An analytical analysis of the full-range behaviour of grouted rockbolts based on a tri-linear bond-slip model |
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| Affiliation: | 1. Key Laboratory of Mechanics on Disaster and Environment in Western China, Lanzhou University, Lanzhou 730000, China;2. Department of Engineering, University of Liverpool, Liverpool L69 3GH, UK;3. Institute for Infrastructure and Environment, School of Engineering, The University of Edinburgh, Edinburgh EH9 3JL, Scotland, UK;1. Department of Mining Engineering, Tehran Science and Research Branch, Islamic Azad University, Tehran, Iran;2. Faculty of Mining, Metallurgy and Petroleum Engineering, Amir Kabir University of Technology, Tehran, Iran;3. Department of Petroleum and Mining Engineering, Shahid Bahonar University of Kerman, Iran;1. School of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, PR China;2. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong, China;1. Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;2. School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639789, Singapore;3. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;4. School of Engineering, Newcastle University, Newcastle Upon Tyne NE1 7RU, United Kingdom;1. School of Civil & Environmental Engineering, Nanyang Technological University, 50 Nanyang Ave, 639798, Singapore;2. School of Civil Engineering, Tianjin University, 135 Yaguan Road, Jinnan District, Tianjin 300354, China |
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| Abstract: | This paper presents an analytical solution for predicting the full-range mechanical behaviour of grouted rockbolts in tension based on a realistic tri-linear bond-slip model with residual bond strength at the grout–bolt interface. The full-range behaviour consists of five consecutive stages: elastic stage, elastic–softening stage, elastic–softening–debonding stage, softening–debonding stage and debonding stage. For each stage, closed-form solutions for the load–displacement relationship, interfacial shear stress distribution and bolt axial stress distribution along the bond length were derived. The ultimate load and the effective anchor length were also obtained. The analytical model was calibrated and validated against two pullout experimental studies. The predicted load–displacement curves as well as the distributions of the interfacial shear stress and the bolt axial stress are in close agreement with test results. A parametric study is also presented, providing insights into the behaviour of the rockbolts. |
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