Technical Papers
Nov 2, 2021

A Limit Solution for Predicting Side Resistance on Rock-Socketed Piles

Publication: Journal of Engineering Mechanics
Volume 148, Issue 1

Abstract

The mobilization of side resistance of rock-socketed pile strongly depends on the shear behavior of the pile-rock interface. In this study, an asperity-based model was developed to investigate essential responses of interface shear, where asperities develop from sliding with interface dilation to residual shear under the condition of constant normal stiffness (CNS). The emphasis was on quantifying the magnitude of interface dilation in terms of limit analysis solutions. Followed by the proposed upper bound (UB) and lower bound (LB) solutions for asperity collapse loads, the mean value was chosen for approaching the potential exact solution. Laboratory experiments of direct shear tests under CNS conditions were also carried out by the authors, and observations were regarded as evidence that the proposed modeling provided a rational explanation of shear behavior for a pile-rock interface. Parametric studies indicated that two key factors, roughness and material properties, significantly impact the mobilization of ultimate side resistance.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This research is a part of work carried out by grants from the National Natural Science Foundation of China (Nos. 51978255 and 52108317).

References

Barton, N., and V. Choubey. 1977. “The shear strength of rock joints in theory and practice.” Rock Mech. 10 (1): 1–54. https://doi.org/10.1007/BF01261801.
Benmokrane, B., K. S. Mouchaorab, and G. Ballivy. 1994. “Laboratory investigation of shaft resistance of rock-socketed piers using the constant normal stiffness direct shear test.” Can. Geotech. J. 31 (3): 407–419. https://doi.org/10.1139/t94-048.
Boresi, A. P. 1965. Elasticity in engineering mechanics. Englewood Cliffs, NJ: Prentice Hall.
Cao, Z., B. Xu, Y. Cai, R. Galindo-Aires, and C. Li. 2021. “Solution of the ultimate bearing capacity at the tip of a pile in anisotropic discontinuous rock mass based on the Hoek–Brown criterion.” Int. J. Geomech. 21 (2): 04020254. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001919.
Carrubba, P. 1997. “Skin friction on large-diameter piles socketed into rock.” Can. Geotech. J. 34 (2): 230–240. https://doi.org/10.1139/t96-104.
Chen, J., R. B. Gilbert, Y. S. Choo, P. W. Marshall, and J. D. Murff. 2016. “Two-dimensional lower bound analysis of offshore pile foundation systems.” Int. J. Numer. Anal. Methods Geomech. 40 (9): 1321–1338. https://doi.org/10.1002/nag.2488.
Chen, J., R. B. Gilbert, J. D. Murff, and P. W. Marshall. 2020. “Three-dimensional lower and upper bound analyses of pile systems.” Int. J. Geomech. 20 (12): 04020224. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001874.
Chen, W. F. 1975. Limit analysis and soil plasticity, 107–156. Amsterdam: Elsevier.
Chen, W. F., and D. C. Drucker. 1969. “Bearing capacity of concrete blocks or rock.” J. Eng. Mech. Div. 95 (4): 955–978. https://doi.org/10.1061/JMCEA3.0001149.
Ching, J., H. D. Lin, and M. T. Yen. 2011. “Calibrating resistance factors of single bored piles based on incomplete load test results.” J. Eng. Mech. 137 (5): 309–323. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000230.
Dai, G., R. Salgado, W. M. Gong, and M. X. Zhu. 2017. “The effect of sidewall roughness on the shaft resistance of rock-socketed piles.” Acta Geotech. 12 (2): 429–440. https://doi.org/10.1007/s11440-016-0470-8.
Dong, W., Z. Wu, and X. Zhou. 2016. “Fracture mechanisms of rock-concrete interface: Experimental and numerical.” J. Eng. Mech. 142 (7): 04016040. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001099.
Drucker, D. C., W. Prager, and H. J. Greenberg. 1952. “Extended limit design theorems for continuous media.” Q. Appl. Math. 9 (4): 381–389. https://doi.org/10.1090/qam/45573.
Gilbert, R. B., S. S. Najjar, and Y. J. Choi. 2005. “Incorporating lower-bound capacities into LRFD codes for pile foundations.” In Contemporary issues in foundation engineering, 1–17. Reston, VA: ASCE.
Haque, A., and J. Kodikara. 2012. “A simplified analytical model for predicting the shear behaviour of regular triangular rock/concrete joints under constant normal stiffness.” Géotechnique 62 (2): 171–176. https://doi.org/10.1680/geot.8.T.018.
Horvath, R. G., T. C. Kenney, and P. Kozicki. 1983. “Methods of improving the performance of drilled piers in weak rock.” Can. Geotech. J. 20 (4): 758–772. https://doi.org/10.1139/t83-081.
Indraratna, B., A. Haque, and N. Aziz. 1998. “Laboratory modelling of shear behaviour of soft joints under constant normal stiffness conditions.” Geotech. Geol. Eng. 16 (1): 17–44. https://doi.org/10.1023/A:1008880112926.
Johnston, I. W., and T. S. Lam. 1989. “Shear behavior of regular triangular concrete/rock joints—Analysis.” J. Geotech. Eng. 115 (5): 711–727. https://doi.org/10.1061/(ASCE)0733-9410(1989)115:5(711).
Johnston, I. W., T. S. K. Lam, and A. F. Williams. 1987. “Constant normal stiffness direct shear testing for socketed pile design in weak rock.” Géotechnique 37 (1): 83–89. https://doi.org/10.1680/geot.1987.37.1.83.
Kaderabek, T. J., and R. T. Reynolds. 1981. “Miami limestone foundation design and construction.” J. Geotech. Eng. Div. 107 (7): 859–872. https://doi.org/10.1061/AJGEB6.0001166.
Ladanyi, B., and G. Archambault. 1970. “Simulation of shear behaviour of a jointed rock mass.” In Rock mechanics, edited by W. H. Somerton, 105–125. Berkeley, CA: OnePetro.
Liang, F. Y., H. Zhang, and J. Wang. 2015. “Variational solution for the effect of vertical load on the lateral response of offshore piles.” Ocean Eng. 99 (May): 23–33. https://doi.org/10.1016/j.oceaneng.2015.03.004.
Nam, M. S., and C. Vipulanandan. 2008. “Roughness and unit side resistances of drilled shafts socketed in clay shale and limestone.” J. Geotech. Geoenviron. Eng. 134 (9): 1272–1279. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:9(1272).
Ni, P., L. Song, G. Mei, and Y. Zhao. 2017. “Generalized nonlinear softening load-transfer model for axially loaded piles.” Int. J. Geomech. 17 (8): 04017019. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000899.
O’Neill, M. W., F. C. Townsend, K. M. Hassan, A. Buller, and P. S. Chan. 1996. Load transfer for drilled shafts in intermediate geomaterials. FHWA-RD-95-172. McLean, VA: Federal Highway Administration.
Patton, F. D. 1966. “Multiple modes of shear failure in rock.” In Vol. 1 of Proc., 1st Int. Congress on Rock Mechanics, 509–513. New York: Springer.
Seidel, J. P., and B. Collingwood. 2001. “A new socket roughness factor for prediction of rock socket shaft resistance.” Can. Geotech. J. 38 (1): 138–153. https://doi.org/10.1139/t00-083.
Seidel, J. P., and C. M. Haberfield. 1995. “Towards an understanding of joint roughness.” Rock Mech. Rock Eng. 28 (2): 69–92. https://doi.org/10.1007/BF01020062.
Seidel, J. P., and C. M. Haberfield. 2002. “A theoretical model for rock joints subjected to constant normal stiffness direct shear.” Int. J. Rock Mech. Min. Sci. 39 (5): 539–553. https://doi.org/10.1016/S1365-1609(02)00056-4.
Seol, H., S. Jeong, C. Cho, and K. You. 2008. “Shear load transfer for rock-socketed drilled shafts based on borehole roughness and geological strength index (GSI).” Int. J. Rock Mech. Min. Sci. 45 (6): 848–861. https://doi.org/10.1016/j.ijrmms.2007.09.008.
Serrano, A., and C. Olalla. 2004. “Shaft resistance of a pile embedded in rock.” Int. J. Rock Mech. Min. Sci. 41 (1): 21–35. https://doi.org/10.1016/S1365-1609(03)00070-4.
Serrano, A., and C. Olalla. 2006. “Shaft resistance of piles in rock: Comparison between in situ test data and theory using the Hoek and Brown failure criterion.” Int. J. Rock Mech. Min. Sci. 43 (5): 826–830. https://doi.org/10.1016/j.ijrmms.2005.11.008.
Serrano, A., C. Olalla, and R. A. Galindo. 2014. “Micromechanical basis for shear strength of rock discontinuities.” Int. J. Rock Mech. Min. Sci. 70 (Sep): 33–46. https://doi.org/10.1016/j.ijrmms.2014.02.021.
Serrano, A., C. Olalla, and R. A. Galindo. 2015. “Shaft resistance of a pile in rock based on the modified Hoek-Brown criterion.” Int. J. Rock Mech. Min. Sci. 76 (2): 138–145. https://doi.org/10.1016/j.ijrmms.2015.03.007.
Shield, R. T. 1954. “Stress and velocity fields in soil mechanics.” J. Math. Phys. 33 (1–4): 144–156. https://doi.org/10.1002/sapm1954331144.
Ulusay, R. 2015. The ISRM suggested methods for rock characterization, testing and monitoring. New York: Springer.
Williams, A., and P. J. N. Pells. 1981. “Side resistance rock sockets in sandstone, mudstone, and shale.” Can. Geotech. J. 18 (4): 502–513. https://doi.org/10.1139/t81-061.
Xu, J., A. Haque, W. Gong, R. P. Gamage, G. Dai, Q. Zhang, and F. Xu. 2020. “Experimental study on the bearing mechanisms of rock-socketed piles in soft rock based on micro X-ray CT analysis.” Rock Mech. Rock Eng. 53 (8): 3395–3416. https://doi.org/10.1007/s00603-020-02121-3.
Xu, M., P. Ni, X. Ding, and G. Mei. 2019. “Physical and numerical modelling of axially loaded bored piles with debris at the pile tip.” Comput. Geotech. 114 (3): 103146. https://doi.org/10.1016/j.compgeo.2019.103146.
Xu, M., P. Ni, G. Mei, and Y. Zhao. 2018. “Load-settlement behaviour of bored piles with loose sediments at the pile tip: Experimental, numerical and analytical study.” Comput. Geotech. 102 (3): 92–101. https://doi.org/10.1016/j.compgeo.2018.06.010.
Yang, X. L. 2018. “Lower-bound analytical solution for bearing capacity factor using modified Hoek-Brown failure criterion.” Can. Geotech. J. 55 (4): 577–583. https://doi.org/10.1139/cgj-2016-0694.
Zhao, H., J. C. Hou, L. Zhang, and C. Zhang. 2020. “Vertical load transfer for bored piles buried in cohesive intermediate geomaterials.” Int. J. Geomech. 20 (10): 04020172. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001810.
Zhao, H., J. C. Hou, L. Zhang, and M. H. Zhao. 2021. “Towards concrete-rock interface shear containing similar triangular asperities.” Int. J. Rock Mech. Min. Sci. 137 (Jan): 104547. https://doi.org/10.1016/j.ijrmms.2020.104547.
Zhao, H., Y. Xiao, M. H. Zhao, and P. B. Yin. 2017. “On behavior of load transfer for drilled shafts embedded in weak rocks.” Comput. Geotech. 85 (1): 177–185. https://doi.org/10.1016/j.compgeo.2016.12.023.
Zhao, H., S. Zhou, and M. H. Zhao. 2019. “Load transfer in drilled piles for concrete-rock interfaces with similar triangular asperities.” Int. J. Rock Mech. Min. Sci. 120 (4): 58–67. https://doi.org/10.1016/j.ijrmms.2019.06.003.
Zhou, H., H. Liu, X. Li, and X. Ding. 2020. “Plasticity solution for the limit vertical pressure of a single rigid pile with a pile cap in soft soil.” Comput. Geotech. 117 (Jan): 103260. https://doi.org/10.1016/j.compgeo.2019.103260.
Zhou, M., H. Liu, Y. Chen, and Y. X. Hu. 2016. “First application of cast-in-place concrete large-diameter pipe (PCC) pile-reinforced railway foundation: A field study.” Can. Geotech. J. 53 (4): 708–716. https://doi.org/10.1139/cgj-2014-0547.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 1January 2022

History

Received: Jun 4, 2021
Accepted: Sep 17, 2021
Published online: Nov 2, 2021
Published in print: Jan 1, 2022
Discussion open until: Apr 2, 2022

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Ph.D. Candidate, Institute of Geotechnical Engineering, Hunan Univ., Changsha 410082, PR China. Email: [email protected]
Associate Professor, Institute of Geotechnical Engineering, Hunan Univ., Changsha 410082, PR China. Email: [email protected]
Wenzhe Peng [email protected]
Postdoctoral Fellow, College of Civil Engineering, Hunan Univ., Changsha 410082, PR China (corresponding author). Email: [email protected]
Minghua Zhao [email protected]
Professor, Institute of Geotechnical Engineering, Hunan Univ., Changsha 410082, PR China. Email: [email protected]

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Cited by

  • Side Load–Transfer for Drilled Shaft in Soft Argillaceous Rock with Volumetric Changes in Postfailure of Asperity, International Journal of Geomechanics, 10.1061/IJGNAI.GMENG-8088, 23, 3, (2023).
  • Influence of Concrete–Rock Bonds and Roughness on the Shear Behavior of Concrete–Rock Interfaces under Low Normal Loading, Experimental and Numerical Analysis, Applied Sciences, 10.3390/app12115643, 12, 11, (5643), (2022).
  • A micromechanics-based model for concrete-rock interface with similar triangular asperities, International Journal of Rock Mechanics and Mining Sciences, 10.1016/j.ijrmms.2022.105183, 157, (105183), (2022).

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