Research on H-3K Creep Coupling Calculation Model of Long-Term Prestress Loss of Anchor Cables
Publication: International Journal of Geomechanics
Volume 24, Issue 2
Abstract
Prestress loss of anchor cables can cause a change in the internal force for the support structure of a foundation pit or slope, which may cause engineering accidents. The coupling effect between an anchor cable and the creep of rock and soil is the main factor that leads to the loss of prestress of the anchor cables. However, the traditional Hooke–Kelvin (H-K) viscoelastic model could not accurately predict the long-term loss of prestress. To solve this problem, based on the H-K viscoelastic model, a new H-3K viscoelastic model was proposed, consisting of two generalized Kelvin bodies connected in parallel, and its creep equation and relaxation equation were also derived. Focusing on slope engineering in Longnan City, Gansu Province, China, the prestress of anchor cables calculated by the proposed model were compared with the monitoring data. The result that the H-K creep coupling model is more accurate in predicting prestress loss of anchor cables in the initial stage, but from a long-term perspective, the H-3K creep coupling model provided a more accurate prediction. By connecting more generalized Kelvin bodies in parallel, stress shared by the elastic body can be reduced and stress loss due to anchor cable relaxation can be approximately compensated for to make the prediction results closer to the monitored values. However, when there are more than three Kelvin bodies in parallel, the model prediction results will change only slightly. Therefore, the H-3K creep coupling model is sufficient for practical engineering.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions. Monitoring data is not available. MATLAB genetic algorithm program code can be provided without restrictions.
Acknowledgments
The authors gratefully acknowledge the financial support of Hong Liu Outstanding Youth Fund of Lanzhou University of Technology. This study was supported by the National Natural Science Foundation of China (Grant No. 52068048), the Technology Project of Gansu Provincial Department of Housing and Urban-Rural Development Construction (Grant No. JK2022-03).
References
Chen, A. M., J. C. Gu, J. Shen, and Z. Q. Ming. 2002. “Model testing research on the variation of tension force of anchor cable with time in reinforcement of soft rocks.” Chin. J. Rock Mech. Eng. 21 (2): 251–256. https://doi.org/1000-6915(2002)21:2<251:RYJGZM>2.0.TX;2-8.
Chen, G., T. Chen, Y. Chen, R. Huang, and M. Liu. 2018. “A new method of predicting the prestress variations in anchored cables with excavation unloading destruction.” Eng. Geol. 241: 109–120. https://doi.org/10.1016/j.enggeo.2018.05.015.
Chen, Y. J., J. Yin, and Y. F. Hu. 2013. “Research on prestress quantitative loss law of soft rock slope anchor cable.” Chin. J. Rock Mech. Eng. 32 (8): 1685–1691. https://doi.org/10.3969/j.issn.1000-6915.2013.08.022.
Chung, K., J. Chung, and S. Choi. 2007. “Prediction of pre- and post-peak behavior of concrete-filled circular steel tube columns under cyclic loads using fiber element method.” Thin-Walled Struct. 45 (9): 747–758. https://doi.org/10.1016/j.tws.2009.03.005.
Gao, X., J. Jia, G. Mei, X. Bao, L. Zhang, and X. Liao. 2022. “A new prestress loss calculation model of anchor cable in pile–anchor structure.” Mathematics 10 (8): 1260. https://doi.org/10.3390/math10081260.
Huang, M. H., M. H. Zhao, and C. F. Chen. 2018. “Influence of anchorage length on stress in bolt and its critical value calculation.” Rock Soil Mech. 39 (11): 4033–4043. https://doi.org/10.16285/j.rsm.2017.0475.
Jia, Z. B., L. J. Tao, and M. Shi. 2020. “Stability analysis of prestressed anchor cable slope under seismic loads.” Rock Soil Mech. 41 (11): 1–11. https://doi.org/10.16285/j.rsm.2020.0104.
Kumar, R., K. G. Sharma, and A. Varadarajan. 2010. “Post-peak response of some metamorphic rocks of India under high confining pressures.” Int. J. Rock Mech. Min. Sci. 47 (8): 1357–1362. https://doi.org/10.1016/j.ijrmms.2010.08.016.
Ozhan, H. O., and E. Guler. 2017. “Critical tendon bond length for prestressed ground anchors in pullout performance tests conducted in sand.” Int. J. Civ. Eng. Trans. A: Civ. Eng. 16 (10): 1329–1340. https://doi.org/10.1007/s40999-017-0261-0.
Shi, K., X. Wu, Z. Liu, and S. Dai. 2019. “Coupled calculation model for anchoring force loss in a slope reinforced by a frame beam and anchor cables.” Eng. Geol. 260: 105245. https://doi.org/10.1016/j.enggeo.2019.105245.
Trzeciak, M., H. Sone, and M. Dabrowski. 2018. “Long-term creep tests and viscoelastic constitutive modeling of lower paleozoic shales from the Baltic basin, N Poland.” Int. J. Rock Mech. Min. Sci. 112: 139–157. https://doi.org/10.1016/j.ijrmms.2018.10.013.
Wang, Q. B., C. Zhang, H. Wang, X. K. Wen, Z. Y. Shi, R. S. Lv, and T. T. Wang. 2014. “Study of coupling effect between anchorage force loss of prestressed anchor cable and rock and soil creep.” Rock Soil Mech. 35 (8): 2150–2162. https://doi.org/10.16285/j.rsm.2014.08.006.
Wang, Y., R. Cao, J. Pi, L. Jiang, and Y. Zhao. 2020. “Mechanical properties and analytic solutions of prestressed linings with unbonded annular anchors under internal water loading.” Tunnelling Underground Space Technol. 2020 (97): 103244. https://doi.org/10.1016/j.tust.2019.103244.
Xiang, W., Y. Q. Zhang, and J. G. Zhang. 2015. “Analytical intelligence inversion method of rheological parameters for dam zone rock and soil mass and its application to engineering.” Rock Soil Mech. 36 (5): 1505–1513. https://doi.org/10.16285/j.rsm.2015.05.035.
Xu, Y. Q., S. Y. Deng, and Q. Ge. 2020. “Study on the prediction model of the short-term and long-term pre-stress loss of anchor cable.” Rock Soil Mech. 41 (5): 1–7. https://doi.org/10.16285/j.rsm.2019.0099.
Yang, Q. G., X. Liu, J. Liu, J. He, L. C. Liang, and B. Chen. 2020. “Pullout test effect analysis of prestressed anchor cable for pre-grouting in free segment.” Rock Soil Mech. 41 (10): 3317–3325. https://doi.org/10.16285/j.rsm.2020.0050.
Zhang, F. M., N. Liu, Z. Y. Chen, and W. B. Zhao. 2003. “Analysis of factors affected on load losses of high capacity and long rock anchors.” Rock Soil Mech. 24 (2): 194–197. https://doi.org/10.16285/j.rsm.2003.02.011.
Zhou, Y., and Y. P. Zhu. 2012. “Research on anti-pulling force of anchor of flexible supporting system with prestressed anchors.” Rock Soil Mech. 33 (2): 415–422. https://doi.org/10.16285/j.rsm.2012.02.039.
Zhu, B., Y. Song, H. Wang, and Y. Li. 2020. “Coupling effect of creep deformation and prestress loss of anchored jointed rock.” Adv. Civ. Eng. 2020: 8850975. https://doi.org/10.1155/2020/8850975.
Zhu, H. Y., H. Y. Sun, H. B. Wang, X. Lu, and Y. Shang. 2004. “Analysis on prestress state of cable applied to rock slope reinforcement.” Chin. J. Rock Mech. Eng. 23 (16): 2756–2760. https://doi.org/1000-6915(2004)23:16<2756:BPJGMS>2.0.TX;2-3.
Zhu, Z., Y. Q. Li, and D. Huang. 2022. “Prestress loss mechanism and constitutive model of an anchored joint rock and soil mass under low-frequency fatigue loading.” Rock Mech. Rock Eng. 56: 1517–1535. https://doi.org/10.1007/s00603-022-03131-z.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 24 • Issue 2 • February 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Feb 8, 2023
Accepted: Aug 8, 2023
Published online: Dec 8, 2023
Published in print: Feb 1, 2024
Discussion open until: May 8, 2024
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.