| 非圆形水工衬砌隧洞与横观各向同性岩体在光滑接触下的解析分析 |
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| 引用本文： | 王少杰,曾祥太,吕爱钟.非圆形水工衬砌隧洞与横观各向同性岩体在光滑接触下的解析分析[J].应用数学和力学,2021,42(4):342-353. |
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| 作者姓名： | 王少杰 曾祥太 吕爱钟 |
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| 作者单位： | 1中国核电工程有限公司, 北京 100840 |
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| 基金项目： | 国家自然科学基金(51974124) |
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| 摘 要： | 提出了横观各向同性岩体中的非圆形水工衬砌隧洞在各向同性衬砌与岩体处于光滑接触条件下的解析方法.基于复变函数理论，通过建立两种介质在光滑接触边界上的力和位移连续关系以及衬砌自由边界的水压力边界条件，考虑衬砌支护滞后效应并使用幂级数解法获得解析解.针对倾斜结构面岩体中的马蹄形水工衬砌隧洞，使用解析和数值方法验证了解析解的正确性，获得了岩体各向异性和不同洞内水压力对衬砌和围岩接触边界，以及衬砌自由边界上应力和位移分布的影响规律.
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| 关 键 词： | 横观各向同性岩体 光滑接触条件 非圆形水工衬砌隧洞 复变函数方法 洞内水压力 |
| 收稿时间： | 2020-06-18 |
Analytical Analysis of Non-Circular Hydraulic Lined Tunnels Under Smooth Contact With Transversely Isotropic Rock Mass |
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| Institution: | 1China Nuclear Power Engineering Co., Ltd., Beijing 100840, P.R.China2School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, P.R.China3Institute of Hydroelectric and Geotechnical Engineering, North China Electric Power University, Beijing 102206, P.R.China |
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| Abstract: | An analytical method for non-circular hydraulic lined tunnels in transversely isotropic rock mass was proposed, with the lining under the smooth contact condition with surrounding rock mass. Based on the complex variable theory, continuous conditions for stresses and displacements at the contact boundary and water pressure boundary condition at the lining free boundary were established. In view of the lining support delay effect and with the power series method, the analytical solution was acquired. Aimed at a horseshoe-shaped lined tunnel constructed in transversely isotropic rock mass with inclined structural face, the correctness of this method was validated by analytical check and numerical comparison. Distributions of stress and displacement at the contact boundary and lining free boundary under the effects of anisotropic property and water pressures were discussed. |
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