, 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


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.


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



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.


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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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