An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions
Jointed rock masses during underground excavation are commonly located under the constant normal stiffness (CNS) condition. This paper presents an analytical formulation to predict the shear behaviour of rough rock joints under the CNS condition. The dilatancy and deterioration of two-order asperiti...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/141460 |
| _version_ | 1826110265399181312 |
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| author | Li, Yingchun Wu, Wei Li, Bo |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Li, Yingchun Wu, Wei Li, Bo |
| author_sort | Li, Yingchun |
| collection | NTU |
| description | Jointed rock masses during underground excavation are commonly located under the constant normal stiffness (CNS) condition. This paper presents an analytical formulation to predict the shear behaviour of rough rock joints under the CNS condition. The dilatancy and deterioration of two-order asperities are quantified by considering the variation of normal stress. We separately consider the dilation angles of waviness and unevenness, which decrease to zero as the normal stress approaches the transitional stress. The sinusoidal function naturally yields the decay of dilation angle as a function of relative normal stress. We assume that the magnitude of transitional stress is proportionate to the square root of asperity geometric area. The comparison between the analytical prediction and experimental data shows the reliability of the analytical model. All the parameters involved in the analytical model possess explicit physical meanings and are measurable from laboratory tests. The proposed model is potentially practicable for assessing the stability of underground structures at various field scales. |
| first_indexed | 2024-10-01T02:31:34Z |
| format | Journal Article |
| id | ntu-10356/141460 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:31:34Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1414602020-06-08T09:10:03Z An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions Li, Yingchun Wu, Wei Li, Bo School of Civil and Environmental Engineering Engineering::Civil engineering Rock Joint Constant Normal Stifness Jointed rock masses during underground excavation are commonly located under the constant normal stiffness (CNS) condition. This paper presents an analytical formulation to predict the shear behaviour of rough rock joints under the CNS condition. The dilatancy and deterioration of two-order asperities are quantified by considering the variation of normal stress. We separately consider the dilation angles of waviness and unevenness, which decrease to zero as the normal stress approaches the transitional stress. The sinusoidal function naturally yields the decay of dilation angle as a function of relative normal stress. We assume that the magnitude of transitional stress is proportionate to the square root of asperity geometric area. The comparison between the analytical prediction and experimental data shows the reliability of the analytical model. All the parameters involved in the analytical model possess explicit physical meanings and are measurable from laboratory tests. The proposed model is potentially practicable for assessing the stability of underground structures at various field scales. 2020-06-08T09:10:02Z 2020-06-08T09:10:02Z 2018 Journal Article Li, Y., Wu, W., & Li, B. (2018). An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions. Rock Mechanics and Rock Engineering, 51(5), 1431-1445. doi:10.1007/s00603-018-1405-5 0723-2632 https://hdl.handle.net/10356/141460 10.1007/s00603-018-1405-5 2-s2.0-85041125028 5 51 1431 1445 en Rock Mechanics and Rock Engineering © 2018 Springer-Verlag GmbH Austria, part of Springer Nature. All rights reserved. |
| spellingShingle | Engineering::Civil engineering Rock Joint Constant Normal Stifness Li, Yingchun Wu, Wei Li, Bo An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions |
| title | An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions |
| title_full | An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions |
| title_fullStr | An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions |
| title_full_unstemmed | An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions |
| title_short | An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions |
| title_sort | analytical model for two order asperity degradation of rock joints under constant normal stiffness conditions |
| topic | Engineering::Civil engineering Rock Joint Constant Normal Stifness |
| url | https://hdl.handle.net/10356/141460 |
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