本研究針對砂岩石材及 PMMA 板材切割成矩形塊試體，以單軸抗壓實驗求取砂岩及PMMA 板材在不同預製裂縫角度之斷裂韌度及破壞機制，在試驗過程中使用裂紋量測系統量測裂紋擴展速度。本研究並以有限元素法軟體ABAQUS 驗證不同角度下應力強度因子的計算結果，將其數值解與解析解結果進行比較。
研究結果顯示：(1)在兩種材料裂紋擴展形式中可發現在加壓過程中試體先有翼裂紋及反翼裂紋擴展，而後才有次生裂紋的產生。(2)砂岩試體預製裂縫角度越大，最大應力隨之增大；裂紋擴展角則越小；裂紋擴展速度越快，破壞機制為KI 與KII 之複合形式破壞。(3)PMMA 試體預製裂縫角度越大，最大應力值無明顯變化；裂紋擴展角則越大；裂紋擴展速度越慢，破壞機制為KI 與KII 之複合形式破壞。(4)以ABAQUS 軟體模擬預製複合型裂紋施加荷重之單軸抗壓試驗，所得之斷裂韌度數值解與Kitagawa 所得之解比較結果部份，誤差在4.35%之內。

This study proposes to observe the fracture propagation in a plate sample containing an inclined crack under a uniaxial compression test. Two different
materials: sandstone and PMMA, were investigated. A crack measuring system was also deployed to measure the velocity of crack growth. A finite element package, ABAQUS, was used in this study to calculate the fracture toughness of the cracked samples.
The findings of this study are: (1) On the observation of the crack growth of the sample, the wing crack is formed first and then followed by the anti-wing crack. (2) For sandstone samples, higher pre-crack angles lead to
higher ultimate stress, lower angle of crack growth and higher velocity of crack growth. The mixed mode of fracture, KI and KII , is observed in the test. (3) For PMMA samples, higher pre-crack angles do not significantly affect the ultimate stress while higher angles of crack growth lead to lower velocity of crack growth. The mixed mode of fracture, KI and KII, is observed in the test. (4) Numerical results of fracture toughness obtained from ABAQUS are compared with Kitegawa’s solutions. The discrepency between the numerical solutions and Kitegawa’s solutions is under 4.35 %.

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