非均匀应力场下圆形隧洞围岩弹性应力分析
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U451

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国家自然科学基金(51174255)#$NL第一作者:陈登国(1994-),男,汉族,硕士研究生,研究方向:隧洞围岩稳定控制,E-mail:chendengguo2018@163.com。


Analysis of Elastic Surrounding Rock Stress of Circular Tunnel under Non-uniform Stress Field
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    摘要:

    为了能更好的研究隧洞围岩在非均匀应力场下开挖过程中整体的稳定性,根据隧洞围岩在非均匀应力场下的模型特点,将隧洞围岩周围应力划分为两部分进行叠加。基于D-P准则与理想弹塑性本构关系,采用双调和方程和半逆解法,推导出非均匀应力场下圆形隧洞弹性区围岩应力的解析表达式,并通过Flac3D数值模拟对理论分析结果加以验证。结果表明:考虑中间主应力系数的影响时,中间主应力系数越大与之对应的侧压系数范围越小;侧压系数越大隧洞帮部集中应力降低,拱顶的集中应力增大;同时理论分析结果与数值模拟结果基本一致。在考虑非均匀应力场分布的力学模型更为准确地反映了隧洞围岩应力分布特点,对隧洞围岩的支护方案具有一定的意义。

    Abstract:

    In order to better study the overall stability of surrounding rock under non-uniform stress field, the stress around surrounding rock is divided into two parts for superposition according to the model characteristics of surrounding rock under non-uniform stress field.Based on the d-p criterion and the ideal elastic-plastic constitutive relation, the analytical expression of surrounding rock stress in the elastic zone of circular tunnel under non-uniform stress field is derived by using the biharmonic equation and the semi-inverse solution method, and the theoretical analysis results are verified by Flac3D numerical simulation.The results show that when considering the influence of intermediate principal stress coefficient, the larger the intermediate principal stress coefficient is, the smaller the range of lateral pressure coefficient is.The larger the lateral pressure coefficient, the lower the concentrated stress of the tunnel, the higher the concentrated stress of the arch.At the same time, the theoretical analysis results are basically consistent with the numerical simulation results.The mechanical model considering the non-uniform stress field distribution more accurately reflects the stress distribution characteristics of surrounding rock and has certain reference value for the supporting scheme of surrounding rock.

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陈登国,高召宁,李顺顺. 非均匀应力场下圆形隧洞围岩弹性应力分析[J]. 科学技术与工程, 2020, 20(21): 8791-8797.
CHEN Deng-guo, LI Shun-shun. Analysis of Elastic Surrounding Rock Stress of Circular Tunnel under Non-uniform Stress Field[J]. Science Technology and Engineering,2020,20(21):8791-8797.

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  • 收稿日期:2020-01-06
  • 最后修改日期:2020-05-30
  • 录用日期:2020-03-03
  • 在线发布日期: 2020-08-18
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