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
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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.
Keywordsnonlinear 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.
- 19.N. D. Khoa, H. T. Thiem, and N. D. Duc, “Nonlinear buckling and postbuckling of imperfect piezoelectric S-FGM circular cylindrical shells with metal-ceramic-metal layers in thermal environment using Reddy’s third-order shear deformation shell theory,” J. Mech. Adv. Mater. Struct., (2017). https://doi.org/10.1080/15376494.2017.1341583 CrossRefGoogle Scholar
- 22.A. H. Sofiyev, Z. Zerin, B. P. Allahverdiev, D. Hui, F. Turan, and H. Erdem, “The dynamic instability of FG orthotropic conical shells within the SDT,” Steel and Compos. Struct., 25, No. 5, 581-591 (2017).Google Scholar
- 26.D. V. Dung, and P. M. Vuong, “Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads,” Appl. Mathematics and Mechanics (English Edition), 37, No. 7, 835-860 (2016).CrossRefGoogle Scholar