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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 被引量:1
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作者 王少杰 曾祥太 吕爱钟 《应用数学和力学》 CSCD 北大核心 2021年第4期342-353,共12页
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... 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. 展开更多
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 复变函数方法 洞内水压力
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Stress characteristics of surrounding rocks for inner water exosmosis in high-pressure hydraulic tunnels 被引量:2
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作者 俞缙 李天斌 +1 位作者 张建智 蔡燕燕 《Journal of Central South University》 SCIE EI CAS 2014年第7期2970-2976,共7页
Seepage and stress redistribution are the main factors affecting the stability of surrounding rock in high-pressure hydraulic tunnels.In this work,the effects of the seepage field were firstly simplified as a seepage ... Seepage and stress redistribution are the main factors affecting the stability of surrounding rock in high-pressure hydraulic tunnels.In this work,the effects of the seepage field were firstly simplified as a seepage factor acting on the stress field,and the equilibrium equation of high pressure inner water exosmosis was established based on physical theory.Then,the plane strain theory was used to solve the problem of elasticity,and the analytic expression of surrounding rock stress was obtained.On the basis of criterion of Norway,the influences of seepage,pore water pressure and buried depth on the characteristics of the stress distribution of surrounding rocks were studied.The analyses show that the first water-filling plays a decisive role in the stability of the surrounding rock; the influence of seepage on the stress field around the tunnel is the greatest,and the change of the seepage factor is approximately consistent with the logarithm divergence.With the effects of the rock pore water pressure,the circumferential stress shows the exchange between large and small,but the radial stress does not.Increasing the buried depth can enhance the arching effect of the surrounding rock,thus improving the stability. 展开更多
关键词 high pressure hydraulic tunnel inner water exosmosis physical theory seepage factor stress redistribution plane strain theory
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