Abstract
I investigate the vibration and buckling analysis of functionally graded material (FGM) structures, using a modified 8-node shell element. The properties of FGM vary continuously through the thickness direction according to the volume fraction of constituents defined by sigmoid function. The modified 8-ANS shell element has been employed to study the effect of power law index on dynamic analysis of FGM plates with various boundary conditions and buckling analysis under combined loads, and interaction curves of FGM plates are carried out. To overcome shear and membrane locking problems, the assumed natural strain method is employed. In order to validate and compare the finite element numerical solutions, the reference results of plates based on Navier’s method, the series solutions of sigmoid FGM (S-FGM) plates are compared. Results of the present study show good agreement with the reference results. The solutions of vibration and buckling analysis are numerically illustrated in a number of tables and figures to show the influence of power law index, side-to-thickness ratio, aspect ratio, types of loads, and boundary conditions in FGM structures. This work is relevant to the simulation of wing surfaces, aircrafts, and box structures under various boundary conditions and loadings.
Highlights
Graded material (FGM) is a special kind of composites in which the material properties vary continuously and smoothly from one surface to the other
The results confirm that power law index has significant effect on the dynamic response of Functionally graded material (FGM) plates: π
The natural frequency and buckling response have been studied for FGM plates
Summary
Graded material (FGM) is a special kind of composites in which the material properties vary continuously and smoothly from one surface to the other. Han et al [14] presented modified 8-ANS shell element using the new interpolation functions and combination of sampling points for the assumed natural strain. A few literatures have been found on the dynamic analysis of FGM plates with various boundary conditions and structural stability analysis under combined compressive, tensile, and shear loads. In the present work modified 8-ANS shell element has been employed to study the effect of power law index on dynamic analysis of FGM plates with various boundary conditions and buckling analysis under combined compressive, tensile, and shear loads. The solutions of vibration and buckling analysis are numerically illustrated in a number of tables and figures to show the influence of power law index, side-tothickness ratio, aspect ratio, types of loads, and boundary conditions in FGM structures
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