台灣位處於環太平洋地震帶，山多平原少以及亞熱帶氣候，再加上南北狹長的地形與人口高密度化。為了疏緩交通與居住問題所跨越山區而鋪設道路，及山坡地開發等所造成的人為破壞，一旦降雨及地震等種種自然環境因素，所引發的邊坡破壞問題經常造成相當嚴重的災害，邊坡穩定的工作刻不容緩。本研究以變形分析法作為探討邊坡在受地震作用下，邊坡穩定數值分析之理論基礎，並加入剪力強度折減技巧來判斷其可能破壞的滑動面位置、安全係數之變化情形。
本研究以變形分析法作為邊坡穩定數值分析之理論基礎，採用剪力強度折減法(shear strength reduction technique)之觀念來訂定合理的邊坡安全係數並判斷可能破壞滑動面位置，並以變形分析法與極限平衡法之分析結果進行討論。針對邊坡在靜態與動態下其安全係數與滑動面進行探討，本研究分析可得以下之結果：本研究方法所定出之滑動帶涵蓋整個Bishop簡化法及Janbu簡化法之滑動面，且發展趨勢較為平緩，並可看出邊坡之破壞由坡趾至坡頂漸進破壞之過程。另外經由程式輸入真實地震波之加速度歷時紀錄，模擬邊坡受震之各種力學行為，分析結果發現隨著尖峰加速度值增大，邊坡破壞之程度越嚴重，其破壞形式由平面式破壞逐漸由坡趾處發展為深層之曲面形破壞，且滑動深度較靜態下為深。

The object of this thesis is to investigate the stability of soil slope by using a numerical analysis procedure combining the deformation analysis and shear strength reduction technique, in which the stress-strain characteristic of the soil can be considered. The focus of this thesis is on the stability of soil slopes which are in the states of static and dynamic. It is important to find out the failure surface and the corresponding safety factor. It should be noticed that the critical slip surface is not unique. A narrow yielding zone was developed when the slope started to fail and any slip surface passing through the yielding zone could be the failure surface, and the corresponding safety factor was the SRF. The results of static analysis showed good agreements with limit equilibrium analysis. The plastic yield zone was developed from the toe to the top, and connected two free surfaces. To simulate the soil slope under earthquake, the acceleration histories in real time domain recorded at 921-earthquake was applied in the dynamic model. From the simulation results, the failure surface under seismic is deeper than static analysis. The shear failure zone increased with the peak ground acceleration increment, and the shear zone was started from the shallow position to the deeper zone.

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