| 正交各向异性岩体中非圆形水工隧洞的解析解 |
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| 引用本文： | 王少杰,吕爱钟,张晓莉.正交各向异性岩体中非圆形水工隧洞的解析解[J].岩土力学,2018,39(12):4437-4447. |
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| 作者姓名： | 王少杰 吕爱钟 张晓莉 |
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| 作者单位： | 华北电力大学 水电与岩土工程研究所，北京 102206 |
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| 基金项目： | 国家自然科学基金项目（No.11572126，No.51704117）；中央高校基本科研业务费（No.NCEPU2016XS59） |
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| 摘 要： | 将围岩和衬砌分别视作均质、连续的线弹性正交各向异性和各向同性体，并充分考虑衬砌的支护滞后效应和隧洞运行时的内水压力作用，运用复变函数方法中的幂级数解法，提出了正交各向异性岩体中任意形状水工隧洞的力学解析方法。以直墙半圆拱形水工隧洞为例，所获得的解析解可精确满足衬砌内边界的应力边界条件以及围岩与衬砌接触面的应力、位移连续条件，同时还将解析结果与ANSYS数值结果对比分析，吻合良好。利用获得的解析解，讨论了围岩开挖面上不同的各向异性程度、不同的弹性对称面角度以及隧洞内不同的水压荷载对衬砌以及围岩上应力和位移分布的影响。
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| 关 键 词： | 解析方法 正交各向异性岩体 带衬砌的水工隧洞 任意形状隧洞 水压荷载 |
| 收稿时间： | 2017-10-08 |
Analytical solution for the non-circular hydraulic tunnel buried in the orthotropic rock mass |
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| WANG Shao-jie,Lü Ai-zhong,ZHANG Xiao-li.Analytical solution for the non-circular hydraulic tunnel buried in the orthotropic rock mass[J].Rock and Soil Mechanics,2018,39(12):4437-4447. |
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| Authors: | WANG Shao-jie LÜ Ai-zhong ZHANG Xiao-li |
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| Institution: | Institute of Hydroelectric and Geotechnical Engineering, North China Electric Power University, Beijing 102206, China |
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| Abstract: | The surrounding rock mass and the lining are regarded as orthotropic and isotropic medium, respectively, with continuous, homogeneous and linear-elastic properties. The effects of support delay and water pressure during tunnel operation are also taken into consideration. Based on the above assumptions and the power series method of complex variable theory, the analytical method and solution for the arbitrary-shaped hydraulic tunnel that is buried in the orthotropic rock mass is established. Taking an inverted U-shaped tunnel for example, the analytical solution is perfectly satisfied with the stress boundary condition on the inner boundary of lining and stress boundary condition on the contact interface between lining and surrounding rock mass. Besides, the displacement continuity condition along the contact boundary can also be accurately satisfied. The numerical solution simulated by finite element software ANSYS is introduced to be compared with the analytical solution. The comparison indicates that the analytical results are in good agreement with the numerical analysis. With the presented analytical method for the problem, the influences of anisotropic degree of surrounding rock mass, the angle of elastic symmetric plane and the water pressure are discussed based on investigating the stress and displacement distributions of lining and surrounding rock mass. |
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| Keywords: | analytical method orthotropic rock mass lined hydraulic tunnel arbitrary-shaped tunnel water pressure |
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