本論文主要目的在分析雙層功能梯度中空圓盤受壓入配合的設計問題，假設楊氏係數、密度和熱膨脹係數皆沿徑向呈幂次方函數變化，且將蒲松比視為常數。根據彈性力學的微小變形理論推導單層中空圓盤同時受內、外壓、旋轉與均勻溫度之應力解析解，再延伸討論雙層中空圓盤受壓入配合、壓入配合後旋轉與外層受均勻溫度影響之應力解析解，並以圖表方式探討材料非均質性對於應力場的影響。本論文套用不同材料之參數，設計雙層功能梯度中空圓盤最大接觸壓力、臨界角速度、臨界溫度和繪製壓入配合問題之損壞之包絡線。最後以破壞力學理論，預測雙層功能梯度中空圓盤之臨界裂縫長度。

The present study designs double-layered functionally graded hollow disks in press-fit problem. Young’s modulus, density and coefficient of expansion are assumed as power functions along the radial direction, while Poisson’s ratio remains constant. According to the infinitesimal theory of elasticity, the exact solutions of stress in single-layered functionally graded hollow disks under (1) internal and external pressures; (2) rotation; (3) uniform temperature are derived. Furthermore, the same conditions are also discussed in double-layered functionally graded hollow disks, and the effect of inhomogeneity on the stress field is shown with figures and tables. The failure envelope with different materials such as steel and ceramics in double-layered functionally graded hollow disks are shown. Finally, the critical crack length can be predicted by using the theory of fracture mechanics.

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