粘土中圆形隧道上限解的研究
摘要:根据极限分析上限理论,基于Davis等人提出的隧道垮落模型,提出了剪切区参数α等于1时的新的隧道垮落模型。由不可压缩性条件和速度连续性条件求出了剪切区速度和间断线表达式,计算了该模型间断线上能量耗损、剪切区能量耗损和总外力所做的功。利用功能原理,求出了稳定率的表达式,并计算了相应的稳定率。从求解结果来看,所得上限解小于Davis等人的结果,因而该上限解将更接近真实解。从与实验结果比较来看,该上限解位于实验值附近,能与实验结果比较好地吻合,从而说明该模型更加接近真实隧道垮落情形。该上限解可为隧道支护提供理论依据。
Abstract:Base on Daris at al tunnel failure model and the upper bound theory of plastic limit analysis, a new parameter aequal to 1, governing size of shear zone of tunnel failure model was put forward. The velocity of shear zone and formula of line of discontinuity was applied in using incompressibility condition and velocity continuity condition, deducing energy dissipated on the line of discontinuity, energy dissipated within shear zone and total the work done by the outside force of the model Expression of stability ratios got by applying conversation of energy theory, from the result standpoint, the upper bound solution is smaller than Davis et al the results, thus the upper bound solution to be closer the real solution. From the standpoint of the experimental results comparison, the upper bound solution is located nearby the experimental value, which can agree with experimental results, thus the model is closer the real failure tunnel. The upper bound solution would provide the theory basis of the tunnel support.
中文标题：
粘土中圆形隧道上限解的研究
Research on the Upper Bound Solution of Circle Tunnel in Clay
作者：
尹小军
YIN Xiaojun
作者简介:尹小军,1980年生,男,汉族,甘肃人,硕士,现任教于黑龙江科技学院采矿系,主要从岩石力学及隧道稳定方面的教学与研究工作。E-mail:yinxiaojun800@126.com
通讯地址：
黑龙江科技学院, 黑龙江哈尔滨 150027
HeilongjiangInstituteofScienceandTechnology,Harbin150027,Heilongjiang,China
中图分类号:TU311.4
doi:10.3969/j.issn.1007-2993.2010.01.006
出版物：岩土工程技术
收稿日期:2009-10-12
网络出版日期:2021-07-06
关键词:上限解,稳定率,隧道稳定,塑性变形
Key words:upper bound solution,stability ratio,tunnel stability,plastic deformation
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