Nonlinear Electro-Thermo-Torsional Buckling Analysis of Stiffened Functionally Graded Graphene-Reinforced Composite Laminated Toroidal Shell Segments
Publication: Journal of Engineering Mechanics
Volume 149, Issue 2
Abstract
A new design of functionally graded graphene-reinforced composite laminated (FG-GRCL) toroidal shell segments in the thermal environment with a piezoelectric layer attached to the surface of the shells is presented in this paper. The piezoelectric FG-GRCL toroidal shell segments are reinforced by a FG-GRCL stringer and/or ring stiffener system. The nonlinear electro-thermo-torsional buckling and postbuckling of the shells are analyzed considering the geometrical nonlinearities described by von Kármán in the framework of the classical Donnell thin shell theory. Airy’s stress function and Galerkin’s process are applied, in which the deflection solution of the shell is approximately presented. The effects of thermal load, volume fraction and distribution type of graphene, piezoelectric layer, geometric parameters of the toroidal shell segments, and stiffeners on the torsional buckling load and postbuckling curves are analyzed and investigated in the numerical investigations.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The available items include the detailed processes of establishing formulations and solving problems, the detailed data of figures, and the calculation code of critical buckling loads and postbuckling curves.
References
Bagherizadeh, E., Y. Kiani, and M. R. Eslami. 2011. “Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation.” Compos. Struct. 93 (11): 3063–3071. https://doi.org/10.1016/j.compstruct.2011.04.022.
Bich, H. D., D. G. Ninh, and T. I. Thinh. 2016. “Buckling analysis of eccentrically stiffened functionally graded toroidal shell segments under mechanical load.” J. Eng. Mech. 142 (1): 04015054. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000964.
Dong, K., and X. Wang. 2007. “Wave propagation characteristics in piezoelectric cylindrical laminated shells under large deformation.” Compos. Struct. 77 (2): 171–181. https://doi.org/10.1016/j.compstruct.2005.06.011.
Foroutan, K., H. Ahmadi, and E. Carrera. 2019. “Nonlinear vibration of imperfect FG-CNTRC cylindrical panels under external pressure in the thermal environment.” Compos. Struct. 227 (Nov): 111310. https://doi.org/10.1016/j.compstruct.2019.111310.
Foroutan, K., E. Carrera, and H. Ahmadi. 2021a. “Nonlinear hygrothermal vibration and buckling analysis of imperfect FG-CNTRC cylindrical panels embedded in viscoelastic foundations.” Eur. J. Mech. A Solids 85 (Jan–Feb): 104107. https://doi.org/10.1016/j.euromechsol.2020.104107.
Foroutan, K., E. Carrera, and H. Ahmadi. 2021b. “Static and dynamic hygrothermal postbuckling analysis of sandwich cylindrical panels with an FG-CNTRC core surrounded by nonlinear viscoelastic foundations.” Compos. Struct. 259 (Mar): 113214. https://doi.org/10.1016/j.compstruct.2020.113214.
Huang, H., and Q. Han. 2010. “Nonlinear buckling of torsion-loaded functionally graded cylindrical shells in thermal environment.” Eur. J. Mech. A Solids 29 (1): 42–48. https://doi.org/10.1016/j.euromechsol.2009.06.002.
Jabbari, M., A. Mojahedin, and E. Farzaneh Joubaneh. 2015. “Thermal buckling analysis of circular plates made of piezoelectric and saturated porous functionally graded material layers.” J. Eng. Mech. 141 (4): 04014148. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000872.
Ly, L. N., V. M. Duc, N. T. Trung, N. T. Phuong, D. T. Dong, T. Q. Minh, N. V. Tien, and V. T. Hung. 2021. “An analytical approach to the nonlinear buckling behavior of axially compressed auxetic-core cylindrical shells with carbon nanotube-reinforced coatings.” Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl. 235 (10): 2254–2265. https://doi.org/10.1177/14644207211033320.
Mehralian, F., Y. T. Beni, and R. Ansari. 2016. “On the size dependent buckling of anisotropic piezoelectric cylindrical shells under combined axial compression and lateral pressure.” Int. J. Mech. Sci. 119 (Dec): 155–169. https://doi.org/10.1016/j.ijmecsci.2016.10.006.
Miraliyari, O., M. M. Najafizadeh, A. R. Rahmani, and A. M. Hezaveh. 2011. “Thermal and mechanical buckling of short and long functionally graded cylindrical shells using first order shear deformation theory.” Int. J. Mech. Mechatron. Eng. 5 (2): 518–522. https://doi.org/10.5281/zenodo.1328442.
Najafov, A. M., A. H. Sofiyev, and N. Kuruoglu. 2013. “Torsional vibration and stability of functionally graded orthotropic cylindrical shells on elastic foundations.” Meccanica 48 (4): 829–840. https://doi.org/10.1007/s11012-012-9636-0.
Nam, V. H., N. T. Phuong, C. V. Doan, and N. T. Trung. 2019. “Nonlinear thermo-mechanical stability analysis of eccentrically spiral stiffened sandwich functionally graded cylindrical shells subjected to external pressure.” Int. J. Appl. Mech. 11 (5): 1950045. https://doi.org/10.1142/S1758825119500455.
Phuong, N. T., V. M. Duc, C. V. Doan, and V. H. Nam. 2021a. “Nonlinear torsional buckling of functionally graded graphene-reinforced composite (FG-GRC) laminated cylindrical shells stiffened by FG-GRC laminated stiffeners in thermal environment.” Polym. Compos. 42 (6): 3051–3063. https://doi.org/10.1002/pc.26038.
Phuong, N. T., D. T. Luan, V. H. Nam, and P. T. Hieu. 2019. “Nonlinear approach on torsional buckling and postbuckling of functionally graded cylindrical shells reinforced by orthogonal and spiral stiffeners in thermal environment.” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 233 (6): 2091–2106. https://doi.org/10.1177/0954406218780523.
Phuong, N. T., V. H. Nam, N. T. Trung, V. M. Duc, N. V. Loi, N. D. Thinh, and P. T. Tu. 2021b. “Thermomechanical postbuckling of functionally graded graphene-reinforced composite laminated toroidal shell segments surrounded by Pasternak’s elastic foundation.” J. Thermoplast. Compos. Mater. 34 (10): 1380–1407. https://doi.org/10.1177/0892705719870593.
Phuong, N. T., N. T. Trung, C. V. Doan, N. D. Thang, V. M. Duc, and V. H. Nam. 2020. “Nonlinear thermomechanical buckling of FG-GRC laminated cylindrical shells stiffened by FG-GRC stiffeners subjected to external pressure.” Acta Mech. 231 (12): 5125–5144. https://doi.org/10.1007/s00707-020-02813-5.
Shen, H. S. 2001. “Postbuckling of shear deformable laminated plates with piezoelectric actuators under complex loading conditions.” Int. J. Solids Struct. 38 (44–45): 7703–7721. https://doi.org/10.1016/S0020-7683(01)00120-2.
Shen, H. S. 2005. “Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings.” Int. J. Solids Struct. 42 (23): 6101–6121. https://doi.org/10.1016/j.ijsolstr.2005.03.042.
Shen, H. S. 2009. “Torsional buckling and postbuckling of FGM cylindrical shells in thermal environments.” Int. J. Non Linear Mech. 44 (6): 644–657. https://doi.org/10.1016/j.ijnonlinmec.2009.02.009.
Shen, H. S. 2010. “Buckling and postbuckling of anisotropic laminated cylindrical shells with piezoelectric fiber reinforced composite actuators.” Mech. Adv. Mater. Struct. 17 (4): 268–279. https://doi.org/10.1080/15376490903556592.
Shen, H. S. 2013. “Thermal postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium.” J. Eng. Mech. 139 (8): 979–991. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000439.
Shen, H. S. 2014. “Torsional postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments.” Compos. Struct. 116 (Sep–Oct): 477–488. https://doi.org/10.1016/j.compstruct.2014.05.039.
Shen, H. S., F. Lin, and Y. Xiang. 2017. “Nonlinear bending and thermal postbuckling of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations.” Eng. Struct. 140 (Jun): 89–97. https://doi.org/10.1016/j.engstruct.2017.02.069.
Shen, H. S., and Y. Xiang. 2018a. “Postbuckling behavior of functionally graded graphene-reinforced composite laminated cylindrical shells under axial compression in thermal environments.” Comput. Methods Appl. Mech. Eng. 330 (Mar): 64–82. https://doi.org/10.1016/j.cma.2017.10.022.
Shen, H. S., and Y. Xiang. 2018b. “Postbuckling of functionally graded graphene-reinforced composite laminated cylindrical shells subjected to external pressure in thermal environments.” Thin Walled Struct. 124 (Mar): 151–160. https://doi.org/10.1016/j.tws.2017.12.005.
Shen, H. S., and Y. Xiang. 2019. “Torsional postbuckling behavior of FG-GRC laminated cylindrical shells in thermal environments.” Thin Walled Struct. 135 (Feb): 560–574. https://doi.org/10.1016/j.tws.2018.11.025.
Swain, A., and T. Roy. 2019. “Viscoelastic material damping characteristics of carbon nanotubes based functionally graded composite shell structures.” Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl. 233 (8): 1510–1541. https://doi.org/10.1177/1464420718764513.
Wang, Q., and K. M. Liew. 2003. “Analysis of wave propagation in piezoelectric coupled cylinder affected by transverse shear and rotary inertia.” Int. J. Solids Struct. 40 (24): 6653–6667. https://doi.org/10.1016/S0020-7683(03)00422-0.
Yu, Y., H. S. Shen, H. Wang, and D. Hui. 2018. “Postbuckling of sandwich plates with graphene-reinforced composite face sheets in thermal environments.” Composites, Part B 135 (Feb): 72–83. https://doi.org/10.1016/j.compositesb.2017.09.045.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Feb 11, 2022
Accepted: Sep 23, 2022
Published online: Nov 28, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 28, 2023
ASCE Technical Topics:
- Buckling
- Composite materials
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering materials (by type)
- Engineering mechanics
- Material mechanics
- Materials engineering
- Nonlinear analysis
- Piezoelectricity
- Post buckling
- Solid mechanics
- Stiffening
- Strain
- Stress (by type)
- Structural analysis
- Structural behavior
- Structural dynamics
- Structural engineering
- Thermal analysis
- Thermal loads
- Thermodynamics
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