2016), "Surface effects on buckling of double nanobeam system based on nonlocal Timoshenko model", Int. J. Struct. Stabil. Dyn., 16(10), 1550077. https://doi.org/10.1142/S0219455415500777
- Hosseini, S. and Rahmani, O. (2017), "Exact solution for axial and transverse dynamic response of functionally graded nanobeam under moving constant load based on nonlocal elasticity theory", Meccanica, 52(6), 1441-1457. https://doi.org/10.1007/s11012-016-0491-2
- Hosseini, S., Moghaddam, M. and Rahmani, O. (2020), "Exact solution for axial vibration of the power, exponential and sigmoid FG nonlocal nanobeam", Adv. Aircr. Spacecr. Sci., 7(6), 517-536. https://doi.org/10.12989/aas.2020.7.6.517
- Kaiser, J.P., Roesslein, M., Buerki-Thurnherr, T. and Wick, P. (2011), "Carbon nanotubes-curse or blessing", Curr. Med. Chem., 18(14), 2115-2128. https://doi.org/10.2174/092986711795656171
- Khosravi, F. and Hosseini, S.A. (2020), "On the viscoelastic carbon nanotube mass nanosensor using torsional forced vibration and Eringen's nonlocal model", Mech. Based Des. Struct., 1-24. https://doi.org/10.1080/15397734.2020.1744001
- Khosravi, F., Hosseini, S.A. and Hamidi, B.A. (2020a), "Torsional Vibration of nanowire with equilateral triangle cross section based on nonlocal strain gradient for various boundary conditions: comparison with hollow elliptical cross section", Eur. Phys. J. Plus, 135(3), 1-20. https://doi.org/10.1140/epjp/s13360-020-00312-z
- Khosravi, F., Simyari, M., Hosseini, S. and Ghadiri, M. (2020b), "An analytical solution on size dependent longitudinal dynamic response of SWCNT under axial moving harmonic load", J. Solid Mech., 12(3), 586-599. https://doi.org/10.22034/jsm.2019.1875642.1476
- Madenci, E. (2021), "Free vibration analysis of carbon nanotube RC nanobeams with variational approaches", Adv. Nano Res., 11(2), 157-171.https://doi.org/10.12989/anr.2021.11.2.157
- Mantari, J., Bonilla, E. and Soares, C.G. (2014), "A new tangential-exponential higher order shear deformation theory for advanced composite plates", Compos. Part B Eng., 60, 319-328. https://doi.org/10.1016/j.compositesb.2013.12.001
- Mohammadjani, R. and Shariyat, M. (2020), "Nonlinear thermomechanical vibration mitigation analysis in rotating fractional-order viscoelastic bidirectional FG annular disks under nonuniform shocks", J. Therm. Stress., 43(7), 829-873. https://doi.org/10.1080/01495739.2020.1748555
- Nielsen, L.E. (1974), "The thermal and electrical conductivity of two-phase systems", Ind. Eng. Chem. Fund., 13(1), 17-20. https://doi.org/10.1021/i160049a004
- Serajzadeh, F. and Malekzadeh, P. (2021), "Two-dimensional low-velocity impact analysis of curved sandwich beams with FG-CNTRC face sheets and porous core", Mech. Based Des. Struct. Mach., 1-22. https://doi.org/10.1080/15397734.2021.2013879
- Shariyat, M. and Abedi, S. (2022), "An accurate hyper-elasticity-based plate theory and nonlinear energy-based micromechanics for impact and shock analyses of compliant particle-reinforced FG hyperelastic plates", ZAMM J. Appl. Math. Mech., e202100099. https://doi.org/10.1002/zamm.202100099
- Shen, H.S. and Xiang, Y. (2013), "Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments", Eng. Struct., 56, 698-708. https://doi.org/10.1016/j.engstruct.2013.06.002
- Simsek, M. and Reddy, J. (2013), "Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory", Int. J. Eng. Sci., 64, 37-53. https://doi.org/10.1016/j.ijengsci.2012.12.002
- Tayeb, T.S., Zidour, M., Bensattalah, T., Heireche, H., Benahmed, A. and Bedia, E. (2020), "Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle", Advances in nano research. 8(2), 135-148.https://doi.org/10.12989/anr.2020.8.2.135
- Tounsi, A., Benguediab, S., Semmah, A. and Zidour, M. (2013), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., 1(1), 1. https://doi.org/10.12989/anr.2013.1.1.001
- Van Quyen, N., Van Thanh, N., Quan, T.Q. and Duc, N.D. (2021), "Nonlinear forced vibration of sandwich cylindrical panel with negative Poisson's ratio auxetic honeycombs core and CNTRC face sheets", Thin Wall. Struct., 162, 107571. https://doi.org/10.1016/j.tws.2021.107571
- Wattanasakulpong, N. and Ungbhakorn, V. (2013), "Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation", Comput. Mater. Sci., 71, 201-208. https://doi.org/10.1016/j.commatsci.2013.01.028
- Xu, J., Yang, Z., Yang, J. and Li, Y. (2021a), "Free vibration analysis of rotating FG-CNT reinforced composite beams in thermal environments with general boundary conditions", Aerosp. Sci. Technol., 118, 107030. https://doi.org/10.1016/j.ast.2021.107030.
- Xu, X., Zhang, C., Khan, A., Sebaey, T.A. and Alkhedher, M. (2021b), "Free vibrations of rotating CNTRC beams in thermal environment", Case Stud. Therm. Eng., 28, 101355. https://doi.org/10.1016/j.csite.2021.101355
- Zerrouki, R., Karas, A. and Zidour, M. (2020), "Critical buckling analyses of nonlinear FG-CNT reinforced nano-composite beam", Adv. Nano Res., 9(3), 211-220. https://doi.org/10.12989/anr.2020.9.3.211
- Zhang, M. and Li, J. (2009), "Carbon nanotube in different shapes", Mater. Today, 12(6), 12-18. https://doi.org/10.1016/S1369-7021(09)70176-2
- Zheng, J., Zhang, C., Musharavati, F., Khan, A., Sebaey, T.A. and Eyvazian, A. (2021), "Forced vibration characteristics of embedded graphene oxide powder reinforced metal foam nanocomposite plate in thermal environment", Case Stud. Therm. Eng., 101167. https://doi.org/10.1016/j.csite.2021.101167