【正文】 煤巖體穩(wěn)定性；二維彈性問題； 間接邊界元法； 直接邊界元法； ABSTRACT The finite element method was the only way to well solve the plex nonlinear behavior of coal and rock mass and geological discontinuity among all the mathematical simulation methods. During recent ten years, as a simple and highefficient numerical method, boundary element method has been developed greatly, which provides an alternative method to deal with coal and rock mass mechanics and shows its specialty in dealing with the plex nonlinear element. The stability of coal roadway influenced by crustal stress is great. Analysis the stability of the coal rock under different crustal stress distribution of coal mining has great engineering significance and guiding role. This paper first introduces the development of the boundary element and the basic principle. Then it uses the boundary element method. Coal rock is calculated under the different insitu stress distribution of displacement field, stress field distribution and its evolution regularity. Calculation shows that in crustal stress and the 45176。 angle direction roadway excavation of deep coal strata. Key words: boundary element method。 twodimensional elastic problems。 direct boundary element method 目 錄 1 邊界元發(fā)展概況 .............................................................................................................................................. 1 發(fā)展歷史 .............................................................................................................................................. 1 萌芽與奠基期 ( 1950— 1978 ) ........................................................................................... 2 方法完善與初步應用期 ( 1978— 1990 ) ............................................................................. 3 理論完善與廣泛應用期 (1990 至今 ) ...................................................................................... 5 我國邊界元法研究概況 ...................................................................................................................... 5 巖體工程中邊界元的發(fā)展 .................................................................................................................. 6 2 邊界元法基礎 .................................................................................................................................................. 8 概述 ...................................................................................................................................................... 8 邊界積分方程的建立 ............................................................................................................... 8 對于一般問題的推廣 ............................................................................................................. 10 Betti 定理、 Kelvin 解及 Somigliana 等式 ....................................................................11 本章小結 ............................................................................................................................................ 13 3 幾種常見的邊界元方法 .............................................................................................................................. 14 幾種常見的問題 ................................................................................................................................. 14 半平面問題 ............................................................................................................................. 14 Flamant 問題 ......................................................................................................................... 16 幾種常見的方法 ................................................................................................................................. 18 位勢問題的邊界元法簡介 ..................................................................................................... 18 位勢問題的間接法邊界積分方程 ......................................................................................... 19 虛應力法建立的邊界積分方程 ............................................................................................. 21 位移間斷法建立的邊界積分方程 ......................................................................................... 22 本章小結 ............................................................................................................................................. 23 4 案例分析 ........................................................................................................................................................ 24 案例設計及軟件介紹 ........................................................................................................................ 24 計算模型 ............................................................................................................................................. 25 參數設定及云圖分析 ......................................................................................................................... 25 ................................................................................................................................ 28 本章小結 ............................................................................................................................................. 35 5 結論與展望 .................................................................................................................................................... 36 結論 ........................................................................................................................ 錯誤 !未定義書簽。 參考文獻 ............................................................................................................................................................ 37 翻譯部分 ............................................................................................................................................................ 39 致 謝 ...........................................................................................