高级检索
刘洪涛,韩子俊,郭晓菲,等. 考虑轴向应力影响的圆形巷道围岩塑性区边界近似解[J]. 煤炭科学技术,2023,51(10):12−23. DOI: 10.13199/j.cnki.cst.2022-1405
引用本文: 刘洪涛,韩子俊,郭晓菲,等. 考虑轴向应力影响的圆形巷道围岩塑性区边界近似解[J]. 煤炭科学技术,2023,51(10):12−23. DOI: 10.13199/j.cnki.cst.2022-1405
LIU Hongtao,HAN Zijun,GUO Xiaofei,et al. Approximate solution of plastic zone boundary of surrounding rock of circular roadway considering axial stress[J]. Coal Science and Technology,2023,51(10):12−23. DOI: 10.13199/j.cnki.cst.2022-1405
Citation: LIU Hongtao,HAN Zijun,GUO Xiaofei,et al. Approximate solution of plastic zone boundary of surrounding rock of circular roadway considering axial stress[J]. Coal Science and Technology,2023,51(10):12−23. DOI: 10.13199/j.cnki.cst.2022-1405

考虑轴向应力影响的圆形巷道围岩塑性区边界近似解

Approximate solution of plastic zone boundary of surrounding rock of circular roadway considering axial stress

  • 摘要: 为了研究考虑轴向应力作用的巷道围岩塑性区边界问题,基于Mohr-Coulomb准则,通过引入Lode角参数,推导出考虑轴向应力作用的圆形巷道围岩塑性区边界隐性方程,通过变化巷道水平应力σx、轴向应力σy分析了不同应力场下的围岩塑性区尺寸及形态,并通过数值模拟进一步说明了理论分析的可靠性。此外还研究了围岩黏聚力C、内摩擦角φ、巷道半径R、泊松比v对巷道围岩稳定性的影响。结果表明:①固定轴向侧压变化水平侧压的条件下,围岩塑性区尺寸变化会分为敏感区和迟钝区,且在水平侧压变化的过程中围岩塑性区形态会呈现圆形、椭圆形及蝶形3种形态。②固定水平侧压变化轴向侧压的条件下,围岩各位置的塑性区会呈现强烈的区间效应,通过与平面应变问题下的塑性区尺寸对比将区域分为轴向应力影响区和轴向应力无影响区。在轴向应力影响区内,轴向侧压的变化对围岩的塑性区尺寸影响较大。③巷道围岩的破坏形态由水平侧压η1决定,轴向侧压η2对塑性区形态影响较小,对尺寸影响较大。④围岩Cφ的增加会使巷道围岩的塑性区尺寸不同程度的减小,R的增加会使围岩不同位置塑性区呈等差数列增大。在轴向应力无影响区,v对围岩塑性区尺寸无影响,在轴向应力影响区内,翼角处的塑性区尺寸不受v的影响,其余位置的塑性区尺寸会受到不同程度的影响。

     

    Abstract: In order to study the boundary of plastic zone of surrounding rock of a roadway considering axial stress, based on Mohr-Coulomb criterion, the implicit equation of plastic zone boundary of surrounding rock of circular roadway considering axial stress is derived by introducing Lode angle parameter. The size and shape of plastic zone of surrounding rock under different stress fields are analyzed by changing the horizontal stress σx and axial stress σy of roadway, and the reliability of theoretical analysis is further illustrated by numerical simulation. In addition, the influence of cohesion C, internal friction angle φ, roadway radius R and Poisson’s ratio v on the stability of surrounding rock is studied. The results show that : ① Under the condition of fixed axial lateral pressure while changing horizontal lateral pressure, the size change of plastic zone of surrounding rock can be divided into sensitive zone and insensitive zone, and in the changing process of horizontal lateral pressure, the plastic zone of surrounding rock shows three forms: circular, elliptical and butterfly-shaped. ② Under the condition of fixed horizontal lateral pressure while changing axial lateral pressure, the plastic zone at each position of surrounding rock shows a strong interval effect. By comparing the size of plastic zone under plane strain problem, the region is divided into axial stress-affected zone and axial stress-unaffected zone. In the influence zone of axial stress, the change of axial lateral pressure has great influence on the size of plastic zone of surrounding rock. ③ The failure mode of roadway surrounding rock is determined by the horizontal lateral pressure η1, and the axial lateral pressure η2 has little effect on the shape of plastic zone, but has great influence on the size. ④ The increase of surrounding rock C and φ will reduce the size of plastic zone of roadway surrounding rock to varying degrees, and the increase of R will increase the plastic zone at different positions of surrounding rock in an equal number sequence. In the axial stress-unaffected zone, v has no effect on the size of plastic zone of surrounding rock. In the axial stress-affected zone, the size of plastic zone at the wing corner is not affected by v, and the size of plastic zone at other locations is affected to different degrees.

     

/

返回文章
返回