本文探討含邊緣脫層正交性材料樑問題中，相異材料界面下之破壞力學參數，包含應變能釋放率與開口端位移。以Timoshenko’s樑理論，假設彈性基底，加入正向彈簧與剪切彈簧的效應，獲得彈性基底之應力六階微分方程，利用邊界條件及連續條件求解出混合模式彎矩問題中彈性基底之應力，透過彈簧中應力與位移之關係進一步得到裂紋開口位移量，接著利用虛擬裂紋閉合理論推導出模式一與模式二之應變能釋放率，將理論結果與有限元素法之應變釋放率相互驗證比較以確認解析解的正確性。本文另一重點為透過已知裂紋開口端位移量預估裂紋長度，考慮幾種不同負載與材料尺寸下理論結果與有限元素法比較，發現可獲得良好的預估結果，未來可將此理論應用於界面疲勞脫層成長實驗上。

The problem of a double cantilever beam consists of two dissimilar orthotropic materials under mixed-mode bending is considered in this thesis. The fracture mechanics parameters including the strain energy release rate and the crack mouth opening displacement are obtained by using a Timoshenko beam theory based model. Six differential equations derived from equilibrium are used in combination with boundary and continuity conditions to determine the interfacial stress and displacement solutions. The strain energy release rate for the interface crack is determined by using virtual crack closure integrals. The relationship between the crack length and the crack mouth displacement are also obtained. The analytical solutions are verified by comparing to finite element solutions for selected cases of isotropic and orthotropic beams.

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