邊坡破壞為台灣主要地質災害之一，對於邊坡穩定性問題，目前以極限平衡法為最常使用之分析方法，考慮材料強度為主要因素，以最可能發生破壞面所對應之安全係數來定義邊坡的穩定性，但未考慮材料之彈性變形，破壞時則發生完全剪力破壞。此方法對於動態邊坡的處理上，僅對尖峰加速度所產生之應力進行評估，無法完整模擬真實地震波的作用情形。而變形分析法雖然無法計算邊坡之安全係數，但可考慮材料應力及應變性質與複雜的材料彈塑性行為，對於動態邊坡的處理上，可完整模擬地震波施加過程中應力與應變之大小及分布，並分析最容易發生破壞及最需補強的地方。本研究利用變形分析法以上優勢，但為了補足無法求取安全係數之缺陷，因此採用剪力強度折減法配合變形分析法，求取邊坡安全係數與可能破壞的位置，並以本方法與極限平衡法之分析結果進行討論。
在邊坡範例驗證上，本研究針對不同坡度之邊坡，進行靜態與動態之分析。結果顯示，邊坡角度越大，安全係數將隨著坡角增大而下降；若遇相同規模之地震，則坡角越大其安全係數越小。在實際案例分析上，以兩個分別位於高雄縣甲仙鄉小林村與寶隆村之邊坡進行討論。由安全係數的變化可知，對於小林村邊坡之穩定性，莫拉克颱風的影響大於曾文越域引水隧道鑽炸工程影響。寶隆村邊坡於一般狀況和莫拉克颱風來襲時，皆處於穩定狀態；但若遇到六級以上地震或同時遇到莫拉克颱風及六級以上地震，此邊坡將有崩塌之虞。

Landslides are serious geological hazards in Taiwan. The limit equilibrium method (LEM) is usually used in the stability analysis of soil slopes, which are measured by the factor of safety (FS) of the failure surface, but this approach does not consider the material elastic deformation, and it only assesses the peak acceleration. In contrast, the factor of safety cannot be calculated by the deformation analysis method, but the stress-strain character of the soil mass and acceleration can be considered. Thus, this research combines the deformation analysis method with the shear strength reduction method to get the factor of safety and the critical slip surface of a slope. It also compares the results of this method with those from the limit equilibrium method.
In the numerical verify, the factor of safety increases when the angle of the slope decreases. If the slopes are hit by the same earthquake, the factor of safety decreases when the angle of the slope increases. Two cases from Kaohsiung country in Taiwan are used as the case analysis. In case one, the result shows that the effect of typhoon Morakot is more than the effect of the blast with regard to interbasin transfer. In case two, the slope is examined when it is hit by typoon Morakot, or by typhoon Morakot and an earthquake that is six on the Richter scale at the same time.

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