Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations

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


  • Vu Thi Thuy Anh Vietnam National University, Hanoi, Vietnam
  • Dao Huy Bich Vietnam National University, Hanoi, Vietnam
  • Nguyen Dinh Duc Vietnam National University, Hanoi, Vietnam



Nonlinear buckling, post-buckling, FGM annular spherical shells, mechanical loads, elastic foundations


This paper presents an analytical approach to investigate the nonlinear buckling and post-buckling of thin annular spherical shells made of functionally graded materials (FGM) and subjected to mechanical load and resting on Winkler-Pasternak type elastic foundations. Material properties are graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for annular spherical shells are derived by using the classical thin shell theory in terms of the shell deflection and the stress function. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form of load-deflection paths. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the stability of the annular spherical shells.


Download data is not yet available.






Research Article

Most read articles by the same author(s)

1 2 3 4 5 > >>