在工程環境中，一個結構物在外力作用下，斷成兩半或是許多塊是一個極為普通之現象。結構物產生破壞的前兆，大多是由結構物組成之材料內的微小裂縫造成。斷裂力學的研究即是針對含有裂紋之構件進行固體力學分析，計算應力強度因子進而決定材料之斷裂韌度為其重要的研究環節。
本研究根據帥玉康(2008)之平板彎曲試驗，周威霆(2012)之邊緣裂縫石膏圓盤試驗，以及石秉儒(2018)之四點彎曲試驗進行有限元素分析，並利用模擬軟體ABAQUS計算III型應力強度因子。
本研究利用ABAQUS之Contour integral進行平板彎曲試驗模擬並與其公式解及ANSYS數值解比較與誤差計算；對於邊緣裂縫石膏圓盤試驗模擬以及四點彎曲試驗模擬皆以Contour integral與XFEM二種方法進行裂縫設定並進行分析與誤差計算。研究結果顯示，平板彎曲試驗模擬中，ABAQUS計算之KIII值相較於ANSYS之值更為接近解析解，誤差大約落於1%左右。在邊緣裂縫石膏圓盤試驗模擬與四點彎曲試驗模擬中，Contour integral與XFEM計算之結果接近但略有5%差異。
關鍵字：應力強度因子、ABAQUS、有限元素分析、Contour integral、XFEM。

In the engineering environment, destruction of structures could be caused by the growth of tiny cracks inside the material. The study of fracture mechanics is the analysis of mechanical response at the crack tip of the material under various types of loadings. The evaluation of stress intensity factors for a cracked material is fundamentally important for the determination of the fracture toughness of the material.
The experimental loading records and material parameters of the models including Young's modulus and Poisson's ratio were adopted from previous studies of Shuai (2008), Chou (2012), and Shih (2018). In this study, these numerical models were established by ABAQUS from which the mode III stress intensity factors can be calculated.
Two methods of crack setting including contour integral method and extended finite element method (XFEM) were applied in the analysis when only one crack was presented in the model such as the edged crack disk test and the four-point bending test. However, only contour integral method was applied in the plate bending test because XFEM was not available for problems of multiple cracks. Element selections and meshing were also discussed in this study.
This study compares the simulation results of the mode III stress intensity factors from ABAQUS with the results from previous studies. The discrepancy of these results based on contour integral and XFEM methods were also assessed in the study.
Keywords: stress intensity factors, ABAQUS, Finite element analysis (FEA), contour integral, XFEM.

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