本文探討含邊緣脫層之疊層複合樑問題中，非等向性界面裂紋受混合模式負載下裂紋之破壞力學參數，包含應變能釋放率及相位角。以混合模式彎矩問題為基礎，將雙懸臂樑分為二個獨立的模式一與模式二問題，其中考慮彈性基底修正以及剪切效應的影響，求得模式一與模式二問題的裂紋開口位移量及撓度，並藉由破壞力學理論推導出一組與裂紋長度無關之應變能釋放率解析解以及相位角與外部負載的關係。將理論計算結果與有限元素法配合虛擬裂紋閉合理論所得到之二維界面裂紋問題應變能釋放率相互驗證比較，確認解析解的準確性。最後，利用相位角與外部之力之比值得到固定相位角下的邊界條件，模擬疲勞裂紋成長實驗在固定相位角下的反應，藉此提出一套量測界面疲勞裂紋脫層成長行為的量測方法。

The problem of an orthotropic double cantilever beam (DCB) under mixed-moded loading is studied in this thesis. The fracture mechanics parameters including the strain energy release rate and the stress intensity factors for the crack tip is solved by using beam on elastic foundation theory with the modification to consider shear effect by using Lekhnitskii’s anisotropic stress potential. In addition, the relationship between compliance and crack length is also derived. The strain energy release rate and the phase angle are obtained as a function of the DCB’s compliance. The analytical solutions are verified by comparing to finite element solutions for cases of homogeneous and multilayered orthotropic beam. Based on the analytical solutions obtained in this study, an experimental setup is proposed for characterizing the fatigue growth rate of the DCB crack under mixed-moded loading with a constant phase angle, which is achieved by continuously varying the loading ratio on the cantilever arms according to the DCB compliance reading.

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