Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence

The convergence confinement methods are solutions employed to estimate convergence in circular tunnels. They are mostly based on constitutive equations governed by the Mohr-Coulomb and Hoek-Brown yield criteria. However, the solutions based on these criteria neglect the intermediate principal stress...

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Main Author: Eugie Kabwe
Format: Article
Language:English
Published: Elsevier 2020-05-01
Series:International Journal of Mining Science and Technology
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2095268619305932
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author Eugie Kabwe
author_facet Eugie Kabwe
author_sort Eugie Kabwe
collection DOAJ
description The convergence confinement methods are solutions employed to estimate convergence in circular tunnels. They are mostly based on constitutive equations governed by the Mohr-Coulomb and Hoek-Brown yield criteria. However, the solutions based on these criteria neglect the intermediate principal stress confining effect on the ground reaction estimation. Therefore, in this paper, a Drucker-Prager yield criterion governed solution integrated with the Lode angle parameter is employed. It considers the intermediate principal stress influence and the critical effect of the parameter on failure characterization. Subsequently, it is verified with results attained from numerical simulations which consider an elastic-perfectly plastic constitutive law with a non-associative flow rule within FLAC3D. It was drawn from the results that the ground reaction and plastic evolution are influenced by the confining stress. Furthermore, considering a suitable yield criterion leads to realistic convergence and plastic evolution estimation. The circumscribed DP criterion governed solution with Lode angle parameter value (0.8) is considered appropriate for the realistic ground reaction estimation in the three-dimensional (3D) stress state rock mass. It estimates approximately 3.4% of tunnel convergence as compared to the classic solutions (5%) and plastic radius estimated to be approximately 2.45 m compared to 2.84 m.
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spelling doaj.art-51da6b06deae48ec8f128e58e92222c52022-12-21T18:59:55ZengElsevierInternational Journal of Mining Science and Technology2095-26862020-05-01303431440Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependenceEugie Kabwe0School of Civil, Environmental and Mining Engineering, University of Adelaide, Adelaide 5005, AustraliaThe convergence confinement methods are solutions employed to estimate convergence in circular tunnels. They are mostly based on constitutive equations governed by the Mohr-Coulomb and Hoek-Brown yield criteria. However, the solutions based on these criteria neglect the intermediate principal stress confining effect on the ground reaction estimation. Therefore, in this paper, a Drucker-Prager yield criterion governed solution integrated with the Lode angle parameter is employed. It considers the intermediate principal stress influence and the critical effect of the parameter on failure characterization. Subsequently, it is verified with results attained from numerical simulations which consider an elastic-perfectly plastic constitutive law with a non-associative flow rule within FLAC3D. It was drawn from the results that the ground reaction and plastic evolution are influenced by the confining stress. Furthermore, considering a suitable yield criterion leads to realistic convergence and plastic evolution estimation. The circumscribed DP criterion governed solution with Lode angle parameter value (0.8) is considered appropriate for the realistic ground reaction estimation in the three-dimensional (3D) stress state rock mass. It estimates approximately 3.4% of tunnel convergence as compared to the classic solutions (5%) and plastic radius estimated to be approximately 2.45 m compared to 2.84 m.http://www.sciencedirect.com/science/article/pii/S2095268619305932Convergence confinement methodsDrucker-PragerGround reactionLode angle parameterYield criterion
spellingShingle Eugie Kabwe
Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
International Journal of Mining Science and Technology
Convergence confinement methods
Drucker-Prager
Ground reaction
Lode angle parameter
Yield criterion
title Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
title_full Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
title_fullStr Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
title_full_unstemmed Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
title_short Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
title_sort confining stress effect on the elastoplastic ground reaction considering the lode angle dependence
topic Convergence confinement methods
Drucker-Prager
Ground reaction
Lode angle parameter
Yield criterion
url http://www.sciencedirect.com/science/article/pii/S2095268619305932
work_keys_str_mv AT eugiekabwe confiningstresseffectontheelastoplasticgroundreactionconsideringthelodeangledependence