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DOI QR Code

Nonlinear buckling and post-buckling of functionally graded CNTs reinforced composite truncated conical shells subjected to axial load

  • Do, Quang Chan (University of Transport Technology) ;
  • Pham, Dinh Nguyen (Avanced Materials and Structures Laboratory, University of Engineering and Technology) ;
  • Vu, Dinh Quang (Avanced Materials and Structures Laboratory, University of Engineering and Technology) ;
  • Vu, Thi Thuy Anh (Avanced Materials and Structures Laboratory, University of Engineering and Technology) ;
  • Nguyen, Dinh Duc (Avanced Materials and Structures Laboratory, University of Engineering and Technology)
  • Received : 2018.05.08
  • Accepted : 2019.04.04
  • Published : 2019.05.10

Abstract

This study deals with the nonlinear static analysis of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) truncated conical shells subjected to axial load based on the classical shell theory. Detailed studies for both nonlinear buckling and post-buckling behavior of truncated conical shells. The truncated conical shells are reinforced by single-walled carbon nanotubes which alter according to linear functions of the shell thickness. The nonlinear equations are solved by both the Airy stress function and Galerkin method based on the classical shell theory. In numerical results, the influences of various types of distribution and volume fractions of carbon nanotubes, geometrical parameters, elastic foundations on the nonlinear buckling and post-buckling behavior of FG-CNTRC truncated conical shells are presented. The proposed results are validated by comparing with other authors.

Keywords

Acknowledgement

Supported by : Vietnam National University, Hanoi (VNU)

References

  1. Akbari, M., Kiani, Y. and Eslami, M.R. (2015), "Thermal buckling of temperature-dependent FGM conical shells with arbitrary edge supports", Acta. Mech., 226(3), 897-915. https://doi.org/10.1007/s00707-014-1168-3
  2. Ansari, R. and Torabi, J. (2016), "Numerical study on the buckling and vibration of functionally graded carbon nanotube-reinforced composite conical shells under axial loading", Compos. Part B Eng., 95, 196-208. https://doi.org/10.1016/j.compositesb.2016.03.080
  3. Chan, D.Q., Dung, D.V. and Hoa, L.K. (2018), "Thermal buckling analysis of stiffened FGM truncated conical shells resting on elastic foundations using FSDT", Acta. Mech. 229(5), 2221-2249. https://doi.org/10.1007/s00707-017-2090-2
  4. Duc, N.D. and Cong, P.H. (2015), "Nonlinear thermal stability of eccentrically stiffened functionally graded truncated conical shells surrounded on elastic foundations", Euro. J. Mech. A Solids., 50, 120-131. https://doi.org/10.1016/j.euromechsol.2014.11.006
  5. Duc, N.D. and Nguyen, P.D. (2017), "The dynamic response and vibration of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) truncated conical shells resting on elastic foundation", Materials, 10(10), 1194. https://doi.org/10.3390/ma10101194
  6. Duc, N.D., Cong, P.H., Tuan, N.D., Phuong, T. and Thanh, N.V. (2017), "Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT) reinforced composite truncated conical shells surrounded by the elastic foundations", Thin-Wall. Struct., 115, 300-310. https://doi.org/10.1016/j.tws.2017.02.016
  7. Duc, N.D., Kim, S.E. and Chan, D.Q. (2018), "Thermal buckling analysis of FGM sandwich truncated conical shells reinforced by FGM stiffeners resting on elastic foundations using FSDT", J. Therm. Stress, 41(3), 331-365. https://doi.org/10.1080/01495739.2017.1398623
  8. Dung, D.V., Hoai, B.T.T. and Hoa, L.K. (2017), "Postbuckling nonlinear analysis of FGM truncated conical shells reinforced by orthogonal stiffeners resting on elastic foundations", Acta Mech., 228(4), 1457-1479. https://doi.org/10.1007/s00707-016-1768-1
  9. Heydarpour, Y., Aghdam, M.M. and Malekzadeh, P. (2014), "Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells", Compos. Struct., 117, 187-200. https://doi.org/10.1016/j.compstruct.2014.06.023
  10. Hu, H.T. and Chen, H.C. (2018), "Buckling optimization of laminated truncated conical shells subjected to external hydrostatic compression", Compos. Part B Eng., 135, 95-109. https://doi.org/10.1016/j.compositesb.2017.09.065
  11. Jam, J.E. and Kiani, Y. (2016), "Buckling of pressurized functionally graded carbon nanotube reinforced conical shells", Compos. Struct., 125, 586-595. https://doi.org/10.1016/j.compstruct.2015.02.052
  12. Kamarian, S., Salim, M., Dimitri, R. and Tornabene, F. (2016), "Free vibration analysis of CNTRC conical shells based on first-order shear deformation theory", Int. J. Mech. Sci., 108-109, 157-165. https://doi.org/10.1016/j.ijmecsci.2016.02.006
  13. Khayat, M., Poorveis, D. and Moradi, S. (2017), "Buckling analysis of functionally graded truncated conical shells under external displacement-dependent pressure", Steel Comp. Struct., Int. J., 23(1), 1-6. https://doi.org/10.12989/scs.2017.23.1.001
  14. Mehri, M., Asadi, H. and Wang, Q. (2016a), "Buckling and vibration analysis of a pressurized CNT reinforced functionally graded truncated conical shell under an axial compression using HDQ method", Comput. Methods. Appl. Mech. Eng., 303, 75-100. https://doi.org/10.1016/j.cma.2016.01.017
  15. Mehri, M., Asadi, H. and Wang, Q. (2016b), "On dynamic instability of a pressurized functionally graded carbon nanotube reinforced truncated conical shell subjected to yawed supersonic airflow", Compos. Struct., 153, 938-951. https://doi.org/10.1016/j.compstruct.2016.07.009
  16. 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
  17. Morozov, E.V., Lopatin, A.V. and Nesterov, V.A. (2011), "Buckling analysis and design of anisogrid composite lattice conical shells", Compos. Struct., 93(12), 3150-3162. https://doi.org/10.1016/j.compstruct.2011.06.015
  18. Naj, R., Boroujerdy, M.S. and Eslami, M.R. (2008), "Thermal and mechanical instability of functionally graded truncated conical shells", Thin-Wall. Struct., 46, 65-78. https://doi.org/10.1016/j.tws.2007.07.011
  19. Najafov, A.M. and Sofiyev, A.H. (2013), "The non-linear dynamics of FGM truncated conical shells surrounded by an elastic medium", Int. J. Mechan. Sci., 66, 33-44. https://doi.org/10.1016/j.ijmecsci.2012.10.006
  20. Seidi, J., Khalili, S.M.R. and Malekzadeh, K. (2015), "Temperature-dependent buckling analysis of sandwich conical shell with thin functionally graded facesheets", Compos. Struct., 131, 682-691. https://doi.org/10.1016/j.compstruct.2015.04.068
  21. Shadmehri, F., Hoa, V.S. and Hojjati, M. (2012), "Buckling of conical composite shells", Compos. Struct., 94, 787-792. https://doi.org/10.1016/j.compstruct.2011.09.016
  22. Sharghi, H., Shakouri, M. and Kouchakzadeh, M.A. (2016), "An analytical approach for buckling analysis of generally laminated conical shells under axial compression", Acta Mech., 227(4), 1181-1198. https://doi.org/10.1007/s00707-015-1549-2
  23. Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube reinforced composite plates in thermal environments", Compos. Struct., 91, 9-19. https://doi.org/10.1016/j.compstruct.2009.04.026
  24. Sofiyev, A.H. (2010), "The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler-Pasternak foundations", Int. J. Press. Vesels Pip., 87, 753-761. https://doi.org/10.1016/j.ijpvp.2010.08.012
  25. Sofiyev, A.H. (2011), "Influence of the initial imperfection on the non-linear buckling response of FGM truncated conical shells", Int. J. Mech. Sci., 53(9), 753-761. https://doi.org/10.1016/j.ijmecsci.2011.06.007
  26. Sofiyev, A.H. (2013), "On the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load", Compos. Part B Eng., 80, 53-62. https://doi.org/10.1016/j.compositesb.2015.05.032
  27. Sofiyev, A.H. and Kuruoglu, N. (2013), "Buckling analysis of nonhomogeneous orthotropic thin-walled truncated conical shells in large deformation", Thin-Wall. Struct., 62, 131-141. https://doi.org/10.1016/j.tws.2012.08.002
  28. Sofiyev, A.H. and Kuruoglu, N. (2015), "Buckling of nonhomogeneous orthotropic conical shells subjected to combined load", 19(1), 1-19. https://doi.org/10.12989/scs.2015.19.1.001
  29. Sofiyev, A.H. and Kuruoglu, N. (2016), "The stability of FGM truncated conical shells under combined axial and external mechanical loads in the framework of the shear deformation theory", Compos. Part B Eng., 92, 463-476. https://doi.org/10.1016/j.compositesb.2016.02.027
  30. Sofiyev, A.H. and Schnack, E. (2003), "The buckling of cross-ply laminated non-homogeneous orthotropic composite conical thin shells under a dynamic external pressure", Acta Mech., 162(1-4), 29-40. https://doi.org/10.1007/s00707-002-1001-2
  31. Sofiyev, A.H., Zerin, Z., Allahverdiev P.B., Hui, D., Turan, F. and Erdem, H. (2017), "The dynamic instability of FG orthotropic conical shells within the SDT", Steel Compos. Struct., Int. J., 25(5), 581-591.
  32. Topal, U. (2013), "Pareto optimum design of laminated composite truncated circular conical shells", Steel Compos. Struct., Int. J., 14(4), 397-408. https://doi.org/10.12989/scs.2013.14.4.397
  33. Torabi, J., Kiani, Y. and Eslami, M.R. (2013), "Linear thermal buckling analysis of truncated hybrid FGM conical shells", Compos. Part B Eng., 50, 265-272. https://doi.org/10.1016/j.compositesb.2013.02.025
  34. Viola, E., Rossetti, L., Fantuzzi, N. and Tornabene, F. (2014), "Static analysis of functionally graded conical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery", Compos. Struct., 112, 44-65. https://doi.org/10.1016/j.compstruct.2014.01.039
  35. Zielnica, J. (2012), "Buckling and stability of elastic-plastic sandwich conical shells", Steel Compos. Struct., Int. J., 13(2), 157-169. https://doi.org/10.12989/scs.2012.13.2.157

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