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The shear stiffness criterion for rock joints considering rock wear behaviour

Liren Ban, Chun Zhu, Chengzhi Qi, Zhigang Tao, Kuan Jiang and Jingtao Li
Quarterly Journal of Engineering Geology and Hydrogeology, 53, 266-275, 27 January 2020, https://doi.org/10.1144/qjegh2018-096
Liren Ban
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Writing - Original Draft (Lead)]
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Chun Zhu
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Lead)]
  • Find this author on Google Scholar
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Chengzhi Qi
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Funding acquisition (Lead)], [Writing - Review & Editing (Supporting)]
  • Find this author on Google Scholar
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  • For correspondence: qichengzhi65@126.com taozhigang@263.net
Zhigang Tao
2State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining & Technology (Beijing), , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Equal)]
  • Find this author on Google Scholar
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  • For correspondence: qichengzhi65@126.com taozhigang@263.net
Kuan Jiang
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Equal)]
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Jingtao Li
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Equal)]
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Abstract

Rock is a material that is affected by wear, and the curvature of the asperities on a rock joint surface increases with the degree of wear after shearing. Based on the Greenwood and Williamson (GW) model, a new model considering the change of asperity curvature is proposed to explain the wear behaviour of rock joints. First, the shear stiffness formula for a joint surface is derived when the asperity curvature is constant, which shows that the shear stiffness increases with increase of asperity curvature. According to the Mohr–Coulomb criterion, the yield position of a single asperity under normal force and tangential friction force is discussed. Then, the critical normal force for a single asperity at a specific friction coefficient is obtained, which shows that the normal force corresponds to the curvature radius of the asperity. A rough surface model with multi-level curvature radius is proposed. With increase of normal force, the higher-order asperities gradually fail and the curvature radius become larger. A specific pressure value excites a specific radius of curvature, and the larger the pressure, the larger the radius of curvature. The relation between the normal force and the curvature radius is proposed and a shear stiffness formula considering the change of curvature radius of the asperity is derived. The proposed model is verified on the basis of the published experimental results. The calculation results of the proposed model can reflect the test results well: for a given joint surface, with increase in normal force the joint surface gradually becomes smooth; for different joint surfaces, with increase in roughness, the joint surface is more easily smoothed.

  • © 2020 The Author(s). Published by The Geological Society of London. All rights reserved
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Quarterly Journal of Engineering Geology and Hydrogeology: 53 (2)
Quarterly Journal of Engineering Geology and Hydrogeology
Volume 53, Issue 2
May 2020
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The shear stiffness criterion for rock joints considering rock wear behaviour

Liren Ban, Chun Zhu, Chengzhi Qi, Zhigang Tao, Kuan Jiang and Jingtao Li
Quarterly Journal of Engineering Geology and Hydrogeology, 53, 266-275, 27 January 2020, https://doi.org/10.1144/qjegh2018-096
Liren Ban
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Writing - Original Draft (Lead)]
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Chun Zhu
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Lead)]
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Chengzhi Qi
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Funding acquisition (Lead)], [Writing - Review & Editing (Supporting)]
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • For correspondence: qichengzhi65@126.com taozhigang@263.net
Zhigang Tao
2State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining & Technology (Beijing), , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Equal)]
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • For correspondence: qichengzhi65@126.com taozhigang@263.net
Kuan Jiang
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Equal)]
  • Find this author on Google Scholar
  • Find this author on PubMed
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Jingtao Li
1School of Civil and Transportation Engineering, Beijing Advanced Innovation Center for Future Urban Design, Beijing University of Civil Engineering and Architecture, , China
Roles: [Conceptualization (Equal)], [Writing - Review & Editing (Equal)]
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The shear stiffness criterion for rock joints considering rock wear behaviour

Liren Ban, Chun Zhu, Chengzhi Qi, Zhigang Tao, Kuan Jiang and Jingtao Li
Quarterly Journal of Engineering Geology and Hydrogeology, 53, 266-275, 27 January 2020, https://doi.org/10.1144/qjegh2018-096
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    • Abstract
    • The shear stiffness criterion for rock joints assuming the curvature radius is constant
    • An improved model considering the changing curvature radius of the asperities
    • Test verification 1
    • Test verification 2
    • Conclusions
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