非等向應力場隧道前進開挖引致地盤反應行為之外顯分析

Explicit Analysis for the Ground Response Behavior due to the Advanced Excavation of Tunnel under Anisotropic Stress Field

李煜舲(Yu-Lin Lee) ； 蔡禮鍵(Li-Jian Tsai) ； 李文元(Wen-Yuan Lee)

《中國土木水利工程學刊》 25卷3期 (2013/09) Pp. 231-240

https://doi.org/10.6652/JoCICHE.201309_25(3).0005

摘要

本研究主要目的是建立非等向應力場圓形深隧道前進開挖引致圍岩非線性行為反應之解析解，並採用收斂約束法和約束損失原理，提出以試算表為計算分析工具之外顯分析法。研究內容包含：以約束損失之增量方式代入所推導非等向應力場的解析解方程、建立模擬隧道前進開挖的直接運算邏輯與流程、試算表之執行計算與繪圖，以及探討隧道開挖面上的彈塑性區、地盤反應曲線、應力路徑、隧道橫剖面應力／位移的分布等。經由外顯分析法與有限元素法之分析結果顯示，兩者呈現一致的分布趨勢，而且外顯分析法可以成為一種模擬隧道前進開挖引致圍岩反應行為的有效分析方法。

關鍵字

隧道前進開挖 ； 非等向應力場 ； 收斂約束法 ； 外顯分析

並列摘要

The purpose of this research is that the analytical solutions of nonlinear behaviour of ground in a deep circular tunnel under anisotropic stress field are derived, and the explicit analysis method (EAM) which bases on the convergence confinement method, the principle of convergence loss, and the simple calculation spreadsheet is particularly proposed. This study includes that introducing a incremental procedure of confinement loss into the analytical solutions derived under anisotropic stress field, establishing the direct calculation logic and flow chart, using a calculation spreadsheet to simply calculate and draw figures, considering the stress path and ground response curve at excavation face, and distribution of stress/displacement around tunnel. The results obtained by the explicit analysis and by the finite element analysis are approximately consistent in those curves described in the convergence-confinement method. The explicit analysis method proposed is easy and directly to simulate the ground response behaviour due to the advanced excavation of tunnel.

並列關鍵字

tunnel advanced excavation ； anisotropic stress field ； convergence-confinement method ； explicit analysis