| Summary: | 碩士 === 國立臺灣科技大學 === 營建工程系 === 96 === This paper investigates the mechanical behavior of functionally graded circular plates or rings subjected to external loads. The Poisson’s ratios of the functionally graded material (FGM) plates or rings are assumed to be constant, but their Young’s moduli vary continuously throughout the radial direction according to the volume fraction of constituents defined by power-law function. Based on the theory of elasticity and the classical plate theory, the governing equations are obtained by deriving the relation among deflection, strain and stress fields. Three main cases will be discussed in this thesis. (1) The mechanical behavior of the circular FGM plates with clamped edge under transverse uniform load or radial uniform load is investigated. (2) The mechanical behavior of FGM rings with simply supported edges subjected to transverse uniform load or radial uniform load is studied. (3) The undercoated hollow FGM plates or rings, which have simply supported edges, with transverse uniform load or radial uniform load is discussed. The analytical solutions are compared with the numerical solutions by MARC software of finite element method. The results show that for FGM plates with the Young’s modulus as the function of radius, the stresses of FGM plates subjected to radial loads vary with the distribution of the Young’s modulus; the stresses of FGM plates under transverse loads depend on the strains.
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