Nonlinear buckling behavior of FG-GPLRC cylindrical shell stiffened by spiral FG-GPLRC stiffeners subjected to axial compressive load in thermal environment
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https://doi.org/10.15625/0866-7136/23703Keywords:
functionally graded graphene platelet-reinforced composite (FG-GPLRC), nonlinear buckling, spiral stiffener, Ritz energy method, cylindrical shellAbstract
This study investigates the nonlinear behavior of functionally graded graphene platelet-reinforced composite (FG-GPLRC) thin cylindrical shells stiffened by orthogonal or spiral FG-GPLRC stiffeners under axial compression. Five graphene platelet (GPL) distribution patterns for shell and stiffeners are considered. The governing equations are formulated based on Donnell shell theory, incorporating geometric nonlinearity of von Karman and the effects of Pasternak elastic foundation. The influence of spiral stiffeners is modeled using an improved Lekhnitskii smeared stiffener technique, considering both mechanical and thermal stresses. Circumferential closed conditions, three-term form of deflection, and the Ritz energy method are employed to derive expressions for the critical buckling load and postbuckling load-deflection curves. The results demonstrate that spiral stiffeners provide superior load-carrying capacity compared to orthogonal stiffeners. Numerical studies also show significant effects of thermal environment, material distribution patterns, geometric parameters, and elastic foundation on the buckling and postbuckling responses of stiffened shells.
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Ansari, R., & Torabi, J. (2019). Semi-analytical postbuckling analysis of polymer nanocomposite cylindrical shells reinforced with functionally graded graphene platelets. Thin-Walled Structures, 144, 106248. https://doi.org/10.1016/j.tws.2019.106248
Ansari, R., Torabi, J., & Hasrati, E. (2020). Postbuckling analysis of axially-loaded functionally graded GPL-reinforced composite conical shells. Thin-Walled Structures, 148, 106594. https://doi.org/10.1016/j.tws.2019.106594
Dong, D. T., Nam, V. H., Phuong, N. T., Ly, L. N., Duc, V. M., Van Tien, N., Minh, T. Q., Hung, V. T., & Quan, P. H. (2022). An analytical approach of nonlinear buckling behavior of longitudinally compressed carbon nanotube-reinforced (CNTR) cylindrical shells with CNTR stiffeners in thermal environment. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 102(4), e202100228. https://doi.org/10.1002/zamm.202100228
Huang, H., & Han, Q. (2009). Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells. International Journal of Mechanical Sciences, 51(7), 500–507. https://doi.org/10.1016/j.ijmecsci.2009.05.002
Huang, X., Yang, J., & Yang, Z. (2021). Thermo-elastic analysis of functionally graded graphene nanoplatelets (GPLs) reinforced closed cylindrical shells. Applied Mathematical Modelling, 97, 754–770. https://doi.org/10.1016/j.apm.2021.04.027
Huy Bich, D., Van Dung, D., Nam, V. H., & Thi Phuong, N. (2013). Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression. International Journal of Mechanical Sciences, 74, 190–200. https://doi.org/10.1016/j.ijmecsci.2013.06.002
Jiao, P., Chen, Z., Li, Y., Ma, H., & Wu, J. (2019). Dynamic buckling analyses of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shell under axial power-law time-varying displacement load. Composite Structures, 220, 784–797. https://doi. org/10.1016/j.compstruct.2019.04.048
Lei, Z., Liew, K., & Yu, J. (2013). Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method. Computer Methods in Applied Mechanics and Engineering, 256, 189–199. https://doi.org/10.1016/j.cma.2012.12.007
Liu, D., Kitipornchai, S., Chen, W., & Yang, J. (2018). Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell. Composite Structures, 189, 560–569. https://doi.org/10.1016/j.compstruct. 2018.01.106
Lu, L., Leanza, S., Liu, Y., & Zhao, R. R. (2025). Buckling and post-buckling of cylindrical shells under combined torsional and axial loads. European Journal of Mechanics - A/Solids, 112, 105653. https://doi.org/10.1016/j.euromechsol.2025.105653
Nam, V. H., Phuong, N. T., Van Minh, K., & Hieu, P. T. (2018). Nonlinear thermo-mechanical buckling and post-buckling of multilayer FGM cylindrical shell reinforced by spiral stiffeners surrounded by elastic foundation subjected to torsional loads. European Journal of Mechanics - A/Solids, 72, 393–406. https://doi.org/10.1016/j.euromechsol.2018.06.005
Nguyen, T. N., Lee, S., Nguyen, P.-C., Nguyen-Xuan, H., & Lee, J. (2020). Geometrically nonlinear postbuckling behavior of imperfect FG-CNTRC shells under axial compression using isogeometric analysis. European Journal of Mechanics - A/Solids, 84, 104066. https://doi.org/10. 1016/j.euromechsol.2020.104066
Ramezani, M., Rezaiee-Pajand, M., & Tornabene, F. (2022). Nonlinear thermomechanical analysis of GPLRC cylindrical shells using HSDT enriched by quasi-3D ANS cover functions. Thin- Walled Structures, 179, 109582. https://doi.org/10.1016/j.tws.2022.109582
Shen, H.-S. (2005). Postbuckling of axially loaded FGM hybrid cylindrical shells in thermal environments. Composites Science and Technology, 65(11–12), 1675–1690. https://doi.org/10. 1016/j.compscitech.2005.02.008
Shen, H.-S. (2011). Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Composite Structures, 93(8), 2096–2108. https://doi.org/10.1016/j.compstruct.2011.02.011
Shen, H.-S., & Xiang, Y. (2013). Postbuckling of nanotube-reinforced composite cylindrical shells under combined axial and radial mechanical loads in thermal environment. Composites Part B: Engineering, 52, 311–322. https://doi.org/10.1016/j.compositesb.2013.04.034
Singh, R., Gupta, A., & Jain, N. K. (2025). Free vibration analysis of cracked isotropic and FGM cylindrical shells with axially varying thickness: An analytical approach. Thin-Walled Structures, 2025, 113344. https://doi.org/10.1016/j.tws.2025.113344
Sofiyev, A. H., & Kuruoglu, N. (2014). Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures. Thin-Walled Structures, 78, 121–130. https://doi.org/10.1016/j.tws.2014.01.009
Wang, Y., Zeng, R., & Safarpour, M. (2022). Vibration analysis of FG-GPLRC annular plate in a thermal environment. Mechanics Based Design of Structures and Machines, 50(1), 352–370. https://doi.org/10.1080/15397734.2020.1719508
Wang, Y., Feng, C., Zhao, Z., Lu, F., & Yang, J. (2018). Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout. Composite Structures, 197, 72–79. https://doi.org/10.1016/j.compstruct.2018.05.056
Wang, Y., Feng, C., Zhao, Z., & Yang, J. (2018). Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL). Composite Structures, 202, 38–46. https://doi.org/10.1016/j.compstruct.2017.10.005
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National Foundation for Science and Technology Development
Grant numbers 107.02-2023.45
