Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion

The linear failure criterion is generally adopted in the stability problem of geotechnical engineering, whereas the experiments have indicated that there is a nonlinear relationship between the maximum and minimum principal stresses in weak surrounding rock. According to the characteristics of weak...

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Main Authors: Cheng-yang Wang, He-lin Fu, Jun-zhe Liu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2018/1490848
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author Cheng-yang Wang
He-lin Fu
Jun-zhe Liu
author_facet Cheng-yang Wang
He-lin Fu
Jun-zhe Liu
author_sort Cheng-yang Wang
collection DOAJ
description The linear failure criterion is generally adopted in the stability problem of geotechnical engineering, whereas the experiments have indicated that there is a nonlinear relationship between the maximum and minimum principal stresses in weak surrounding rock. According to the characteristics of weak rock, the failure mechanism of deep cavity is constructed by combining the nonlinear Hoek–Brown failure criterion and the upper bound theorem of limit analysis. The upper bound solution of the surrounding rock pressure was deduced using the tangent method. The results show that the surrounding rock pressure of deep cavity is affected by surrounding rock grade, cavity depth, and section size. Especially, the influence of the disturbance factor is quite obvious. Upper bound solution based on nonlinear Hoek–Brown failure criterion can fully take the influence of parameters on surrounding rock pressure. Therefore, this method is more scientific than the linear failure criterion to calculate the surrounding rock pressure.
format Article
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publishDate 2018-01-01
publisher Wiley
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series Advances in Civil Engineering
spelling doaj-art-c68148e01aac4501b907bc7d5c90fd392025-08-20T03:23:20ZengWileyAdvances in Civil Engineering1687-80861687-80942018-01-01201810.1155/2018/14908481490848Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure CriterionCheng-yang Wang0He-lin Fu1Jun-zhe Liu2Ph.D., School of Civil Engineering, Central South University, Hunan 410075, ChinaProfessor, School of Civil Engineering, Central South University, Hunan 410075, ChinaInstitute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610000, ChinaThe linear failure criterion is generally adopted in the stability problem of geotechnical engineering, whereas the experiments have indicated that there is a nonlinear relationship between the maximum and minimum principal stresses in weak surrounding rock. According to the characteristics of weak rock, the failure mechanism of deep cavity is constructed by combining the nonlinear Hoek–Brown failure criterion and the upper bound theorem of limit analysis. The upper bound solution of the surrounding rock pressure was deduced using the tangent method. The results show that the surrounding rock pressure of deep cavity is affected by surrounding rock grade, cavity depth, and section size. Especially, the influence of the disturbance factor is quite obvious. Upper bound solution based on nonlinear Hoek–Brown failure criterion can fully take the influence of parameters on surrounding rock pressure. Therefore, this method is more scientific than the linear failure criterion to calculate the surrounding rock pressure.http://dx.doi.org/10.1155/2018/1490848
spellingShingle Cheng-yang Wang
He-lin Fu
Jun-zhe Liu
Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion
Advances in Civil Engineering
title Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion
title_full Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion
title_fullStr Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion
title_full_unstemmed Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion
title_short Upper Bound Solution of Surrounding Rock Pressure for Deep Cavity Using Nonlinear Hoek–Brown Failure Criterion
title_sort upper bound solution of surrounding rock pressure for deep cavity using nonlinear hoek brown failure criterion
url http://dx.doi.org/10.1155/2018/1490848
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