| 基于非关联流动法则的圆形隧洞滑移线解答 |
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| 引用本文： | 王永甫,王成,唐晓松.基于非关联流动法则的圆形隧洞滑移线解答[J].应用数学和力学,2013,34(12):1285-1290. |
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| 作者姓名： | 王永甫 王成 唐晓松 |
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| 作者单位： | 1后勤工程学院 军事土木工程系, 重庆 400041;2重庆市地质灾害防治工程技术研究中心, 重庆 400041;3重庆交通大学 土木建筑学院, 重庆 400074 |
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| 摘 要： | 圆形隧洞的滑移线方程早在20世纪中期苏联学者已给出解答，并在国内广泛应用．推导过程中假设滑移线与速度矢量方向夹角为45°-φ/2是错误的，理论上滑移线与速度矢量方向的夹角与采用的流动法则有关．该文分别从关联流动法则和非关联流动法则出发，推导了圆形隧洞的滑移线方程和水平方向破裂体深度的表达式．通过与模型试验结果进行对比，对岩土材料应采用基于非关联流动法则的滑移线解答.
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| 关 键 词： | 圆形隧洞 关联流动法则 非关联流动法则 滑移线解答 |
| 收稿时间： | 2013-05-27 |
Slip Line Solution for Circular Tunnels Based on the Non-Associated Flow Rule |
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| Institution: | 1Department of Civil Engineering, Logistic Engineering University of PLA, Chongqing 400041, P.R.China;2Chongqing Engineering and Technology Research Center of Geological Hazard Prevention and Treatment, Chongqing 400041, P.R.China;3School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, P.R.China |
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| Abstract: | The slip line equation for circular tunnels had been solved by Soviet scholars in the middle of 20th century, and widely used in China. But the assumption that the angle between the slip line and the velocity vector was 45°-φ/2 in the derivation had been wrong. Theoretically, that angle was related to the flow rule adopted. The plastic slip line equation of circular tunnels and the formula of horizontal fracture depth were derived based on both the associated flow rule and non-associated flow rule. Proved by previous model test, the slip line solution based on the non-associated flow rule is recommended for application. |
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