Nonlinear stability of thin FGM annular spherical segment in thermal environment

Vu Thi Thuy Anh, Dao Huy Bich, Nguyen Dinh Duc
Author affiliations

Authors

  • Vu Thi Thuy Anh Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
  • Dao Huy Bich Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
  • Nguyen Dinh Duc Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/37/4/5962

Keywords:

Nonlinear buckling and post-buckling, FGM annular spherical segment, elastic foundations, external pressure, thermal environment

Abstract

The nonlinear stability of functionally graded material (FGM) annular spherical segment resting on elastic foundations in thermal environment is studied analytically. Based on the classical thin shell theory, the governing equations are derived. Approximate solutions are assumed to satisfy the simply supported boundary condition and Galerkin method is applied to obtain closed-form relations of bifurcation type of buckling and post-buckling loads. In the present research an analysis is carried out to show the effects of material, geometrical properties, elastic foundations and combination of external pressure and temperature on the nonlinear stability of the shell.

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Published

26-11-2015

Issue

Section

Research Article