深隧道围岩分区破裂的数学模拟

›› 2012, Vol. 33 ›› Issue (11): 3439-3446.

深隧道围岩分区破裂的数学模拟

戚承志¹，钱七虎²，王明洋²，陈剑杰³

1. 北京建筑工程学院工程结构与新材料北京市高校工程研究中心，北京 100044； 2. 解放军理工大学工程兵工程学院，南京 210007；3. 西北核技术研究院，西安 710024

收稿日期:2012-07-12 出版日期:2012-11-12 发布日期:2012-11-14
作者简介:戚承志，男，1965年生，博士，教授，主要从事结构抗震、岩土力学方面的教学和研究工作。
基金资助:
国家自然基金资助项目(No. 51174012)；国家重点基础研究发展计划(973)项目(No. 2010CB732003)；北京市自然基金资助项目(No.KZ200810016007)；非线性动立系统建模与分析团队(No. PHR201107123)

Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels

QI Cheng-zhi¹，QIAN Qi-hu²，WANG Ming-yang²，CHEN Jian-jie³

1. Beijing Higher Institution Engineering Research Center for Engineering Structures and New Materials, Beijing University of Civil Engineering and Architecture, Beijing 100044, China; 2. Engineering Institute of Engineering Cops, PLA University of Science and Technology, Nanjing 210007, China; 3. Northwest Institute of Nuclear Technology, Xi’an 710024, China

Received:2012-07-12 Online:2012-11-12 Published:2012-11-14

摘要/Abstract

摘要： 该研究为先前深隧道围岩分区破裂现象内变量梯度塑性模型的进一步发展。利用应变梯度模型研究了深隧道围岩的分区破裂现象。作为额外的状态变量，在此引入应变梯度这一新变量。利用虚功原理得到了深隧道围岩的平衡方程、边界条件和流动准则，利用Clausius-Duhem不等式获得了岩体的本构方程。对于圆形深隧道，由上述模型的一般方程得到了弹性变形情况下、具有下降段的弹塑性变形情况下和不考虑弹性变形的塑性变形情况下圆形深隧道围岩的支配方程，得到了解析解，并讨论了解析解的性质。这一模型不仅扩展了隧道围岩的经典弹塑性模型，也为下一步数值研究深隧道围岩的分区破裂现象奠定了理论基础。

关键词: 深隧道, 分区破裂, 应变梯度理论

Abstract: The present work is the further development of the previous works of the writers on internal variable gradient model for zonal disintegration phenomenon near deep tunnels. Strain gradient model is used to study zonal disintegration phenomenon. As an additional variable, strain gradient, is introduced. The equilibrium equations, boundary conditions and flow rule are obtained by using virtual work principle. Constitutive equations are obtained by using Clausius-Duhem inequality. For deep circular tunnels the governing equations are obtained from the general equations of the proposed model for elastic deformation regime, elastoplastic deformation regime and plastic deformation regime without consideration of elastic deformations. The solutions of the governing equations are obtained; and the behaviour of the solutions is analyzed. The proposed model not only expands the classical elastoplastic model for surrounding rock near tunnels, but also serves as theoretical basis for numerical study of zonal disintegration phenomenon near deep tunnels.

Key words: deep tunnel, zonal disintegration, strain gradient theory

中图分类号:

U 451

戚承志，钱七虎，王明洋，陈剑杰 . 深隧道围岩分区破裂的数学模拟[J]. , 2012, 33(11): 3439-3446.

QI Cheng-zhi ，QIAN Qi-hu ，WANG Ming-yang ，CHEN Jian-jie . Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels[J]. , 2012, 33(11): 3439-3446.

参考文献

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