An Analytical Solution for Stress and Displacement of Surrounding Rock for a Shallow Tunnel with a Cavity in Strata Considering Gravity Condition

被引：0
|
作者：
Yang G.-B. [1 ,2 ]
Zhang C.-P. [1 ,2 ]
Cai Y. [1 ,2 ]
Min B. [1 ,2 ]
机构：
[1] Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing
[2] School of Civil Engineering, Beijing Jiaotong University, Beijing
来源：
Zhongguo Gonglu Xuebao/China Journal of Highway and Transport | 2020年 / 33卷 / 03期
关键词：
Cavity; Complex variable method; Schwarz alternating method; Shallow tunnel; Stress and displacement; Tunnel engineering;
D O I：
10.19721/j.cnki.1001-7372.2020.03.010
中图分类号：
学科分类号：
摘要：
To study the stress and displacement of the surrounding rock for a shallow circular tunnel with a cavity in the strata, an analytical model in which the interaction between the tunnel and the cavity as well as the influence of gravity can be considered was proposed. The complex function method and Schwarz alternating method were applied to solve the model theoretically. Then, the analytical solution in this study was compared with the finite element numerical solution, and the results showed that they were in good agreement. Based on the analytical model, the effects of the stress release coefficient and position and size of the cavity on the stress and displacement were analyzed. The results showed that the influences of the cavity increase gradually with increase of stress release coefficient and cavity size but decrease with the distance between cavity and tunnel. The influence is the most significant when the cavity is located in the tunnel vault, followed by the inclined top. The hoop stress is decreased in the range of 0-5° but increased in the range of 5°-45° on both sides of the line between the centers of the cavity and the tunnel. The maximum differential subsidence is located directly above the cavity. The research has important theoretical significances and application values for the prediction of deformations and stresses caused by a shallow tunnel with a cavity in the stratum. © 2020, Editorial Department of China Journal of Highway and Transport. All right reserved.
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页码：119 / 131
页数：12
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