References
- Bourada, M., B. Abed, A. A. Bousahla, A. Senouci, F. Bourada, A. Tounsi, and S. R. Mahmoud. 2019. Buckling behavior of rectangular plates under uniaxial and biaxial compression. Structural Engineering and Mechanics 70 (1):113–23.
- Carrera, E., S. Brischetto, M. Cinefra, and M. Soave. 2010. Refined and advanced models for multilayered plates and shells embedding functionally graded material layers. Mechanics of Advanced Materials and Structures 17 (8):603–21. doi:https://doi.org/10.1080/15376494.2010.517730.
- Cheshmeh, E., M. Karbon, A. Eyvazian, D. W. Jung, M. Habibi, and M. Safarpour. 2019. Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher order shear deformation theory. Mechanics Based Design of Structures and Machines. doi:https://doi.org/10.1080/15397734.2020.1744005.
- Cinefra, M., E. Carrera, L. Della Croce, and C. Chinosi. 2012. Refined shell elements for the analysis of functionally graded structures. Composite Structures 94 (2):415–22. doi:https://doi.org/10.1016/j.compstruct.2011.08.006.
- Frikha, A., S. Zghal, and F. Dammak. 2018a. Dynamic analysis of functionally graded carbon nanotubes-reinforced plate and shell structures using a double directors finite shell element. Aerospace Science and Technology 78:438–51. doi:https://doi.org/10.1016/j.ast.2018.04.048.
- Frikha, A., S. Zghal, and F. Dammak. 2018b. Finite rotation three and four nodes shell elements for functionally graded carbon nanotubes-reinforced thin composite shells analysis. Computer Methods in Applied Mechanics and Engineering 329:289–311. doi:https://doi.org/10.1016/j.cma.2017.10.013.
- Ghahfarokhi, D. S., M. Safarpour, and A. Rahimi. 2019. Torsional buckling analyses of functionally graded porous nanocomposite cylindrical shells reinforced with graphene platelets (GPLs). Mechanics Based Design of Structures and Machines 1–22. doi:https://doi.org/10.1080/15397734.2019.1666723.
- Golchi, M., M. Talebitooti, and R. Talebitooti. 2019. Thermal buckling and free vibration of FG truncated conical shells with stringer and ring stiffeners using differential quadrature method. Mechanics Based Design of Structures and Machines 47 (3):255–82. doi:https://doi.org/10.1080/15397734.2018.1545588.
- Gupta, A., and M. Talha. 2018. Influence of initial geometric imperfections and porosity on the stability of functionally graded material plates. Mechanics Based Design of Structures and Machines 46 (6):693–711. doi:https://doi.org/10.1080/15397734.2018.1449656.
- Hajlaoui, A., E. Chebbi, and F. Dammak. 2019a. Buckling analysis of carbon nanotube reinforced FG shells using an efficient solid-shell element based on a modified FSDT. Thin-Walled Structures 144:106254. doi:https://doi.org/10.1016/j.tws.2019.106254.
- Hajlaoui, A., E. Chebbi, M. Wali, and F. Dammak. 2019b. Static analysis of carbon nanotube-reinforced FG shells using an efficient solid-shell element with parabolic transverse shear strain. Engineering Computations 37 (3):823–49. doi:https://doi.org/10.1108/EC-02-2019-0075.
- Hajlaoui, A., E. Chebbi, M. Wali, and F. Dammak. 2020. Geometrically nonlinear analysis of FGM shells using solid-shell element with parabolic shear strain distribution. International Journal of Mechanics and Materials in Design 16 (2):351–66. doi:https://doi.org/10.1007/s10999-019-09465-x.
- Hajlaoui, A., A. Jarraya, K. E. Bikri, and F. Dammak. 2015. Buckling analysis of functionally graded materials structures with enhanced solid-shell elements and transverse shear correction. Composite Structures 132:87–97. doi:https://doi.org/10.1016/j.compstruct.2015.04.059.
- Han, Y., and J. Elliot. 2007. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites. Computational Materials Science 39 (2):315–23. doi:https://doi.org/10.1016/j.commatsci.2006.06.011.
- Iijima, S. 1991. Helical microtubules of graphitic carbon. Nature 354 (6348):56–8. doi:https://doi.org/10.1038/354056a0.
- Koizumi, M. 1997. FGM activities in Japan. Composites Part B: Engineering 28 (1-2):1–4. doi:https://doi.org/10.1016/S1359-8368(96)00016-9.
- Lee, Y. Y., X. Zhao, and J. N. Reddy. 2010. Postbuckling analysis of functionally graded plates subject to compressive and thermal loads. Computer Methods in Applied Mechanics and Engineering 199 (25-28):1645–53. doi:https://doi.org/10.1016/j.cma.2010.01.008.
- Liew, K. M., Z. X. Lei, J. L. Yu, and L. W. Zhang. 2014. Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach. Computer Methods in Applied Mechanics and Engineering 268:1–17. doi:https://doi.org/10.1016/j.cma.2013.09.001.
- Liew, K. M., X. Zhao, and Y. Y. Lee. 2012. Postbuckling responses of functionally graded cylindrical shells under axial compression and thermal loads. Composites Part B: Engineering 43 (3):1621–30. doi:https://doi.org/10.1016/j.compositesb.2011.06.004.
- Reddy, J. N. 2003. Mechanics of laminated composite plates and shells: Theory and analysis. 2nd ed. New York: CRC Press.
- Safarpour, M., A. R. Rahimi, and A. Alibeigloo. 2020. Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM. Mechanics Based Design of Structures and Machines 48 (4):496–524. doi:https://doi.org/10.1080/15397734.2019.1646137.
- Shen, H. S. 1996. Thermomechanical postbuckling of imperfect moderately thick plates on nonlinear elastic foundations. Mechanics of Structures and Machines 24 (4):513–30. doi:https://doi.org/10.1080/08905459608905276.
- Shen, H. S. 2009. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures 91 (1):9–19. doi: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. Composite Structures 93 (8):2096–108. doi:https://doi.org/10.1016/j.compstruct.2011.02.011.
- Shen, H. S., and Y. Xiang. 2014. Postbuckling of axially compressed nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composites Part B: Engineering 67:50–61. doi:https://doi.org/10.1016/j.compositesb.2014.06.020.
- Shen, H. S., and C. L. Zhang. 2010. Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Materials & Design 31 (7):3403–11. doi:https://doi.org/10.1016/j.matdes.2010.01.048.
- Thornburgh, R. P., and M. W. Hilburger. 2005. Identifying and characterizing discrepancies between test and analysis results of compression-loaded panels. NASA/TM-2005-213932 ARL-TR-3664.
- Trabelsi, S., S. Zghal, and F. Dammak. 2020. Thermo-elastic buckling and post–buckling analysis of functionally graded thin plate and shell structures. Journal of the Brazilian Society of Mechanical Sciences and Engineering 42:233. doi:https://doi.org/10.1007/s40430-020-02314-5.
- Wali, M., A. Hajlaoui, and F. Dammak. 2014. Discrete double directors shell element for the functionally graded material shell structures analysis. Computer Methods in Applied Mechanics and Engineering 278:388–403. doi:https://doi.org/10.1016/j.cma.2014.05.011.
- Yamaki, N. 1959. Postbuckling behavior of rectangular plates with small initial curvature loaded in edge compression. Journal of Applied Mechanics 26:407–414.
- Yamaki, N. 1960. Postbuckling behavior of rectangular plates with small initial curvature loaded in edge compression—(continued). Journal of Applied Mechanics 27 (2):335–342. doi:https://doi.org/10.1115/1.3643962.
- Yang, H. T. Y., S. Saigal, and D. G. Liaw. 1990. Advances of thin shell finite elements and some applications - Version I. Computers & Structures 35 (4):481–504. doi:https://doi.org/10.1016/0045-7949(90)90071-9.
- Zghal, S., D. Ataoui, and F. Dammak. 2020. Static bending analysis of beams made of functionally graded porous materials. Mechanics Based Design of Structures and Machines. doi:https://doi.org/10.1080/15397734.2020.1748053.
- Zghal, S., and F. Dammak. 2020. Vibrational behavior of beams made of functionally graded materials by using a mixed formulation. Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science. doi:https://doi.org/10.1177/0954406220916533.
- Zghal, S., A. Frikha, and F. Dammak. 2017. Static analysis of functionally graded carbon nanotube-reinforced plate and shell structures. Composite Structures 176:1107–23. doi:https://doi.org/10.1016/j.compstruct.2017.06.015.
- Zghal, S., A. Frikha, and F. Dammak. 2018a. Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures. Applied Mathematical Modelling 53:132–55. doi:https://doi.org/10.1016/j.apm.2017.08.021.
- Zghal, S., A. Frikha, and F. Dammak. 2018b. Mechanical buckling analysis of functionally graded power-based and carbon nanotubes-reinforced composite plates and curved panels. Composites Part B: Engineering 150:165–83. doi:https://doi.org/10.1016/j.compositesb.2018.05.037.
- Zghal, S., A. Frikha, and F. Dammak. 2018c. Non-linear bending analysis of nanocomposites reinforced by graphene-nanotubes with finite shell element and membrane enhancement. Engineering Structures 158:95–109. doi:https://doi.org/10.1016/j.engstruct.2017.12.017.
- Zhang, C. L., and H. S. Shen. 2006. Temperature-dependent elastic properties of single-walled carbon nanotubes: Prediction from molecular dynamics simulation. Applied Physics Letters 89 (8):081904. doi:https://doi.org/10.1063/1.2336622.
- Zhang, L. W., and K. M. Liew. 2016. Postbuckling analysis of axially compressed CNT reinforced functionally graded composite plates resting on Pasternak foundations using an element-free approach. Composite Structures 138:40–51. doi:https://doi.org/10.1016/j.compstruct.2015.11.031.
- Zhang, L. W., K. M. Liew, and J. N. Reddy. 2016a. Postbuckling analysis of bi-axially compressed laminated nanocomposite plates using the first-order shear deformation theory. Composite Structures 152:418–31. doi:https://doi.org/10.1016/j.compstruct.2016.05.040.
- Zhang, L. W., K. M. Liew, and J. N. Reddy. 2016b. Postbuckling behavior of bi-axially compressed arbitrarily straight-sided quadrilateral functionally graded material plates. Computer Methods in Applied Mechanics and Engineering 300:593–600. doi:https://doi.org/10.1016/j.cma.2015.11.030.
- Zhang, L. W., K. M. Liew, and J. N. Reddy. 2016c. Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression. Computers Methods in Applied Mechanics and Engineering 298:1–28. doi:https://doi.org/10.1016/j.cma.2015.09.016.