›› 2017, Vol. 38 ›› Issue (11): 3145-3153.doi: 10.16285/j.rsm.2017.11.009

• 基础理论与实验研究 • 上一篇    下一篇

考虑土拱效应的滑移面间非极限状态土压力解答

李瑞林1,周国庆1,林 超2,赵光思2,陈国舟3   

  1. 1. 中国矿业大学 深部岩土力学与地下工程国家重点实验室,江苏 徐州 221116; 2. 中国矿业大学 力学与建筑工程学院,江苏 徐州 221116;3. 河南省城乡规划设计研究总院有限公司,河南 郑州 450099
  • 收稿日期:2015-11-16 出版日期:2017-11-10 发布日期:2018-06-05
  • 通讯作者: 周国庆,男,1961年生,博士,教授,主要从事土力学及土体与结构的相互作用方面的研究工作。E-mial: gqz@cumt.edu.cn E-mail:lrl20080120@126.com
  • 作者简介:李瑞林,男,1990年生,博士研究生,主要从事土拱效应以及磁重力模型试验方法方面的研究工作。
  • 基金资助:

    国家重点基础研究发展计划(No. 2012CB026103);国家自然科学基金(No. 41271096);国家高等学校学科创新引智计划(No. B14021);江苏省研究生培养创新工程(No. KYLX15_1406)。

Solution of earth pressure between slip surfaces under non-limit state considering soil arching effect

LI Rui-lin1, ZHOU Guo-qing1, LIN Chao2, ZHAO Guang-si2, CHEN Guo-zhou3   

  1. 1. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 2. School of Mechanics & Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 3. Urban Planning and Design Institute of Henan Province Co. Ltd., Zhengzhou, Henan 450099, China
  • Received:2015-11-16 Online:2017-11-10 Published:2018-06-05
  • Supported by:

    his work was supported by the Major State Basic Research Development Program of China (2012CB026103), the National Natural Science Foundation of China (41271096), 111 Project of China (B14021) and the Innovation Project for Postgraduate of Jiangsu Province (KYLX15_1406).

摘要: 深部岩土工程领域面临的井筒、巷道以及硐室等埋深较深结构物,其上方的土体大多处于非极限状态。现有理论很少关注非极限状态的土压力计算,基于此建立了考虑土拱效应的滑移面间非极限状态土压力计算模型。基于主应力旋转理论和简化的抛物线型滑移面,推导了滑移面上的侧向土压力系数;基于大主应力拱假设,采用极限平衡法建立了滑移面间土体中平均竖向应力的微分方程,并给出了解析解答;进一步,采用文中方法和经典理论解答分析了极限状态时滑移面间的土压力并与物理模型试验结果进行了对比,验证了方法的正确性;最后,进行了滑移面间非极限状态土压力算例分析,结果表明,建立的土压力解答能够较好地反映土体内部土拱演化过程中结构物上方及土体内部滑移面间的土压力状态及其与滑移面之间的演化关系。

关键词: 土拱效应, 非极限状态, 倾斜滑移面, 主应力旋转, 大主应力拱

Abstract: Soils around structures such as shafts, tunnels, and chambers are usually under a non-limit state in deep underground engineering. The earth pressure on structure in the non-limit state cannot be predicted accurately by existing theories. In this paper, a model for earth pressure between slip surfaces in non-limit state is established considering soil arching effect. According to the principal stress rotation theory and the simplified parabolic slip surface, the lateral earth pressure coefficient on the slip surface is deduced. Based on the assumption of major principal stress arch, the analytical solution is obtained from the differential equation of average vertical stress in the soil using the limit equilibrium method. The accuracy of this analytical solution is validated by comparing the predicted earth pressures with those values observed from physical modelling under the limit equilibrium state, and calculated from other classical theories. An example of earth pressure analysis between non-limit state of slip surfaces suggested that the presented theory is applicatable to evaluate earth pressures both on the structure and inside soil between slip surfaces under the non-limit state.

Key words: soil arching effect, non-limit state, inclined slip surface, principal stress rotation, major principal stress arch

中图分类号: 

  • TU 441+.31

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