Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels
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Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels
Vol. 33, Issue 11, (2012)
作者机构:
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
作者简介:
基金信息:
DOI:
CLC:U451
Online First:14 November 2012,
Published:2012
稿件说明:
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QI Cheng-zhi, QIAN Qi-hu, WANG Ming-yang, et al. Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels[J]. 2012, 33(11).
DOI:
QI Cheng-zhi, QIAN Qi-hu, WANG Ming-yang, et al. Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels[J]. 2012, 33(11).DOI:
Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels
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.