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基于上限理论的孔隙水压力作用下隧道洞口段含裂缝仰坡稳定性分析

张京伍 张海洋 李明东 管仲敏

张京伍,张海洋,李明东,管仲敏. 基于上限理论的孔隙水压力作用下隧道洞口段含裂缝仰坡稳定性分析 [J]. 应用数学和力学,2021,42(12):1287-1295 doi: 10.21656/1000-0887.420054
引用本文: 张京伍,张海洋,李明东,管仲敏. 基于上限理论的孔隙水压力作用下隧道洞口段含裂缝仰坡稳定性分析 [J]. 应用数学和力学,2021,42(12):1287-1295 doi: 10.21656/1000-0887.420054
ZHANG Jingwu, ZHANG Haiyang, LI Mingdong, GUAN Zhongmin. Upper Bound Analysis on the Stability of Cracked Slopes at Tunnel Entrance Subjected to Pore Water Pressure[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1287-1295. doi: 10.21656/1000-0887.420054
Citation: ZHANG Jingwu, ZHANG Haiyang, LI Mingdong, GUAN Zhongmin. Upper Bound Analysis on the Stability of Cracked Slopes at Tunnel Entrance Subjected to Pore Water Pressure[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1287-1295. doi: 10.21656/1000-0887.420054

基于上限理论的孔隙水压力作用下隧道洞口段含裂缝仰坡稳定性分析

doi: 10.21656/1000-0887.420054
基金项目: 国家自然科学基金 (51869001)
详细信息
    作者简介:

    张京伍(1985—),男,讲师,博士,硕士生导师 (通讯作者. E-mail:zhangjingwu2010@126.com)

  • 中图分类号: O39

Upper Bound Analysis on the Stability of Cracked Slopes at Tunnel Entrance Subjected to Pore Water Pressure

  • 摘要:

    研究了孔隙水压力作用下隧道洞口段含裂缝仰坡的稳定性。采用极限分析上限法,构建了坡顶含竖向裂缝的对数螺旋转动破坏机制,推导了可反映边坡临界坡高的稳定系数计算公式,将计算结果与未考虑孔隙水压力作用下的含裂缝边坡稳定性极限分析结果进行对比,验证了所提研究方法的合理性。通过算例分析,研究了坡顶裂缝最不利位置分布及仰坡整体安全系数。结果表明:坡顶裂缝开裂深度、土体内摩擦角、坡角越大及水位分布越浅,裂缝位置越靠近坡顶边缘处;孔隙水压力系数、坡顶裂缝开裂深度越大,仰坡稳定性系数越小;坡顶裂缝越深、孔隙水压力系数越大、边坡越陡,越不利于仰坡稳定;而坡内水位分布越低,越有利于仰坡稳定。

  • 图  1  孔隙水压力作用下隧道洞口段含裂缝仰坡破坏机制

    Figure  1.  The failure mechanism for a cracked slope at tunnel entrance subjected to pore water pressure

    图  2  含裂缝边坡稳定性系数计算结果对比

    Figure  2.  Comparisons of stability factors of the cracked slope

    图  3  不同参数对坡顶裂缝位置分布影响规律

    Figure  3.  Influence of different parameters on critical position of cracks

    图  4  不同参数对裂缝边坡稳定性系数的影响规律

    Figure  4.  Influence of different parameters on stability factors of cracked slope

    图  5  隧道洞口段含裂缝仰坡稳定图

    Figure  5.  Stability of the cracked slope at tunnel entrance

    图  6  隧道洞口段含裂缝仰坡安全系数

    Figure  6.  Safety factors of cracked slope at tunnel entrance

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出版历程
  • 收稿日期:  2021-03-01
  • 录用日期:  2021-03-01
  • 修回日期:  2021-05-22
  • 网络出版日期:  2021-11-15
  • 刊出日期:  2021-12-01

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