本研究主要在開發高效率的大地工程的有限元素分析步驟，而提出的新分析步驟，在此稱為「網格演化有限元素分析法」。傳統上，以有限元素進行大地工程上開挖之模擬時乃以單一網格考慮各開挖階段幾何形狀之邊界，而網格的產生需要通過所有的幾何邊界，因此造成網格產生十分困難而必須使用相當微小的分割，也因此產生大量的自由度量並需要龐大的計算能力才能求解。此新方法提出網格建置的新思維，以網格演化的方式模擬開挖時之幾何形狀連續變動，進而降低自由度量並減少不必要的計算資源浪費。應用於三維度有限元素分析上，更能減少因龐大自由度量所需的時間。本研究以C++程式語言自行撰寫新方法之解映射程式，並與ABAQUS有限元素分析軟體配合以實現此分析步驟，最後並以大地工程開挖為例，比較了此方法與用傳統分析方法分析之結果，以驗證了此方法之正確性並評估網格演化法之效能與效益。根據所選定之案例，本研究預估出一三維度隧道分析所需的時間約為傳統方法的25%。本研究並開發一後處理程式以追蹤各階段特定節點應力及位移變化之結果。

A new analysis technique “evolving mesh method” is developed for high-performance finite element analyses in geomechanics. Conventional finite element analyses for excavations or tunnels use a single mesh to consider multi-stage excavations, and require multiple geometric boundaries to be considered during meshing. These geometric boundaries can become a huge constraint during mesh generation for complex excavation sequeunces, and may result in great number of unknowns that need to be solved simultaneously. The evolving mesh method, on the other hand, considers each excavation stage separately, and creates meshes for each excavation step. As a result, mesh generation can be greatly simplified, and a significant reduction of degrees of freedom and solution time can be achieved for 3D　analyses or excavations with complex sequences.
The evolving mesh method consists of two phases: mesh-to-mesh solution mapping and finite element calculation. The solution mapping is programmed by the author using object oriented language C++, and finite element solution is done with commercial finite element code: ABAQUS. A post-processing program is also made in order to obtain total displacements and stresses for specific nodes between different meshes.
The proposed evolving mesh method is validated by comparing its calculation results with conventional finite element calculations, and its performance is evaluated by case studies. It is found the evolving mesh method yields satisfactory computation accuracy. For the selected three-dimensional tunneling simulation, it is predicted that the evolving mesh method can reduce the computation time by 75% compared with the conventional finite element analyses.

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