Acknowledgement
The authors would like to acknowledge the support provided by the Directorate General for Scientific Research and Technological Development (DGRSDT).
References
- Alhaifi, K., Khorshidvand, A.R., Al-Masoudy, M.M., Arshid, E. and Madani, S.H. (2023), "A shooting method for buckling and post-buckling analyses of FGSP circular plates considering various patterns of Pores' placement", Struct. Eng. Mech., 85(3), 419-432. https://doi.org/10.12989/sem.2023.85.3.419
- Arani, A.J. and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with Carbonnanotubes", Comput. Concr., 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567
- Belarbi, M.O., Salami, S.J., Garg, A., Daikh, A.A., Houari, M.S. A., Dimitri, R. and Tornabene, F. (2023), "Mechanical behavior analysis of FG-CNT-reinforced polymer composite beams via a hyperbolic shear deformation theory", Continuum Mech. Thermodyn., 35, 497-520. https://doi.org/10.1007/s00161-023-01191-2
- Chang, G., Huang, H. and Li, Z. (2024). "Systematic failure mechanism of an FGMs polyhedral arched liner under a fire disaster environment", Eng. Struct., 305, 117655. https://doi.org/10.1016/j.engstruct.2024.117655
- Chang, G. and Li, Z. (2024). "Systematic schemes for buckling analyses of a subsea bio-inspired non-circular FGM polyhedral liner with an arch invert", Ocean Eng., 300, 117484. https://doi.org/10.1016/j.oceaneng.2024.117484
- Ebrahimi, F. and Habibi, S. (2017). "Low-velocity impact response of laminated FG-CNT reinforced composite plates in thermal environment", Adv. Nano Res., 5(2), 69. https://doi.org/10.12989/anr.2017.5.2.069
- Dresselhaus, M.S. and Avouris, P. (2001), Introduction to Carbon Materials Research, In Carbon Nanotubes, Topics Appl. Phys., 80, 1-9, Springer, Berlin, Heidelberg.
- Eltaher, M.A., Almalki, T.A., Ahmed, K.I. and Almitani, K.H. (2019), "Characterization and behaviors of single walled carbon nanotube by equivalent-continuum mechanics approach", Adv. Nano Res., 7(1), 39-49, http://doi.org/10.12989/anr.2019.7.1.039
- Jamali, M., Shojaee, T., Mohammadi, B. and Kolahchi, R. (2019), "Cut out effect on nonlinear post-buckling behavior of FG-CNTRC micro plate subjected to magnetic field via FSDT", Adv. Nano Res, 7(6), 405-417. https://doi.org/10.12989/anr.2019.7.6.405
- 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
- Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nature, 354(6348), 56-58. https://doi.org/10.1038/354056a0
- Jiang B., Liu C., Zhang C., Liang R. and Wang B. (2009), "Maximum nanotube volume fraction and its effect on overall elastic properties of nanotube-reinforced composites", Compos. Part B, 40, 212-217. https://doi.org/10.1016/j.compositesb.2008.11.003
- Jin, Y. and Yuan, F.G. (2003), "Simulation of elastic properties of single-walled carbon nanotubes", Compos. Sci. Technol., 63(11), 1507-1515. https://doi.org/10.1016/S0266-3538(03)00074-5
- Kiani, Y. (2017), "Buckling of FG-CNT-reinforced composite plates subjected to parabolic loading", Acta Mechanica, 228(4), 1303-1319, https://doi.org/10.1007/s00707-016-1781-4.
- Kiani, Y., Bagherizadeh, E. and Eslami, M.R. (2011), "Thermal buckling of clamped thin rectangular FGM plates resting on Pasternak elastic foundation (Three approximate analytical solutions)", Zeitschr. Angwe. Math. Mech, 91(7), 581-593. https://doi.org/10.1002/zamm.201000184.
- Kolahchi, R., Keshtegar, B. and Fakhar, M.H. (2020). "Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezo-elasticity theories using Grey Wolf algorithm", J. Sandw. Struct. Mater., 22(1), 3-27. https://doi.org/10.1177/1099636217731071
- Li, Z., Zhang, Q., Shen, H., Xiao, X., Kuai, H. and Zheng, J. (2023). "Buckling performance of the encased functionally graded porous composite liner with polyhedral shapes reinforced by graphene platelets under external pressure", Thin Wall. Struct., 183, 110370. https://doi.org/10.1016/j.tws.2022.110370
- Mallek, H., Jrad, H., Wali, M., Kessentini, A., Gamaoun, F. and Dammak, F. (2020), "Dynamic analysis of functionally graded carbon nanotube-reinforced shell structures with piezoelectric layers under dynamic loads", J. Vib. Control, 26(13-14), 1157-1172. https://doi.org/10.1177/1077546319892753.
- Heidari, F., Afsari, A. and Janghorban, M. (2020), "Several models for bending and buckling behaviors of FG-CNTRCs with piezoelectric layers including size effects", Adv. Nano Res., 9(3), 193-210. https://doi.org/10.12989/anr.2020.9.3.193
- Mayandi, K. and Jeyaraj, P. (2015), "Bending, buckling and free vibration characteristics of FG-CNT polymer composite beam under non-uniform thermal load", J. Mater. Des. Appl., 229, 13-28. https://doi.org/10.1177/1464420713493720
- Mehar, K. and Panda, S.K. (2018), "Thermal free vibration behavior of FG-CNT reinforced sandwich curved panel using finite element method", Polym. Compos., 39, 2751-2764. https://doi.org/10.1002/pc.24266
- Mellouli, H., Jrad, H., Wali, M. and Dammak, F. (2020), "Free vibration analysis of FG-CNTRC shell structures using the meshfree radial point interpolation method", Comput. Math. Appl., 79(11), 3160-3187,. https://doi.org/10.1016/j.camwa.2020.01.015.
- Mirzaei, M. and Kiani, Y. (2016), "Thermal buckling of temperature dependent FG-CNT reinforced composite plates", Meccanica, 51, 2185-2201. https://doi.org/10.1007/s11012-015-0348-0
- Mohammadimehr, M., Shahedi, S. and Rousta Navi, B. (2017), "Nonlinear vibration analysis of FG-CNTRC sandwich Timoshenko beam based on modified couple stress theory subjected to longitudinal magnetic field using generalized differential quadrature method", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 231(20), 3866-3885. https://doi.org/10.1177/0954406216653622
- Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of nonlocal continuum models to nanotechnology" Int. J. Eng. Sci., 41(3-5), 305-312. https://doi.org/10.1016/S0020-7225(02)00210-0
- Phung-Van, P., Thanh, C.L., Nguyen-Xuan, H. and Abdel-Wahab, M. (2018), "Nonlinear transient isogeometric analysis of FG-CNTRC nanoplates in thermal environments", Compos. Struct., 201, 882-892. https://doi.org/10.1016/j.compstruct.2018.06.087.
- Ru, C.Q. (2000), "Elastic buckling of single-walled carbon nanotube ropes under high pressure", Phys. Rev. B, 62(15), 10405. https://doi.org/10.1103/PhysRevB.62.10405.
- She, G.L., Yuan, F.G., Ren, Y.R. and Xiao, W.S. (2017), "On buckling and postbuckling behavior of nanotubes", Int. J. Eng. Sci., 121, 130-142. https://doi.org/10.1016/j.ijengsci.2017.09.005
- 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.
- Simsek M. (2010), "Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories", Nuclear Eng. Des., 240, 697-705. http://doi.org/10.1016/j.nucengdes.2009.12.013
- Tagrara, S.H., Benachour, A., Bouiadjra, M.B. and Tounsi, A. (2015), "On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams", Steel Compos. Struct., 19(5), 1259-1277. https://doi.org/10.12989/scs.2015.19.5.1259.
- Tlidji, Y., Benferhat, R., Daouadji, T. H., Tounsi, A. and Trinh, L. C. (2022). "Free vibration analysis of FGP nanobeams with classical and non-classical boundary conditions using State-space approach", Adv. Nano Res., 13(5), 453. https://doi.org/10.12989/anr.2022.13.5.453
- Vodenitcharova, T. and Zhang, L.C. (2006), "Bending and local buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube", J. Sol. Struct., 43(10), 3006-3024. https://doi.org/10.1016/j.ijsolstr.2005.05.014
- Wang, Q., Varadan, V. K. and Quek, S. T. (2006), "Small scale effect on elastic buckling of carbon nanotubes with nonlocal continuum models", Phys. Lett. A, 357(2), 130-135. https://doi.org/10.1016/j.physleta.2006.04.026.
- Weon, J.I. (2009), "Mechanical and thermal behavior of polyamide-6/clay nanocomposite using continuumbased micro-mechanical modeling", Macromol. Res., 17(10), 797-806. https://doi.org/10.1007/BF03218617.
- Wu, H., Kitipornchai, S. and Yang, J. (2015), "Free vibration and buckling analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets", J. Struct. Stab. Dyn., 15(7), 1540011. https://doi.org/10.1142/S0219455415400118
- Yang, J., Ke, L.L. and Feng, C. (2015), "Dynamic buckling of thermo-electro-mechanically loaded FGCNTRC beams", J. Struct. Stab. Dyn., 15(8), 1540017. https://doi.org/10.1142/S0219455415400179
- 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. Vessels Pip., 98, 119-128. https://doi.org/10.1016/j.ijpvp.2012.07.012.
- Zenkour, A.M. (2018), "Modified couple stress theory for micro-machined beam resonators with linearly varying thickness and various boundary conditions", Arch. Mech. Eng., 65(1), 43-64. https://doi.org/10.24425/119409.
- 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
- Zghal, S., Ataoui, D. and Dammak, F (2020), "Static bending analysis of beams made of functionally graded porous materials", Mech. Based Des. Struct., 50(3),1-18. https://doi.org/10.1080/15397734.2020.1748053.
- Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015), "Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach", Compos. Part B Eng., 75, 36-46. https://doi.org/10.1016/j.compositesb.2015.01.033.
- Zhang, L.W., Liew, K.M. and Reddy, J.N. (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, S., Bu, R., Zhang, Z., Gao, L. and Li, Z. (2024). "A systematic model for the mechanical behavior of thin-walled composite FGM pipelines subjected to strike-slip faults in geohazard area", Thin Wall. Struct., 112135. https://doi.org/10.1016/j.tws.2024.112135
- Zhu, P., Lei, Z.X. and Liew, K.M. (2012), "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, 1450-1460. https://doi.org/10.1016/j.compstruct.2011.11.010
- Xiao, X., Bu, G., Ou, Z. and Li, Z. (2022), "Nonlinear in-plane instability of the confined FGP arches with nanocomposites reinforcement under radially-directed uniform pressure", Eng. Struct., 252, 113670. https://doi.org/10.1016/j.engstruct.2021.113670
- Xiao, X., Zhang, Q., Chang, G., Liu, Y. and Li, Z. (2024), "Structural optimization model of confined polyhedral composite subsea pipelines under pressure and thermal fields", Marine Struct., 94, 103548. https://doi.org/10.1016/j.marstruc.2023.103548
- Xiao, X., Zhang, Q., Zheng, J. and Li, Z. (2023), "Analytical model for the nonlinear buckling responses of the confined polyhedral FGP-GPLs lining subjected to crown point loading", Eng. Struct., 282, 115780. https://doi.org/10.1016/j.engstruct.2023.115780