Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique

Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique

A method to evaluate the stability of tunnel face is proposed in the framework of upper bound theorem. The safety factor which is widely applied in slope stability analysis is introduced to estimate the stability of tunnel face using the upper bound theorem of limit analysis in conjunction with a st...

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Main Authors: Fu Huang, Zai-lan Li, Tong-hua Ling
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/4832097
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spelling doaj-aa61bab72d514d90b05c6790a82da8bc2020-11-24T23:02:10ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/48320974832097Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction TechniqueFu Huang0Zai-lan Li1Tong-hua Ling2School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaSchool of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaSchool of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaA method to evaluate the stability of tunnel face is proposed in the framework of upper bound theorem. The safety factor which is widely applied in slope stability analysis is introduced to estimate the stability of tunnel face using the upper bound theorem of limit analysis in conjunction with a strength reduction technique. Considering almost all geomaterials following a nonlinear failure criterion, a generalized tangential technique is used to calculate the external work and internal energy dissipation in the kinematically admissible velocity field. The upper bound solution of safety factor is obtained by optimization calculation. To evaluate the validity of the method proposed in this paper, the safety factor is compared with those calculated by limit equilibrium method. The comparison shows the solutions derived from these two methods match each other well, which shows the method proposed in this paper can be considered as effective.http://dx.doi.org/10.1155/2016/4832097
collection DOAJ
language English
format Article
sources DOAJ
author Fu Huang
Zai-lan Li
Tong-hua Ling
spellingShingle Fu Huang
Zai-lan Li
Tong-hua Ling
Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique
Mathematical Problems in Engineering
author_facet Fu Huang
Zai-lan Li
Tong-hua Ling
author_sort Fu Huang
title Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique
title_short Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique
title_full Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique
title_fullStr Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique
title_full_unstemmed Upper Bound Solution of Safety Factor for Shallow Tunnels Face Using a Nonlinear Failure Criterion and Shear Strength Reduction Technique
title_sort upper bound solution of safety factor for shallow tunnels face using a nonlinear failure criterion and shear strength reduction technique
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description A method to evaluate the stability of tunnel face is proposed in the framework of upper bound theorem. The safety factor which is widely applied in slope stability analysis is introduced to estimate the stability of tunnel face using the upper bound theorem of limit analysis in conjunction with a strength reduction technique. Considering almost all geomaterials following a nonlinear failure criterion, a generalized tangential technique is used to calculate the external work and internal energy dissipation in the kinematically admissible velocity field. The upper bound solution of safety factor is obtained by optimization calculation. To evaluate the validity of the method proposed in this paper, the safety factor is compared with those calculated by limit equilibrium method. The comparison shows the solutions derived from these two methods match each other well, which shows the method proposed in this paper can be considered as effective.
url http://dx.doi.org/10.1155/2016/4832097
work_keys_str_mv AT fuhuang upperboundsolutionofsafetyfactorforshallowtunnelsfaceusinganonlinearfailurecriterionandshearstrengthreductiontechnique
AT zailanli upperboundsolutionofsafetyfactorforshallowtunnelsfaceusinganonlinearfailurecriterionandshearstrengthreductiontechnique
AT tonghualing upperboundsolutionofsafetyfactorforshallowtunnelsfaceusinganonlinearfailurecriterionandshearstrengthreductiontechnique
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