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Meccanica

, Volume 54, Issue 1–2, pp 283–297 | Cite as

Thermal buckling and postbuckling behavior of FG-GRC laminated cylindrical shells with temperature-dependent material properties

  • Hui-Shen ShenEmail author
  • Y. Xiang
Article
  • 76 Downloads

Abstract

Thermal postbuckling analysis is presented for graphene-reinforced composite (GRC) laminated cylindrical shells under a uniform temperature field. The GRC layers are arranged in a functionally graded (FG) graphene reinforcement pattern by varying the graphene volume fraction in each GRC layer. The GRCs possess temperature dependent and anisotropic material properties and the extended Halpin–Tsai model is employed to evaluate the GRC material properties. The governing equations are based on a higher order shear deformation shell theory and include the von Kármán-type kinematic nonlinearity and the thermal effects. A singular perturbation method in conjunction with a two-step perturbation approach is applied to determine the thermal postbuckling equilibrium path for a GRC shell with or without geometric imperfection. An iterative scheme is developed to obtain numerical thermal buckling temperatures and thermal postbuckling load–deflection curves for the shells. The results reveal that the FG-X piece-wise FG graphene distribution can enhance the thermal postbuckling capacity of the shells when the shells are subjected to a uniform temperature loading.

Keywords

Cylindrical shell Thermal postbuckling Nanocomposites Functionally graded materials Temperature-dependent material properties 

Notes

Acknowledgements

The supports for this work, provided by the National Natural Science Foundation of China (NSFC) Grant 51779138, and the Australian Research Council (ARC) Grant DP140104156 are gratefully acknowledged.

Compliance with ethical standards

Conflict of interest

The authors declare that there are no conflicts of interests with publication of this work.

References

  1. 1.
    Shen H-S (2004) Thermal postbuckling behavior of functionally graded cylindrical shells with temperature-dependent properties. Int J Solids Struct 41:1961–1974CrossRefzbMATHGoogle Scholar
  2. 2.
    Shen H-S (2007) Thermal postbuckling of shear deformable FGM cylindrical shells with temperature-dependent properties. Mech Adv Mater Struct 14:439–452CrossRefGoogle Scholar
  3. 3.
    Shen H-S (2013) Thermal postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium. J Eng Mech ASCE 139:979–991CrossRefGoogle Scholar
  4. 4.
    Mirzavand B, Eslami MR (2008) Thermoelastic stability analysis of imperfect functionally graded cylindrical shells. J Mech Mater Struct 3:1561–1572CrossRefGoogle Scholar
  5. 5.
    Sofiyev AH (2011) Thermal buckling of FGM shells resting on a two-parameter elastic foundation. Thin-Walled Struct 49:1304–1311CrossRefGoogle Scholar
  6. 6.
    Bagherizadeh E, Kiani Y, Eslami MR (2012) Thermal buckling of functionally graded material cylindrical shells on elastic foundation. AIAA J 50:500–503ADSCrossRefGoogle Scholar
  7. 7.
    Shariyat M, Asgari D (2013) Nonlinear thermal buckling and postbuckling analyses of imperfect variable thickness temperature-dependent bidirectional functionally graded cylindrical shells. Int J Press Vessels Pip 111:310–320CrossRefGoogle Scholar
  8. 8.
    Boroujerdy MS, Naj R, Kiani Y (2014) Buckling of heated temperature dependent FGM cylindrical shell surrounded by elastic medium. J Theor Appl Mech 52:869–881Google Scholar
  9. 9.
    Akbari M, Kiani Y, Eslami MR (2015) Thermal buckling of temperature-dependent FGM conical shells with arbitrary edge supports. Acta Mech 226:897–915MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Sofiyev AH, Zerin Z, Kuruoglu N (2017) Thermoelastic buckling of FGM conical shells under non-linear temperature rise in the framework of the shear deformation theory. Compos Part B Eng 108:279–290CrossRefGoogle Scholar
  11. 11.
    Trabelsi S, Frikha A, Zghal S, Dammak F (2018) Thermal post-buckling analysis of functionally graded material structures using a modified FSDT. Int J Mech Sci 144:74–89CrossRefGoogle Scholar
  12. 12.
    Shen H-S (2012) Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells. Compos Part B-Eng 43:1030–1038CrossRefGoogle Scholar
  13. 13.
    Mirzaei M, Kiani Y (2015) Thermal buckling of temperature dependent FG-CNT reinforced composite conical shells. Aerosp Sci Technol 47:42–53CrossRefzbMATHGoogle Scholar
  14. 14.
    Duc ND, Cong PH, Tuan ND, Tran P, Thanh NV (2017) Thermal and mechanical stability of functionally graded carbon nanotubes (FG CNT)-reinforced composite truncated conical shells surrounded by the elastic foundations. Thin-Walled Struct 115:300–310CrossRefGoogle Scholar
  15. 15.
    Ni Z, Bu H, Zou M, Yi H, Bi K, Chen Y (2010) Anisotropic mechanical properties of graphene sheets from molecular dynamics. Phys B 405:1301–1306ADSCrossRefGoogle Scholar
  16. 16.
    Reddy CD, Rajendran S, Liew KM (2006) Equilibrium configuration and elastic properties of finite graphene. Nanotechnology 17:864–870ADSCrossRefGoogle Scholar
  17. 17.
    Shen L, Shen H-S, Zhang C-L (2010) Temperature-dependent elastic properties of single layer graphene sheets. Mater Des 31:4445–4449CrossRefGoogle Scholar
  18. 18.
    Giannopoulos GI, Kallivokas IG (2014) Mechanical properties of graphene based nanocomposites incorporating a hybrid interphase. Finite Elem Anal Des 90:31–40CrossRefGoogle Scholar
  19. 19.
    Zhao X, Zhang Q, Hao Y, Li Y, Fang Y, Chen D (2010) Alternate multilayer films of poly(vinyl alcohol) and exfoliated graphene oxide fabricated via a facial Layer-by-Layer assembly. Macromolecules 43:9411–9416ADSCrossRefGoogle Scholar
  20. 20.
    Liang Q, Yao X, Wang W, Liu Y, Wong CP (2011) A three-dimensional vertically aligned functionalized multilayer graphene architecture: an approach for graphene-based thermal interfacial materials. ACS Nano 5:2392–2401CrossRefGoogle Scholar
  21. 21.
    Rafiee MA, Rafiee J, Wang Z, Song H, Yu Z-Z, Koratkar N (2009) Enhanced mechanical properties of nanocomposites at low graphene content. ACS Nano 3:3884–3890CrossRefGoogle Scholar
  22. 22.
    Milani MA, González D, Quijada R, Basso NRS, Cerrada ML, Azambuja DS, Galland GB (2013) Polypropylene/graphene nanosheet nanocomposites by in situ polymerization: synthesis, characterization and fundamental properties. Compos Sci Technol 84:1–7CrossRefGoogle Scholar
  23. 23.
    Putz KW, Compton OC, Palmeri MJ, Nguyen ST, Brinson LC (2010) High-nanofiller-content graphene oxide-polymer nanocomposites via vacuum-assisted self-assembly. Adv Funct Mater 20:3322–3329CrossRefGoogle Scholar
  24. 24.
    Shen H-S, Xiang Y, Lin F (2017) Thermal buckling and postbuckling of functionally graded graphene-reinforced composite laminated plates resting on elastic foundations. Thin-Walled Struct 118:229–237CrossRefGoogle Scholar
  25. 25.
    Wu H, Kitipornchai S, Yang J (2017) Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates. Mater Des 132:430–441CrossRefGoogle Scholar
  26. 26.
    Sahmani S, Aghdam MM (2017) Axial postbuckling analysis of multilayer functionally graded composite nanoplates reinforced with GPLs based on nonlocal strain gradient theory. Euro Phys J Plus 132:490CrossRefGoogle Scholar
  27. 27.
    Gholami R, Ansari R (2018) Nonlinear harmonically excited vibration of third-order shear deformable functionally graded graphene platelet-reinforced composite rectangular plates. Eng Struct 156:197–209CrossRefGoogle Scholar
  28. 28.
    Wang Y, Feng C, Zhao Z, Lu F, Yang J (2018) Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout. Compos Struct 197:72–79CrossRefGoogle Scholar
  29. 29.
    Yang Z, Yang J, Liu A, Fu J (2018) Nonlinear in-plane instability of functionally graded multilayer graphene reinforced composite shallow arches. Compos Struct 204:301–312CrossRefGoogle Scholar
  30. 30.
    Mirzaei M, Kiani Y (2017) Isogeometric thermal buckling analysis of temperature dependent FG graphene reinforced laminated plates using NURBS formulation. Compos Struct 180:606–616CrossRefGoogle Scholar
  31. 31.
    Kiani Y (2018) NURBS-based isogeometric thermal postbuckling analysis of temperature dependent graphene reinforced composite laminated plates. Thin-Walled Struct 125:211–219CrossRefGoogle Scholar
  32. 32.
    Kiani Y, Mirzaei M (2018) Enhancement of non-linear thermal stability of temperature dependent laminated beams with graphene reinforcements. Compos Struct 186:114–122CrossRefGoogle Scholar
  33. 33.
    Shen H-S (2011) Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, part I: axially-loaded shells. Compos Struct 93:2096–2108CrossRefGoogle Scholar
  34. 34.
    García-Macías E, Rodríguez-Tembleque L, Sáez A (2018) Bending and free vibration analysis of functionally graded graphene vs. carbon nanotube reinforced composite plates. Compos Struct 186:123–138CrossRefGoogle Scholar
  35. 35.
    Sperling LH (2006) Introduction to physical polymer science, 4th edn. Wiley, HobokenGoogle Scholar
  36. 36.
    Halpin JC, Kardos JL (1976) The Halpin–Tsai equations: a review. Polym Eng Sci 16:344–352CrossRefGoogle Scholar
  37. 37.
    Hu K, Kulkarni DD, Choi I, Tsukruk VV (2014) Graphene-polymer nanocomposites for structural and functional applications. Prog Polym Sci 39:1934–1972CrossRefGoogle Scholar
  38. 38.
    Lin F, Xiang Y, Shen H-S (2017) Temperature dependent mechanical properties of graphene reinforced polymer nanocomposites—a molecular dynamics simulation. Compos Part B-Eng 111:261–269CrossRefGoogle Scholar
  39. 39.
    Reddy JN, Liu CF (1985) A higher-order shear deformation theory of laminated elastic shells. Int J Eng Sci 23:319–330CrossRefzbMATHGoogle Scholar
  40. 40.
    Shen H-S (2017) Postbuckling behavior of plates and shells. World Scientific Publishing Co. Pte. Ltd., SingaporeCrossRefGoogle Scholar
  41. 41.
    Bushnell D, Smith S (1971) Stress and buckling of nonuniformly heated cylindrical and conical shells. AIAA J 9:2314–2321ADSCrossRefGoogle Scholar
  42. 42.
    Shen H-S (2013) A two-step perturbation method in nonlinear analysis of beams, plates and shells. Wiley, New YorkCrossRefzbMATHGoogle Scholar
  43. 43.
    Shen H-S (2001) Thermal postbuckling behavior of imperfect shear deformable laminated plates with temperature-dependent properties. Comput Methods Appl Mech Eng 190:5377–5390ADSCrossRefzbMATHGoogle Scholar
  44. 44.
    Asadi H, Kiani Y, Aghdam MM, Shakeri M (2016) Enhanced thermal buckling of laminated composite cylindrical shells with shape memory alloy. J Compos Mater 50:243–256CrossRefGoogle Scholar
  45. 45.
    Shen H-S (2008) Thermal postbuckling behavior of anisotropic laminated cylindrical shells with temperature-dependent properties. AIAA J 46:185–193ADSCrossRefGoogle Scholar
  46. 46.
    Shen H-S (1997) Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis. Appl Math Mech 18:1137–1152CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.School of Aeronautics and AstronauticsShanghai Jiao Tong UniversityShanghaiPeople’s Republic of China
  2. 2.School of Ocean and Civil EngineeringShanghai Jiao Tong UniversityShanghaiPeople’s Republic of China
  3. 3.School of Computing, Engineering and MathematicsWestern Sydney UniversityPenrithAustralia

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