scholarly journals Non-linear buckling analysis of functionally graded shallow spherical shells

2009 ◽  
Vol 31 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Dao Huy Bich
Keyword(s):  
External Pressure ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Governing Equations ◽  
Spherical Shells ◽  
Buckling Loads ◽  
Linear Buckling ◽  
Non Linear ◽  
Linear Buckling Analysis

In the present paper the non-linear buckling analysis of functionally graded spherical shells subjected to external pressure is investigated. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In the formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained, that allows easily to investigate stability behaviors of the shell.

scholarly journals Comparative thermal buckling analysis of functionally graded plate

2017 ◽  
Vol 21 (6 Part B) ◽  
pp. 2957-2969
Author(s):  
Dragan Cukanovic ◽  
Gordana Bogdanovic ◽  
Aleksandar Radakovic ◽  
Dragan Milosavljevic ◽  
Ljiljana Veljovic ◽  
...  
Keyword(s):  
Shear Deformation Theory ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Shape Functions ◽  
Power Law Distribution ◽  
Functionally Graded Plate ◽  
Different Types ◽  
Non Linear

A thermal buckling analysis of functionally graded thick rectangular plates accord?ing to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson?s ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numeri?cal results were obtained in ?ATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling tempera?ture for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature.

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