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饱和土——隧道动力响应的2.5维有限元——边界元耦合模型

何超 周顺华 狄宏规 肖军华

何超, 周顺华, 狄宏规, 肖军华. 饱和土——隧道动力响应的2.5维有限元——边界元耦合模型[J]. 力学学报, 2017, 49(1): 126-136. doi: 10.6052/0459-1879-16-176
引用本文: 何超, 周顺华, 狄宏规, 肖军华. 饱和土——隧道动力响应的2.5维有限元——边界元耦合模型[J]. 力学学报, 2017, 49(1): 126-136. doi: 10.6052/0459-1879-16-176
He Chao, Zhou Shunhua, Di Honggui, Xiao Junhua. A 2.5-D COUPLED FE-BE MODEL FOR THE DYNAMIC INTERACTION BETWEEN TUNNEL AND SATURATED SOIL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 126-136. doi: 10.6052/0459-1879-16-176
Citation: He Chao, Zhou Shunhua, Di Honggui, Xiao Junhua. A 2.5-D COUPLED FE-BE MODEL FOR THE DYNAMIC INTERACTION BETWEEN TUNNEL AND SATURATED SOIL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 126-136. doi: 10.6052/0459-1879-16-176

饱和土——隧道动力响应的2.5维有限元——边界元耦合模型

doi: 10.6052/0459-1879-16-176
基金项目: 

国家自然科学基金资助项目 51478353

详细信息
    通讯作者:

    何超,博士生,主要研究方向:轨道交通线路系统动力学.E-mail:1310756@tongji.edu.cn

  • 中图分类号: TU45

A 2.5-D COUPLED FE-BE MODEL FOR THE DYNAMIC INTERACTION BETWEEN TUNNEL AND SATURATED SOIL

  • 摘要: 针对饱和土中异形隧道的三维动力响应问题,建立了2.5维有限元与边界元耦合模型.将隧道结构视为弹性体,采用2.5维有限元建立隧道模型;将地基土视为饱和多孔介质,采用2.5维边界元建立饱和土体模型.借助组合辅助问题基本解消除了边界积分方程的奇异性.利用饱和土与隧道接触面的位移、面力连续和完全透水或完全不透水边界条件,实现2.5维有限元和边界元模型的耦合求解.模型具有计算效率高、适用范围广的优点.通过与完全透水和完全不透水边界条件下轴对称问题的半解析解以及单相介质的2.5维有限元与边界元耦合模型对比,验证了本文模型的正确性.最后利用该模型计算了饱和土体中类矩形隧道在移动载荷作用下的三维动力响应,分析了不同土体渗透性下位移及孔隙水压力沿隧道轴向、环向和深度的分布规律.结果表明:(1)孔隙水压力随土体渗透性增大而显著减小,位移受土体渗透性影响小;(2)位移及孔隙水压力在隧道环向主要分布在距载荷作用点两侧约2 m的范围内;(3)孔隙水压力沿深度的衰减比土体位移快,且孔隙水压力和轴向位移沿深度的分布受土体渗透性影响大.

     

  • 图  1  $v$ =0.1$v_{0}$时本文计算模型与完全透水条件下的半解析解[23]的结果对比

    Figure  1.  Comparison between presented model with the semi-analytical solution[23] of permeable interface for $v$=0.1$v_{0}$

    图  2  $v$ =0.9$v_{0}$时本文计算模型与完全透水条件下的半解析解[23]的结果对比

    Figure  2.  Comparison between presented model with the semi-analytical solution[23] of permeable interface for $v$ =0.9$v_{0}$

    图  3  本文计算模型与完全不透水条件下的半解析解[24]的结果对比

    中文注解

    Figure  3.  Comparison between present model with the semi-analytical solution[24] of impermeable interface

    英文注解

    图  4  本文计算模型与单相介质的2.5维有限元与边界元耦合模型[16]的结果对比

    Figure  4.  Comparison between presented model with the 2.5D coupled FE-BE model[16] for single-phase media

    图  5  类矩形盾构断面形式及网格划分

    Figure  5.  Section form and element mesh of the quasi-rectangular tunnel

    图  6  载荷作用位置正下方的隧道底部处位移及孔隙水压力沿轴向分布

    Figure  6.  Soil displacement and pore pressure at tunnel invert where loads acting varied with $z'$

    图  7  不同$b$值时位移及孔隙水压力沿隧道环向分布

    Figure  7.  Soil displacement and pore pressure varied with tunnel ring for different values of $ b$

    图  8  不同$b$值时位移及孔隙水压力沿深度分布

    Figure  8.  Soil displacement and pore pressure varied beneath the tunnel invert for different values of $ b$

    表  1  隧道参数

    Table  1.   Parameters of tunnel

    表  2  饱和土体参数

    Table  2.   Parameters of saturated soil

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出版历程
  • 收稿日期:  2016-06-22
  • 修回日期:  2016-08-17
  • 网络出版日期:  2016-08-24
  • 刊出日期:  2017-01-18

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