采矿与安全工程学报2025，Vol.42Issue(5)：998-1007,10.DOI:10.13545/j.cnki.jmse.2023.0497
矩形巷道围岩应力分布及塑性区演化规律分析
Analysis on stress distribution and plastic zone evolution in surrounding rock of rectangular tunnels
摘要
Abstract
The stress distribution and plastic zone range of surrounding rock in tunnels are important reference indicators for the design of tunnel support parameters.In this study,the analytical solution of stress in surrounding rock of rectangular tunnels and the implicit equation of plastic zone were obtained in the light of the complex variable theory.Meanwhile,the stress distribution characteristics and plastic zone evolution law of surrounding rock in tunnels under different stress fields were explored by the con-trolled variable method,and the influence of local irregularities in tunnels on the distribution of plastic zones was comparatively analyzed by the equivalent circle method.Finally,the reliability of theoretical analysis was verified through numerical simulation.The following research conclusions were drawn:The stress distribution around rectangular tunnels differs notably,and changes in the stress environment can cause a negative correlation between stresses on the roof/floor and those on two sides.The tangential and radial stresses of surrounding rock in the axial direction are characterized by gradient changes.Their changes are significant in the shallow area of the tunnel,whereas the amplitudes of their changes gradu-ally decrease with the increase in the distance from the roadway center until they eventually return to the original in-situ stress state.The shape of the plastic zone in the surrounding rock becomes increasingly irregular with the decrease in the lateral pressure coefficient.To be specific,it transitions from an"ellip-tical-like"shape to a"butterfly-like"shape and then to a"butterfly"shape.The shape of the plastic zone predicted by theoretical analysis closely matches numerical simulation results.However,certain discre-pancies exist between the results of the complex variable theory and those of the equivalent circle method in terms of plastic zone size and shape.The plastic zone shape predicted by the complex variable theory is more consistent with numerical simulation results,primarily because the equivalent circle meth-od simplifies the cross-sectional geometry in its theoretical assumptions,which limits its ability to accu-rately reflect the actual stress conditions near local irregularities.The above finding suggests that local ir-regularities have a marked impact on plastic zone expansion in the surrounding rock.关键词
矩形围岩应力/复变函数/蝶形破坏理论/巷道塑性区/等效圆Key words
rectangular surrounding rock stress/complex variable function/butterfly failure theory/plastic zone of tunnel/equivalent circle分类
矿业与冶金引用本文复制引用
刘洪涛,程文聪,韩子俊,刘勤裕,吴双,张荣光,乔钟槿,张熙莹..矩形巷道围岩应力分布及塑性区演化规律分析[J].采矿与安全工程学报,2025,42(5):998-1007,10.基金项目
国家自然科学基金联合基金项目(U22A20165) （U22A20165）
国家自然科学基金项目(52004289) （52004289）
中央高校基本科研业务费项目(2022XJNY01) （2022XJNY01）
