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Analyzing Thermal Stability of Circular Plates Made of FGM Bimorphs Considering The First–order Shear Deformation Theory
 
  • P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Indian Journal of Science and Technology

Year: 2015, Volume: 8, Issue: 12, Pages:

Original Article

Analyzing Thermal Stability of Circular Plates Made of FGM Bimorphs Considering The First–order Shear Deformation Theory

Abstract

In the present study the exact solution of thermal buckling of circular plates made of Functionally Graded Materials (FGMs) bimorphs under uniform thermal loading with regard to the first-order shear deformation theory and nonlinear asymmetrical Von Karman assumptions was provided under clamped and simply supported conditions. Properties of the FGM compared to the middle surface of the asymmetrical plate and in term of the power law changes in line with thickness. In a way that the middle surface of the circular plate is pure metal and the margins are made of pure ceramic. Using the energy method, asymmetrical equation of equilibrium was extracted and the stability equations were used by the adjacent equilibrium method and adjacent to determine the critical buckling temperature and a closed-form solution finally was achieved. The impact of different factors including rate of thickness variations to the plate radius, volume fraction index, variation of materials percentage and the impact of the Poisson’s ratio on the critical temperature were assessed. The results were compared with the classical theory and the existing research. 

Keywords: Circular Plate, First-Order Shear Deformation Theory, Functionally Graded Materials,Thermal Buckling

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