圆形巷道围岩弹性应力场的复变函数解析Analysis of the complex functions of the surrounding rock stress field in the elastic circular tunnels
杨巨文;唐治;何峰;朱小景;于永江;
摘要(Abstract):
为得出圆形巷道围岩弹性应力分布特征,采用复变函数对圆形巷道围岩弹性应力进行解析,得到了与应力函数解法相同的应力场解析表达式,证明了复变函数解法求解巷道围岩应力场的可行性。对圆形巷道边界应力分布规律及沿水平线的应力分布规律进行了分析,结果表明:1)圆形巷道边界的径向应力和剪应力等于0,环向应力集中系数随侧压系数和位置角度变化而变化,与巷道半径无关;2)沿水平线的圆形巷道围岩剪应力等于0,径向应力和环向应力集中系数随侧压力系数和巷道半径变化而变化;3)沿水平线方向,侧压系数对巷道围岩径向应力的影响大于环向应力影响。还分析了侧压系数对巷道围岩应力的影响规律,讨论了侧压系数等于0、大于0小于1、等于1和大于1等4种情况下的巷道边界环向应力分布情况,得出了巷道边界环向应力的拉压区域及环向应力集中系数最大位置。
关键词(KeyWords): 安全工程;圆形巷道;复变函数;保角变换;围岩应力
基金项目(Foundation): 国家自然科学基金项目(11202091,51174106)
作者(Authors): 杨巨文;唐治;何峰;朱小景;于永江;
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