为得出直墙拱形巷道围岩应力分布规律，应用复变函数弹性理论推导了直墙拱形巷道围岩应力分布的解析表达式。对直墙拱形巷道边界的围岩应力和巷道水平线方向的围岩应力分布规律进行分析，并考虑直墙拱形巷道断面高宽比和侧压系数对其影响规律。研究表明：在不同巷道断面高宽比、侧压系数下，直墙拱形巷道围岩应力集中区域主要集中在直墙底部底角处、拱形顶板中点附近和底板中部3个位置。不同巷道断面高宽比下，直墙拱形巷道沿水平线的应力分布规律基本相同。侧压系数大于1时，采用巷道断面高宽比小于1较有利于巷道稳定；侧压系数小于等于1时，采用巷道断面高宽比大于1较有利于巷道稳定。

The conformal transformation and elastic theory of complex function are used to derive the analytical expression of surrounding rock stress distribution of vertical wall archy roadway. The distribution laws of roadway boundary surrounding rock stress and the stress along horizontal line are analyzed. Also the impact of different aspect ratios of roadway cross-section and different lateral pressure coefficients on stress field of surrounding rocks are studied. The results showe that: with different aspect ratios of roadway cross-section and different lateral pressure coefficients, three locations of vertical wall archy roadway surrounding rocks are main stress concentration area concentrated . The three locations are the basic angle at bottom of vertical wall,the location near midpoint of archy roof and the center of floor. Under different aspect ratios of roadway cross-section, the distribution laws of stress along horizontal line of vertical wall archy roadway are the same basically. When the lateral pressure coefficient is greater than one, roadway is stable with aspect ratio of roadway cross-section less than one. While,when the lateral pressure coefficient is not greater than 1,roadway is stable with aspect ratio of roadway cross-section greater than one.

国家自然科学基金(51374119、51204090、51174107)