圆形隧道围岩附加应力场的解析解答

研究各向同性岩体中含一个圆形隧道围岩的附近应力问题。考虑全场的应力变形特征，运用复变函数的罗朗级数展开技术，构造合适的应力函数，结合隧道的边界条件和无穷远的性态，获得了全场应力复势的解析表达式。数值分析发现，应力集中程度最剧烈时，不一定总是发生在孔的附近；应力集中程度最弱时，不一定总是距离孔边较远；当隧道埋深为其半径的5倍以上时，可以作为无限大基体含一个圆形孔洞来处理。

Analytical solution of subsidiary stress field for circular tunnel

The subsidiary stress problem of rock surrounding a circular tunnel is researched. Considering the stress-deformation characteristic of the total field, and applying the technique of series expansion, the appropriate stress functions are constructed. Accordingly, the complex potentials of the rock mass are obtained. The numerical results indicate that the orientations of the occurrence of severe stress concentration are unnecessarily near the hole, and the orientations of the occurrence of weak stress concentration are unnecessarily apart from the hole. When the embedded depth of the tunnel is 5 times than the radius of the tunnel, it can be treated as a circular hole in infinite matrix.