과제정보
The authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number ISP23-49.
참고문헌
- Abdelrahman, A.A., Esen, I., Ozarpa, C., Shaltout, R., Eltaher, M.A. and Assie, A.E. (2021a), "Dynamics of perforated higher order nanobeams subject to moving load using the nonlocal strain gradient theory", Smart Struct. Syst., 28(4), 515-533. https://doi.org/10.12989/sss.2021.28.4.515
- Abdelrahman, A.A., Esen, I., Daikh, A.A. and Eltaher, M.A. (2021b), "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
- Abdelrahman, A., Shanab, R.A., Esen, I. and Eltaher, M.A. (2022), "Effect of moving load on dynamics of nanoscale Timoshenko CNTs embedded in elastic media based on doublet mechanics theory", Steel Compos. Struct., 44(2), 255. https://doi.org/10.12989/scs.2022.44.2.255
- Alazwari, M.A., Daikh, A.A. and Eltaher, M.A. (2022), "Novel quasi 3D theory for mechanical responses of FG-CNTs reinforced composite nanoplates", Adv. Nano Res., 12(2), 117. https://doi.org/10.12989/anr.2022.12.2.117
- Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Modell., 35(1), 412-425. https://doi.org/10.1016/j.apm.2010.07.006
- Ansari, R., Shahabodini, A. and Shojaei, M.F. (2016), "Vibrational analysis of carbon nanotube-reinforced composite quadrilateral plates subjected to thermal environments using a weak formulation of elasticity", Compos. Struct., 139, 167-187. https://doi.org/10.1016/j.compstruct.2015.11.079
- Assie, A., Akbas, S.D., Bashiri, A.H., Abdelrahman, A.A. and Eltaher, M.A. (2021), "Vibration response of perforated thick beam under moving load", Eur. Phys. J. Plus, 136(3), 1-15. https://doi.org/10.1140/epjp/s13360-021-01224-2
- Barati, M.R. (2017), "Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities", Adv. Nano Res., 5(4), 393. https://doi.org/10.12989/anr.2017.5.4.393
- Bouafia, H., Chikh, A., Bousahla, A. A., Bourada, F., Heireche, H., Tounsi, A., Benrahou, K.H., Tounsi, A., Al-Zahrani, M.M. and Hussain, M. (2021), "Natural frequencies of FGM nanoplates embedded in an elastic medium", Adv. Nano Res., 11(3), 239. https://doi.org/10.12989/anr.2021.11.3.239
- Daikh, A.A., Belarbi, M.O., Salami, S.J., Ladmek, M., Belkacem, A., Houari, M.S.A., Ahmed, H.M. and Eltaher, M.A. (2023), "A three-unknown refined shear beam model for the bending of randomly oriented FG-CNT/fiber-reinforced composite laminated beams rested on a new variable elastic foundation", Acta Mechanica, 234(10), 5171-5186. https://doi.org/10.1007/s00707-023-03657-5
- Ding, H.X. and She, G.L. (2021), "A higher-order beam model for the snap-buckling analysis of FG pipes conveying fluid", Struct. Eng. Mech., 80(1), 63-72. http://doi.org/10.12989/sem.2021.80.1.063.
- Drai, A., Daikh, A.A., Belarbi, M.O., Houari, M.S.A., Aour, B., Hamdi, A. and Eltaher, M.A. (2023), "Bending of axially functionally graded carbon nanotubes reinforced composite nanobeams", Adv. Nano Res., 14(3), 211. https://doi.org/10.12989/anr.2023.14.3.211
- Eltaher, M.A., Abdelrahman, A.A. and Esen, I. (2021), "Dynamic analysis of nanoscale Timoshenko CNTs based on doublet mechanics under moving load", Eur. Phys. J. Plus, 136(7), 1-21. https://doi.org/10.1140/epjp/s13360-021-01682-8
- Esen, I., Abdelrahman, A.A. and Eltaher, M.A. (2020), "Dynamics analysis of timoshenko perforated microbeams under moving loads", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-020-01212-7
- Esen, I., Daikh, A.A. and Eltaher, M.A. (2021a), "Dynamic response of nonlocal strain gradient FG nanobeam reinforced by carbon nanotubes under moving point load", Eur. Phys. J. Plus, 136(4), 1-22. https://doi.org/10.1140/epjp/s13360-021-01419-7
- Esen, I., Abdelrahman, A.A. and Eltaher, M.A. (2021b), "On vibration of sigmoid/symmetric functionally graded nonlocal strain gradient nanobeams under moving load", Int. J. Mech. Mater. Des., 1-22. https://doi.org/10.1007/s10999-021-09555-9
- Farahmand, H. (2021), "A variational approach for analytical buckling solution of moderately thick microplate using strain gradient theory incorporating two-variable refined plate theory: a benchmark study", J. Brazil. Soc. Mech. Sci. Eng., 43(3), 1-11. https://doi.org/10.1007/s40430-020-02766-9
- Farzam, A. and Hassani, B. (2018), "Thermal and mechanical buckling analysis of FG carbon nanotube reinforced composite plates using modified couple stress theory and isogeometric approach", Compos. Struct., 206, 774-790. https://doi.org/10.1016/j.compstruct.2018.08.030
- Ghorbanpour Arani, A., Rousta Navi, B. and Mohammadimehr, M. (2016), "Surface stress and agglomeration effects on nonlocal biaxial buckling polymeric nanocomposite plate reinforced by CNT using various approaches", Adv. Compos. Mater., 25(5), 423-441. https://doi.org/10.1080/09243046.2015.1052189
- Griebel, M. and Hamaekers, J. (2004), "Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites", Comput. Meth. Appl. Mech. Eng., 193(17-20), 1773-1788. https://doi.org/https://doi.org/10.1016/j.cma.2003.12.025
- Han, Y. and Elliott, J. (2007), "Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Comput. Mater. Sci., 39(2), 315-323. https://doi.org/10.1016/j.commatsci.2006.06.011
- Karami, B. and Karami, S. (2019), "Buckling analysis of nanoplate-type temperature-dependent heterogeneous materials", Adv. Nano Res., 7(1), 51. https://doi.org/10.12989/anr.2019.7.1.051
- Ke, L.L., Yang, J. and Kitipornchai, S. (2010), "Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams", Compos. Struct., 92(3), 676-683. https://doi.org/https://doi.org/10.1016/j.compstruct.2009.09.024
- Kolahdouzan, F., Mosayyebi, M., Ghasemi, F.A., Kolahchi, R. and Panah, S.R.M. (2020), "Free vibration and buckling analysis of elastically restrained FG-CNTRC sandwich annular nanoplates", Adv. Nano Res., 9(4), 237-250. https://doi.org/10.12989/anr.2020.9.4.237
- Lei, Z. X., Liew, K. M. and Yu, J. L. (2013), "Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method", Compos. Struct., 98, 160-168. https://doi.org/10.1016/j.compstruct.2012.11.006.
- Liew, K.M., Lei, Z.X., Yu, J.L. and Zhang, L. (2014), "Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach", Comput. Meth. Appl. Mech. Eng., 268, 1-17. https://doi.org/10.1016/j.cma.2013.09.001
- Lim, C.W., Zhang, G. and Reddy, J. (2015), "A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation", J. Mech. Phys. Solids, 78, 298-313. https://doi.org/10.1016/j.jmps.2015.02.001
- Lin, F. and Xiang, Y. (2014), "Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories", Appl. Math. Modell., 38(15-16), 3741-3754. https://doi.org/10.1016/j.apm.2014.02.008
- Liu, H., Zhang, Q., Yang, X. and Ma, J. (2021), "Size-dependent vibration of laminated composite nanoplate with piezo-magnetic face sheets", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01285-y
- Lu, L., She, G.L., and Guo, X. (2021), "Size-dependent post-buckling analysis of graphene reinforced composite microtubes with geometrical imperfection", Int. J. Mech. Sci., 199, 106428. https://doi.org/10.1016/j.ijmecsci.2021.106428.
- Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nature, 354(6348), 56-58. https://doi.org/10.1038/354056a0
- Mahesh, V. and Harursampath, D. (2020), "Nonlinear deflection analysis of CNT/magneto-electro-elastic smart shells under multi-physics loading", Mech. Adv. Mater. Struct., 1-25. https://doi.org/10.1080/15376494.2020.1805059
- Mirzaei, M. and Kiani, Y. (2015), "Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells", Aerosp. Sci. Technol., 47, 42-53. https://doi.org/10.1016/j.ast.2015.09.011
- Mirzaei, M. and Kiani, Y. (2016), "Thermal buckling of temperature dependent FG-CNT reinforced composite plates", Meccanica, 51(9), 2185-2201. https://doi.org/10.1007/s11012-015-0348-0
- Mohammadimehr, M., Arshid, E., Alhosseini, S.M.A.R., Amir, S. and Arani, M.R.G. (2019), "Free vibration analysis of thick cylindrical MEE composite shells reinforced CNTs with temperature-dependent properties resting on viscoelastic foundation", Struct. Eng. Mech., 70(6), 683-702. https://doi.org/10.12989/sem.2019.70.6.683
- Mohammadimehr, M. and Mostafavifar, M. (2016), "Free vibration analysis of sandwich plate with a transversely flexible core and FG-CNTs reinforced nanocomposite face sheets subjected to magnetic field and temperature-dependent material properties using SGT", Compos. Part B Eng., 94, 253-270. https://doi.org/10.1016/j.compositesb.2016.03.030
- Mohammadimehr, M., Navi, B.R. and Arani, A.G. (2015), "Free vibration of viscoelastic double-bonded polymeric nanocomposite plates reinforced by FG-SWCNTs using MSGT, sinusoidal shear deformation theory and meshless method", Compos. Struct., 131, 654-671. https://doi.org/10.1016/j.compstruct.2015.05.077
- Mohammadimehr, M., Salemi, M. and Navi, B.R. (2016a), "Bending, buckling, and free vibration analysis of MSGT microcomposite Reddy plate reinforced by FG-SWCNTs with temperature-dependent material properties under hydro-thermomechanical loadings using DQM", Compos. Struct., 138, 361-380. https://doi.org/10.1016/j.compstruct.2015.11.055
- Mohammadimehr, M., Navi, B.R. and Arani, A.G. (2016b), "Modified strain gradient Reddy rectangular plate model for biaxial buckling and bending analysis of double-coupled piezoelectric polymeric nanocomposite reinforced by FG-SWNT", Compos. Part B Eng., 87, 132-148. https://doi.org/10.1016/j.compositesb.2015.10.007
- Mohammadimehr, M., Navi, B.R. and Arani, A.G. (2017), "Dynamic stability of MSGT sinusoidal viscoelastic piezoelectric polymeric FG-SWNT reinforced nanocomposite plate considering surface stress and agglomeration effects under hydro-thermo-electro-magneto-mechanical loadings", Mech. Adv. Mater. Struct, 24(16), 1325-1342. http://doi.org/10.1080/15376494.2016.1227507
- Nguyen, H.X., Nguyen, T.N., Abdel-Wahab, M., Bordas, S.P., Nguyen-Xuan, H. and Vo, T.P. (2017), "A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory", Comput. Meth. Appl. Mech. Eng., 313, 904-940. https://doi.org/10.1016/j.cma.2016.10.002
- Phung-Van, P., Abdel-Wahab, M., Liew, K.M., Bordas, S.P.A. and Nguyen-Xuan, H. (2015), "Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory", Compos. Struct., 123, 137-149. https://doi.org/10.1016/j.compstruct.2014.12.021
- Phung-Van, P., Lieu, Q.X., Nguyen-Xuan, H. and Wahab, M.A. (2017), "Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates", Compos. Struct., 166, 120-135. http://doi.org/10.1016/j.compstruct.2017.01.049.
- Rafiee, M., He, X.Q. and Liew, K.M. (2014), "Non-linear dynamic stability of piezoelectric functionally graded carbon nanotube-reinforced composite plates with initial geometric imperfection", Int. J. Non-Linear Mech., 59, 37-51. https://doi.org/10.1016/j.ijnonlinmec.2013.10.011
- Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press.
- Reddy, J. (2007), "Nonlocal theories for bending, buckling and vibration of beams", Int. J. Eng. Sci., 45(2-8), 288-307. https://doi.org/10.1016/j.ijengsci.2007.04.004
- Salari, E., Ashoori, A. and Vanini, S.A.S. (2019), "Porosity-dependent asymmetric thermal buckling of inhomogeneous annular nanoplates resting on elastic substrate", Adv. Nano Res., 7(1), 25. https://doi.org/10.12989/anr.2019.7.1.025
- She, G.L. (2021), "Guided wave propagation of porous functionally graded plates: The effect of thermal loadings", J. Therm. Stresses, 44(10), 1289-1305. https://doi.org/10.1080/01495739.2021.1974323
- She, G.L., Liu, H.B., and Karami, B. (2021), "Resonance analysis of composite curved microbeams reinforced with graphene nanoplatelets", Thin Wall. Struct., 160, 107407. https://doi.org/10.1016/j.tws.2020.107407
- Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026
- Shen, H.S. (2011), "Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells", Compos. Struct., 93(8), 2096-2108. https://doi.org/10.1016/j.compstruct.2011.02.011
- Shen, H.S. and Zhang, C.L. (2010), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates", Mater. Des., 31(7), 3403-3411. https://doi.org/10.1016/j.matdes.2010.01.048
- Shen, H.S. and Xiang, Y. (2012), "Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments", Comput. Meth. Appl. Mech. Eng., 213, 196-205. https://doi.org/10.1016/j.compstruct.2011.02.011
- Shen, H.S. and Zhu, Z. (2012), "Postbuckling of sandwich plates with nanotube-reinforced composite face sheets resting on elastic foundations", Eur. J. Mech. A Solids, 35, 10-21. https://doi.org/10.1016/j.euromechsol.2012.01.005
- 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
- Shen, H.S. and Xiang, Y. (2014), "Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments", Eng. Struct., 80, 163-172. https://doi.org/10.1016/j.engstruct.2014.08.038
- Thai, C.H., Ferreira, A.J.M., Nguyen-Xuan, H., Nguyen, L.B. and Phung-Van, P. (2021), "A nonlocal strain gradient analysis of laminated composites and sandwich nanoplates using meshfree approach", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01501-9
- Tharwan, M.Y., Daikh, A.A., Assie, A.E., Alnujaie, A. and Eltaher, M.A. (2023), "Refined quasi-3D shear deformation theory for buckling analysis of functionally graded curved nanobeam rested on Winkler/Pasternak/Kerr foundation", Mech. Based Des. Struct. Mach., 1-24. https://doi.org/10.1080/15397734.2023.2270043
- 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, C., Qu, J., Rong, D., Zhou, Z. and Leung, A.Y.T. (2021), "Theory and modeling of a novel class of nanoplate-based mass sensors with corner point supports", Thin Wall. Struct., 159, 107306. https://doi.org/10.1016/j.tws.2020.107306
- Yas, M.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Vess. Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012
- Zhang, L.W., Liew, K.M. and Reddy, J. (2016), "Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression", Comput. Meth. Appl. Mech. Eng., 298, 1-28. https://doi.org/10.1016/j.cma.2015.09.016
- Zhang, L.W. and Liew, K.M. (2015), "Geometrically nonlinear large deformation analysis of functionally graded carbon nanotube reinforced composite straight-sided quadrilateral plates", Comput. Meth. Appl. Mech. Eng., 295, 219-239. https://doi.org/10.1016/j.cma.2015.07.006
- Zhang, L.W., Song, Z.G. and Liew, K.M. (2015), "State-space Levy method for vibration analysis of FG-CNT composite plates subjected to in-plane loads based on higher-order shear deformation theory", Compos. Struct., 134, 989-1003. https://doi.org/10.1016/j.compstruct.2015.08.138
- Zhang, Y.Y., Wang, Y.X., Zhang, X., Shen, H.M., and She, G.L., (2021), "On snap-buckling of FGCNTR curved nanobeams considering surface effects", Steel Compos. Struct., 38(3), 293-304. http://doi.org/10.12989/scs.2021.38.3.293
- Zhang, Y.W., She, G.L. and Eltaher, M.A. (2023), "Nonlinear transient response of graphene platelets reinforced metal foams annular plate considering rotating motion and initial geometric imperfection", Aerosp. Sci. Technol., 142, 108693. https://doi.org/10.1016/j.ast.2023.108693
- Zhu, P., Lei, Z.X. and Liew, K.M. (2012a), "Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory", Compos. Struct., 94(4), 1450-1460. https://doi.org/10.1016/j.compstruct.2011.11.010
- Zhu, P., Lei, Z.X. and Liew, K.M. (2012b), "Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory", Compos. Struct., 94(4), 1450-1460. https://doi.org/10.1016/j.compstruct.2011.11.010