An Extension Failure Criterion for Brittle Rock

Under the triaxial compressive state, the compressive strain is supposed to happen in the direction of the maximum principal stress, but tensile strain happens in the direction of the minimum principal stress. Moreover, as the intermediate principal stress is not too high, the corresponding strain c...

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Main Authors: Aizhong Lu, Ning Zhang, Guisen Zeng
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/8891248
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spelling doaj-6176b8f9263c4e3fa63ce8f0a1301bf12020-11-25T04:01:06ZengHindawi LimitedAdvances in Civil Engineering1687-80942020-01-01202010.1155/2020/88912488891248An Extension Failure Criterion for Brittle RockAizhong Lu0Ning Zhang1Guisen Zeng2Institute of Hydroelectric and Geotechnical EngineeringInstitute of Hydroelectric and Geotechnical EngineeringElectric Power Research Institute of Guizhou Power Grid Co., Ltd., GuiyangUnder the triaxial compressive state, the compressive strain is supposed to happen in the direction of the maximum principal stress, but tensile strain happens in the direction of the minimum principal stress. Moreover, as the intermediate principal stress is not too high, the corresponding strain can also be tensile. If the brittle rock is assumed as linear elastic in the prefailure stage, a new strength criterion based on the sum of the two tensile strains was presented. The new criterion considers the differences in mechanical parameters (i.e., elastic modulus and Poisson’s ratio) under tension and compression. The parameters of the criterion only include Poisson’s ratio and uniaxial strength. And the effect of the intermediate principal stress σ2 can be reflected. Certain featured failure phenomenon of rock material can be explained well by the proposed criterion. The results of conventional and true triaxial tests can verify the criterion well. Finally, the criterion is compared with the Mohr–Coulomb and Drucker–Prager criteria.http://dx.doi.org/10.1155/2020/8891248
collection DOAJ
language English
format Article
sources DOAJ
author Aizhong Lu
Ning Zhang
Guisen Zeng
spellingShingle Aizhong Lu
Ning Zhang
Guisen Zeng
An Extension Failure Criterion for Brittle Rock
Advances in Civil Engineering
author_facet Aizhong Lu
Ning Zhang
Guisen Zeng
author_sort Aizhong Lu
title An Extension Failure Criterion for Brittle Rock
title_short An Extension Failure Criterion for Brittle Rock
title_full An Extension Failure Criterion for Brittle Rock
title_fullStr An Extension Failure Criterion for Brittle Rock
title_full_unstemmed An Extension Failure Criterion for Brittle Rock
title_sort extension failure criterion for brittle rock
publisher Hindawi Limited
series Advances in Civil Engineering
issn 1687-8094
publishDate 2020-01-01
description Under the triaxial compressive state, the compressive strain is supposed to happen in the direction of the maximum principal stress, but tensile strain happens in the direction of the minimum principal stress. Moreover, as the intermediate principal stress is not too high, the corresponding strain can also be tensile. If the brittle rock is assumed as linear elastic in the prefailure stage, a new strength criterion based on the sum of the two tensile strains was presented. The new criterion considers the differences in mechanical parameters (i.e., elastic modulus and Poisson’s ratio) under tension and compression. The parameters of the criterion only include Poisson’s ratio and uniaxial strength. And the effect of the intermediate principal stress σ2 can be reflected. Certain featured failure phenomenon of rock material can be explained well by the proposed criterion. The results of conventional and true triaxial tests can verify the criterion well. Finally, the criterion is compared with the Mohr–Coulomb and Drucker–Prager criteria.
url http://dx.doi.org/10.1155/2020/8891248
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