A Generalized Load-Transfer Modeling Framework for Tensioned Anchors Integrating Adhesion–Friction-Based Interface Model
Publication: International Journal of Geomechanics
Volume 22, Issue 5
Abstract
The load-transfer mechanism of tensioned anchors is primarily concerned with in-service performance, which depends on the bond–slip behavior of anchoring interface. Because the interface bond–slip behavior is conventionally modeled using epistemic experience of specific researchers and/or back analysis of specific in situ testing results, it is challenging to develop a straightforward load-transfer analysis with extensive applicability. A generalized load-transfer modeling framework was implemented in this work by incorporating a versatile interface bond–slip model that can be derived from experimental characterization of respective types of element-anchoring interface. The adhesion and friction were modeled with interface slip to constitute the interface bond using rational and exponential functions, respectively. The pullout tests on element-scale and large-scale specimens of a typical anchor type (i.e., tensioned steel tube embedded in cemented soils) were carried out to calibrate the parameters of the interface model and to validate the predicting capability of the modeling framework, respectively. In addition, the versatility of this load-transfer modeling framework was examined for two other anchor types reported in the literature (i.e., tensioned rock anchor and tensioned GFRP anchor embedded in sands). The consistent good agreements between predictions and measurements of these anchor types verified the effectiveness and applicability of the generalized load-transfer modeling framework. Based on the load-transfer analysis for the tensioned steel tube in model testing, a parametric study was performed to investigate the impact of axial stiffness and bond length on load-transfer responses of the tensioned anchor.
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Acknowledgments
This research was sponsored by the National Natural Science Foundation of China (Grant Nos. 41572298, 51978254 and 51908201), Natural Science Foundation of Hunan Province (Grant No. 2020JJ5024), and Hunan Provincial Innovation Foundation for Postgraduate (Grant No. CX20210410). The authors appreciate their support.
References
ACI (American Concrete Institute). 2003. Bond and development of straight reinforcing bars in tension. ACI 408R-03. Farmington Hills, MI: ACI.
Benmokrane, B., A. Chennouf, and H. S. Mitri. 1995. “Laboratory evaluation of cement-based grouts and grouted rock anchors.” Int. J. Rock Mech. Min. Sci. 32 (7): 633–642. https://doi.org/10.1016/0148-9062(95)00021-8.
Cai, Y., T. Esaki, and Y. J. Jiang. 2004. “An analytical model to predict axial load in grouted rock bolt for soft rock tunneling.” Tunnelling Underground Space Technol. 19: 607–618. https://doi.org/10.1016/j.tust.2004.02.129.
Cao, H. Z. 1986. “Axial loading transfer of pile and numerical calculation method of loading-settlement curve.” Chin. J. Geotech. Eng. 8 (6): 37–49.
CECS (China Association for Engineering Construction Standardization). 2005. Technical specification for ground anchors. CECS 22. Beijing: China Planning Press.
CECS (China Association for Engineering Construction Standardization). 2016. Technical specification for soil mass with reinforced cement soil pile and anchors. CECS 147. Beijing: China Planning Press.
CEN (European Committee for Standardization). 2013. Execution of special geotechnical works – Ground anchors. EN 1537. Brussels, Belgium: CEN.
Chen, C. F., G. T. Liang, Y. Tang, and Y. L. Xu. 2015. “Anchoring solid-soil interface behavior using a novel laboratory testing technique.” Chin. J. Geotech. Eng. 37 (6): 1115–1122.
Chen, C. F., G. B. Zhang, J. G. Zornberg, A. M. Morsy, and J. B. Huang. 2020. “Interface bond behavior of tensioned glass fiber-reinforced polymer (GFRP) tendons embedded in cemented soils.” Constr. Build. Mater. 263: 120132. https://doi.org/10.1016/j.conbuildmat.2020.120132.
Chen, C. F., G. B. Zhang, J. G. Zornberg, A. M. Morsy, S. M. Zhu, and H. B. Zhao. 2018. “Interface behavior of tensioned bars embedded in cement-soil mixtures.” Constr. Build. Mater. 186: 840–853. https://doi.org/10.1016/j.conbuildmat.2018.07.211.
Chen, J. H., P. C. Hagan, and S. Saydam. 2017. “Sample diameter effect on bonding capacity of fully grouted cable bolts.” Tunnelling Underground Space Technol. 68: 238–243. https://doi.org/http://dx.doi.org/10.1016/j.tust.2017.06.004.
Chen, L. Z., G. Q. Liang, J. Y. Zhu, and W. Ge. 1994. “Analytical calculation of axial loading-settlement curve of piles.” Chin. J. Geotech. Eng. 16 (6): 30–38.
Chu, L. M., and J. H. Yin. 2005. “Comparison of interface shear strength of soil nails measured by both direct shear box tests and pullout tests.” J. Geotech. Geoenviron. Eng. 131: 1097–1107. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:9(1097).
Cooke, R. W., G. Price, and K. Tarr. 1979. “Jacked piles in London clay: A study of load transfer and settlement under working conditions.” Géotechnique 29 (2): 113–147. https://doi.org/10.1680/geot.1979.29.2.113.
Farmer, I. W. 1975. “Stress distribution along a resin grouted rock anchor.” Int. J. Rock Mech. Min. Sci. 12: 347–351. https://doi.org/10.1016/0148-9062(75)90168-0.
GB (Guobiao Standard). 2013. Technical code for building slope engineering. GB 50330. Beijing: China Architecture & Building Press.
Heydinger, A. G., and M. W. O'Neill. 1986. “Analysis of axial pile-soil interaction in clay.” Int. J. Numer. Anal. Methods Geomech. 10: 367–381. https://doi.org/10.1002/nag.1610100403.
Hong, C. Y., J. H. Yin, W. H. Zhou, and H. F. Pei. 2012. “Analytical study on progressive pullout behavior of a soil nail.” J. Geotech. Geoenviron. Eng. 138: 500–507. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000610.
Huang, M. H., Z. Zhou, and J. P. Ou. 2014. “Nonlinear full-range analysis of load transfer in fixed segment of tensile anchors.” Chin. J. Rock Mech. Eng. 33 (11): 2190–2199.
Hu, L. M., and J. L. Pu. 2004. “Testing and modeling of soil-structure interface.” J. Geotech. Geoenviron. Eng. 130 (8): 851–860. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:8(851).
Hyett, A. J., M. Moosavi, and W. F. Bawden. 1996. “Load distribution along fully grouted bolts, with emphasis on cable bolt reinforcement.” Int. J. Numer. Anal. Methods Geomech. 20 (7): 517–544. https://doi.org/10.1002/(SICI)1096-9853(199607)20:7%3C517::AID-NAG833%3E3.0.CO;2-L.
Kezdi, A. 1957. “Bearing capacity of piles and pile groups.” In Vol. 2 of Proc., of the 4th Int. Conf. on Soil Mechanics and Foundation Engineering, 46–51. London: Butterworths.
Kılıc, A., E. Yasar, and A. G. Celik. 2002. “Effect of grout properties on the pull-out load capacity of fully grouted rock bolt.” Tunnelling Underground Space Technol. 17: 355–365. https://doi.org/10.1016/S0886-7798(02)00038-X.
Kishida, H., and M. Uesugi. 1987. “Tests of the interface between sand and steel in the simple shear apparatus.” Geotechnique 37 (1): 45–52. https://doi.org/10.1680/geot.1987.37.1.45.
Kraft, L. M., R. P. Ray, and T. Kagawa. 1981. “Theoretical t-z curves.” J. Geotech. Eng. Div. 107 (11): 1543–1561. https://doi.org/10.1061/AJGEB6.0001207.
Li, C., and B. Stillborg. 1999. “Analytical models for rock bolts.” Int. J. Rock Mech. Min. Sci. 36 (8): 1013–1029. https://doi.org/10.1016/S1365-1609(99)00064-7.
Liu, C. N., J. G. Zornberg, T. C. Chen, Y. H. Ho, and B. H. Lin. 2009. “Behavior of geogrid-sand interface in direct shear mode.” J. Geotech. Geoenviron. Eng. 135 (12): 1863–1871. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000150.
Martinez, A., J. D. Frost, and G. L. Hebeler. 2015. “Experimental study of shear zones formed at sand/steel interfaces in axial and torsional axisymmetric tests.” Geotech. Test. J. 38 (4): 20140266. https://doi.org/10.1520/GTJ20140266.
Martín, L. B., M. Tijani, and F. Hadj-Hassen. 2011. “A new analytical solution to the mechanical behaviour of fully grouted rockbolts subjected to pull-out tests.” Constr. Build. Mater. 25 (2): 749–755. https://doi.org/10.1016/j.conbuildmat.2010.07.011.
Ma, S. Q., J. Nemcik, and N. Aziz. 2013. “An analytical model of fully grouted rock bolts subjected to tensile load.” Constr. Build. Mater. 49: 519–526. https://doi.org/10.1016/j.conbuildmat.2013.08.084.
Ma, S. Q., Z. Y. Zhao, W. Nie, and Y. L. Gui. 2016. “A numerical model of fully grouted bolts considering the tri-linear shear bond–slip model.” Tunnelling Underground Space Technol. 54: 73–80. https://doi.org/10.1016/j.tust.2016.01.033.
Moayed, R. Z., M. Hosseinali, S. M. Shirkhorshidi, and J. Sheibani. 2019. “Experimental investigation and constitutive modeling of grout–sand interface.” Int. J. Geomech. 19 (5): 04019024. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001384.
PTI (Post-Tensioning Institute). 2014. Recommendations for prestressed rock and soil anchors. 5th ed. DC35.1-14. Phoenix, AZ: PTI.
Rajaie, H. 1990. “Experimental and numerical investigations of cable bolt support systems.” Ph.D. thesis. Dept. of Mining and Metallurgical Engineering, McGill Univ.
Ren, F. F., Z. J. Yang, J. F. Chen, and W. W. Chen. 2010. “An analytical analysis of the full-range behaviour of grouted rockbolts based on a tri-linear bond-slip model.” Constr. Build. Mater. 24: 361–370. https://doi.org/10.1016/j.conbuildmat.2009.08.021.
Richard, R. M., and B. J. Abbott. 1975. “Versatile elastic-plastic stress-strain formula.” J. Eng. Mech. Div. 101 (4): 511–515. https://doi.org/10.1061/JMCEA3.0002047.
Rong, G., H. C. Zhu, and C. B. Zhou. 2004. “Testing study on working mechanism of fully grouted bolts of thread steel and smooth steel.” Chin. J. Rock Mech. Eng. 23 (3): 469–475.
Satoru, S. 1965. “Mechanism of bearing capacity of the pile.” Civ. Eng. Technol. 20 (1): 1–5.
Seed, H. B., and L. C. Reese. 1957. “The action of soft clay along friction piles.” Trans. Am. Soc. Civ. Eng. 122 (1): 731–754. https://doi.org/10.1061/TACEAT.0007501.
Su, L. J., T. C. F. Chan, J. H. Yin, Y. K. Shiu, and S. L. Chiu. 2008. “Influence of overburden pressure on soil–nail pullout resistance in a compacted fill.” J. Geotech. Geoenviron. Eng. 134: 1339–1347. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:9(1339).
Su, L. J., J. H. Yin, and W. H. Zhou. 2010. “Influences of overburden pressure and soil dilation on soil nail pull-out resistance.” Comput. Geotech. 37: 555–564. https://doi.org/10.1016/j.compgeo.2010.03.004.
Toufigh, V., S. M. Shirkhorshidi, and M. Hosseinali. 2017. “Experimental investigation and constitutive modeling of polymer concrete and sand interface.” Int. J. Geomech. 17 (1): 04016043. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000695.
Vijayvergiya, V. N. 1977. “Load-movement characteristics of piles.” In Proc., 4th Annual Symp. of the Waterway, Port, Coastal, and Ocean Division of ASCE, 269–284. New York: ASCE.
Wang, M. 1983. “Mechanism of full-column rock bolt.” J. China Coal Soc. 1: 40–47.
Wong, K. S., and C. I. Teh. 1995. “Negative skin friction on piles in layered deposits.” J. Geotech. Eng. 121 (6): 457–465. https://doi.org/10.1061/(ASCE)0733-9410(1995)121:6(457).
Ye, X. Y., Q. Wang, S. Y. Wang, S. Sloan, and D. C. Sheng. 2019. “Performance of a compaction-grouted soil nail in laboratory tests.” Acta Geotech. 14: 1049–1063. https://doi.org/10.1007/s11440-018-0693-y.
Yin, J. H., L. J. Su, R. W. M. Cheung, Y. K. Shiu, and C. Tang. 2009. “The influence of grouting pressure on the pullout resistance of soil nails in compacted completely decomposed granite fill.” Geotechnique 59 (2): 103–113. https://doi.org/10.1680/geot.2008.3672.
Yin, J. H., and W. H. Zhou. 2009. “Influence of grouting pressure and overburden stress on the interface resistance of a soil nail.” J. Geotech. Geoenviron. Eng. 135: 1198–1208. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000045.
You, C. A. 2000. “Mechanical analysis on wholly grouted anchor.” Chin. J. Rock Mech. Eng. 19 (3): 339–341.
You, C.A. 2004. “Theory and application study on stress-transfer mechanism of anchoring system.” Ph.D. thesis, College of Natural Resources and Environmental Engineering, Shandong Univ. of Science and Technology.
Yu, C., and S. Y. Liu. 2005. “Research on behaviors of single pile considering softening of pile-side soil.” Rock Soil Mech. 26 (S1): 133–136.
Zhang, C. C., H. H. Zhu, B. Shi, F. D. Wu, and J. H. Yin. 2015. “Experimental investigation of pullout behavior of fiber-reinforced polymer reinforcements in sand.” J. Compos. Constr. 19 (3): 04014062. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000526.
Zhang, G. B., C. F. Chen, J. G. Zornberg, A. M. Morsy, and F. S. Mao. 2020. “Interface creep behavior of grouted anchors in clayey soils: Effect of soil moisture condition.” Acta Geotech. 15: 2159–2177. https://doi.org/10.1007/s11440-019-00907-6.
Zhang, G.B. 2018. “Interface characterization and load transfer analyses for anchored systems.” Ph.D. thesis. College of Civil Engineering, Hunan Univ.
Zhang, Q. Q., and Z. M. Zhang. 2012. “A simplified nonlinear approach for single pile settlement analysis.” Can. Geotech. J. 49 (11): 1256–1266. https://doi.org/10.1139/t11-110.
Zhou, W. H., J. H. Yin, and C. Y. Hong. 2011. “Finite element modeling of pullout testing on a soil nail in a pullout box under different overburden and grouting pressures.” Can. Geotech. J. 48: 557–567. https://doi.org/10.1139/t10-086.
Zhu, H., and M. F. Chang. 2002. “Load transfer curves along bored piles considering modulus degradation.” J. Geotech. Geoenviron. Eng. 128 (9): 764–774. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:9(764).
Zhu, S. M., C. F. Chen, F. S. Mao, and H. Cai. 2021. “Application of disturbed state concept for load-transfer modeling of recoverable anchors in layer soils.” Comput. Geotech. 137: 104292. https://doi.org/10.1016/j.compgeo.2021.104292.
Zou, J. F., and P. H. Zhang. 2019. “Analytical model of fully grouted bolts in pull-out tests and in situ rock masses.” Int. J. Rock Mech. Min. Sci. 113: 278–294. https://doi.org/10.1016/j.ijrmms.2018.11.015.
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International Journal of Geomechanics
Volume 22 • Issue 5 • May 2022
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© 2022 American Society of Civil Engineers.
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Received: Apr 9, 2021
Accepted: Dec 6, 2021
Published online: Feb 25, 2022
Published in print: May 1, 2022
Discussion open until: Jul 25, 2022
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