平面三向应力场中隧洞位移解及变化规律研究  

Analytical Solution and Change Law of Circular Tunnel Surrounding Rock Displacement in Plane Three-directional Stress Field

作　　者：安学旭 胡志平[1] 马甲宽 张永辉 李芳涛 An Xuexu;Hu Zhiping;Ma Jiakuan;Zhang Yonghui;Li Fangtao(School of Civil Engineering,Chang'an Universily,Xi'an 710061,P.R.China)

机构地区：[1]长安大学建筑工程学院,西安710061

出　　处：《地下空间与工程学报》2022年第1期65-74,共10页Chinese Journal of Underground Space and Engineering

基　　金：国家自然科学基金(41941019,41877285,42077248);峨汉高速工程科研专项(LH-HT-45)。

摘　　要：为了揭示复杂应力场中隧洞围岩位移变化规律,基于平面三向应力场中圆形隧洞析解理论,推导了平面三向应力场中隧洞围岩位移解析解,并通过Matlab软件编程,研究了围岩位移随应力场环境的变化规律。结果表明:平面三向应力场中各因素对塑性区半径的影响规律与双向应力场中相似;平面三向应力场中当应力场比例系数λ_(1)=1.0,λ_(2)从1.0增到3.6或降至0.35时,隧洞围岩位移呈现竖向细腰葫芦形→类蝶形→非对称蝶形的变化规律;此外,与双向应力场相比,平面三向应力场中隧洞围岩位移不再局限于拱肩和拱脚部位,且不同方位围岩位移显著不同。研究结果直观地诠释了隧洞围岩位移随应力场的变化规律,可为类似工程灾变防治提供借鉴。In order to reveal the evolution law of surrounding rock displacement in complex stress field, based on the analytical solution of surrounding rock stress of circular tunnel in plane three-directional stress field, the analytical solution of surrounding rock displacement was derived, and the change law of surrounding rock displacement with stress field was studied by Matlab programming. Results show that: The influence of various factors on the plastic zone radius in plane three-directional stress field is similar to that in bidirectional stress field. In the plane three-directional stress field, when the stress field proportion coefficient λ_(1)=1.0, and λ_(2)increases from 1.0 to 3.6 or decreases from 1.0 to 0.35, the surrounding rock displacement distribution shape shows an evolution law of vertical thin waist gourd → similar butterfly → asymmetric butterfly. Moreover, compared with bidirectional stress field, the surrounding rock displacement in the three-directional stress field is not limited to the arch shoulders and arch feet of the tunnel, and the displacement in the different directions of the tunnel may be significantly different. Research results can directly show the variation law of surrounding rock displacement with stress field, and also provide reference for the prevention and control of surrounding rock disaster in similar projects.

关 键 词：平面三向应力场 圆形隧洞 位移解析解 位移变化规律 

分 类 号：U451.2[建筑科学—桥梁与隧道工程]