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Finite element analysis for the buckling of functionally graded material plates based on physical neutral surface |
Received:September 15, 2019 Revised:April 30, 2020 |
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DOI:10.7511/jslx20190915001 |
KeyWord:physical neutral surface FGM thin plate buckling finite element method transformation relation |
Author | Institution |
孙云 |
扬州大学 建筑科学与工程学院, 扬州 |
陈江 |
扬州大学 建筑科学与工程学院, 扬州 |
李世荣 |
扬州大学 建筑科学与工程学院, 扬州 |
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Abstract: |
This paper presents the analysis of the buckling of the FGM(Functionally Graded Materials) thin plates based on the physical neutral surface.Based on the principle of minimum potential energy,the finite element forms of the governing equations are derived and then the critical buckling load is determined.Considering the similarity between the buckling equation of the FGM plate and that of the reference uniform plate,the relationship between the critical load of the FGM plate and that of the reference uniform plate is established.Then the calculation of the critical load of the FGM plate is transformed into the calculation of the critical load of the reference uniform plate and the inhomogeneity coefficient of the material.This work can greatly improve the computational efficiency and plays an active role in the promotion of the FGM.The results obtained by the finite element method and the transformation relation are compared.The effect of the boundary condition,load condition,material component and geometry on the critical load is also discussed. |