【作者】 张路青； 杨志法； 李晓；

【Author】 Zhang Luqing,Yang Zhifa,Li Xiao (Institute of Geology and Geophysics,The Chinese Academy of Sciences,Beijing 100029 China)

【机构】 中国科学院地质与地球物理研究所工程地质力学开放研究实验室；

【摘要】 利用Schwarz交替法得到任意多个洞室在任意形状和任意布置方式下的迭代解。经过与已有的三个等尺寸圆孔问题精确解的对比发现:Schwarz交替法的迭代解具有非常高的计算精度。通过对复杂形状三个洞室围岩应力的初步精度分析进一步证实了Schwarz交替法求解多洞室问题的可靠性。多孔洞问题有效的解析解对于解决地下工程中洞室群围岩应力分析及支护参数的确定会有所帮助。更多还原

【Abstract】 Using Schwarz’s alternating method,an elastic solution of stresses in an infinite medium containing as many tunnels as required with arbitrary shapes and arrangements is found in this paper.By comparison with the exact solution for three equal circular hole problem,one can see that the iterative solution for 20 iterative calculations has been of very high accuracy.The accuracy analysis of the stress field around three tunnels with complex shapes further proves the reliability of the method as solving multiple tunnel problems.更多还原