Mechanics of Composite Materials

, Volume 55, Issue 4, pp 467–482 | Cite as

Nonlinear Buckling and Postbuckling of a FGM Toroidal Shell Segment Under a Torsional Load in a Thermal Environment Within Reddy’s Third-Order Shear Deformation Shell Theory

  • Pham Minh Vuong
  • Nguyen Dinh DucEmail author

The nonlinear buckling and postbuckling of FGM toroidal shell segments surrounded by elastic foundations in a thermal environment and subjected to a torsional load are investigated by an analytical method. Based on Reddy’s third-order shear deformation shell theory (TSDT) with geometrical nonlinearity in the von Karman sense, the governing equations are derived. Using the Galerkin method and a stress function, closed-form expressions for determining the critical torsional load and postbuckling load–deflection curves are obtained. Effects of the geometrical shape, material properties, temperature field, and foundation parameters on the stability of the shells are examined in detail.


nonlinear buckling and postbuckling FGM toroidal segment torsional load Reddy’s third-order shear deformation shell theory thermal environment 



This research was funded by the National University of Civil Engineering under Grant No. 216-2018 / KHXD. The authors are grateful for this support.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Civil and IndustrialNational University of Civil EngineeringHanoiVietnam
  2. 2.VNU Hanoi – University of ScienceHanoiVietnam
  3. 3.Advanced Materials and Structures LaboratoryVNU Hanoi -University of Engineering and TechnologyHanoiVietnam
  4. 4.Department of Civil and Environmental EngineeringSejong UniversitySeoulSouth Korea
  5. 5.Infrastructure Engineering Program -VNU-HanoiVietnam-Japan University (VJU)HanoiVietnam

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