Failure and Deformation Mechanisms of Vertical Plate Anchors Subjected to Lateral Loading in Sand
Publication: International Journal of Geomechanics
Volume 20, Issue 11
Abstract
This paper presents an experimental study on the pullout behavior of a vertical plate anchor buried in sand under lateral loading, using the digital image correlation (DIC) technique. Based on image analysis, the influences of anchor embedment ratio, sand relative density, and sand–plate interface friction on the failure and deformation mechanisms were discussed. With lateral displacements, the plate anchor experienced passive soil pressure in the front and active soil pressure from the behind. It is observed that the passive failure surfaces varied from approximately linear to be curved and finally became locally rotational with increasing embedment ratios, which indicated that the failure mode transitioned from general shear to be local shear gradually. The failure process is progressive in nature, and the critical embedment ratio is sand-state dependent. With an increasing relative density of sand, the front passive failure zone became larger, whereas the scope of the active failure zone reduced. A wider range of soil may be mobilized by plate anchors of a greater interface frictional strength, leading to enhanced anchor capacity, and this effect decreased with increasing anchor embedment ratios and vanished for deep anchors. The test findings can provide useful visualized data for the development and verification of relevant theoretical models.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to acknowledge the financial support provided by the National Natural Science Foundation of China (41372300), the “Taishan” Youth Scholar Program of Shandong Province, China (No. tsqn201909016), and the “Qilu” Scholar Program of Shandong University, under which the reported work was carried out. We thank Dr. Pin-Qiang Mo for the useful discussion on the GeoPIV technique and Mr. Weichuan Li and Mr. Zhenyu Yang for their assistance in performing the tests.
Notation
The following symbols are used in this paper:
- Cc
- coefficient of curvature;
- Cu
- uniformity coefficient;
- Dr
- relative density;
- d50
- median size of sand;
- H
- vertical distance from the soil surface to the bottom edge of the plate anchor;
- h
- height of the plate anchor;
- L
- width of the plate;
- Nγq
- nondimensional anchor break-out factor;
- P
- net pullout capacity;
- Pu
- ultimate pullout capacity;
- Rmax
- maximum groove depth of plate anchor;
- γ
- unit weight of the soil;
- δ
- anchor horizontal displacement;
- δp
- anchor horizontal displacement at peak resistance;
- φ
- internal friction angle of sand;
- φin
- sand-anchor interface friction angle; and
- φm
- mobilized friction angle of sand.
References
Ansari, Y., G. Kouretzis, and S. W. Sloan. 2018. “Development of a prototype for modelling soil-pipe interaction and its application for predicting the uplift resistance to buried pipe movements in sand.” Can. Geotech. J. 55 (10): 1451–1474. https://doi.org/10.1139/cgj-2017-0559.
Ansari, Y., G. Kouretzis, and S. W. Sloan. 2019. “Physical modelling of lateral sand–pipe interaction.” Géotechnique 1–16. https://doi.org/10.1680/jgeot.18.P.119.
ASTM. 2006a. Standard test methods for maximum index density and unit weight of soils using a vibratory table. ASTM D4253-00. West Conshohocken, PA: ASTM.
ASTM. 2006b. Standard test methods for minimum index density and unit weight of soils and calculation of relative density. ASTM D 4254-00. West Conshohocken, PA: ASTM.
Basudhar, P. K., and D. N. Singh. 1994. “A generalized procedure for predicting optimal lower bound break-out factors of strip anchors.” Géotechnique 44 (2): 307–318. https://doi.org/10.1680/geot.1994.44.2.307.
Biarez, I., L. Boucraut, and R. Negre. 1965. “Limiting equilibrium of vertical barriers subjected to translation and rotation forces.” In Proc., 6th Int. Conf. on Soil Mechanics and Foundation Engineering, 368–372. Rotterdam, Netherlands: A.A. Balkema.
Bolton, M. D. 1986. “The strength and dilatancy of sands.” Géotechnique 36 (1): 65–78. https://doi.org/10.1680/geot.1986.36.1.65.
Bradshaw, A. S., J. R. Giampa, H. Gerkus, S. Jalilvand, J. Fanning, S. Nanda, R. Gilbert, K. Gavin, and V. Sivakumar. 2016. “Scaling considerations for 1-g model horizontal plate anchor tests in sand.” Geotech. Test. J. 39 (6): 20160042. https://doi.org/10.1520/GTJ20160042.
Burnett, A. 2015. “Investigation of full scale horizontal pipe-soil interaction and large strain behaviour of sand.” Master thesis, Dept. of Civil Engineering, Queen’s Univ.
Butterfield, R., and K. Z. Andrawes. 1972. “On the angles of friction between sand and plane surfaces.” J. Terramech. 8 (4): 15–23. https://doi.org/10.1016/0022-4898(72)90043-2.
Chakraborty, T., and R. Salgado. 2010. “Dilatancy and shear strength of sand at low confining pressures.” J. Geotech. Geoenviron. Eng. 136 (3): 527–532. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000237.
Cheuk, C. Y., D. J. White, and M. D. Bolton. 2008. “Uplift mechanisms of pipes buried in sand.” J. Geotech. Geoenviron. Eng. 134 (2): 154–163. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:2(154).
Choudhary, A. K., and S. K. Dash. 2017. “Load-carrying mechanism of vertical plate anchors in sand.” Int. J. Geomech. 17 (5): 04016116. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000813.
Choudhary, A. K., and S. K. Dash. 2018. “Pull-out behaviour of vertical plate anchor in granular soil.” Proc. Inst. Civ. Eng. Geotech. Eng. 171 (5): 379–390. https://doi.org/10.1680/jgeen.17.00174.
Clayton, C. R., R. I. Woods, A. J. Bond, and J. Milititsky. 2014. Earth pressure and earth-retaining structures. 3rd ed. Boca Raton, FL: CRC Press.
Das, B. M., G. R. Seeley, and S. C. Das. 1977. “Ultimate resistance of deep vertical anchor in sand.” Soils Found. 17 (2): 52–56. https://doi.org/10.3208/sandf1972.17.2_52.
Das, B. M., and S. K. Shukla. 2013. Earth anchors. Plantation, FL: J. Ross Publishing.
Dickin, E. A., and G. J. W. King. 1997. “Numerical modelling of the load-displacement behaviour of anchor walls.” Comput. Struct. 63 (4): 849–858. https://doi.org/10.1016/S0045-7949(96)00066-1.
Dickin, E. A., and C. F. Leung. 1983. “Centrifugal model tests on vertical anchor plates.” J. Geotech. Eng. 109 (12): 1503–1525. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:12(1503).
Dickin, E. A., and C. F. Leung. 1985. “Evaluation of design methods for vertical anchor plates.” J. Geotech. Eng. 111 (4): 500–520. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:4(500).
Dilrukshi, S., and D. Wijewickreme. 2020. “Study of trench backfill particle size effects on lateral soil restraints on buried pipelines using discrete element modeling.” J. Pipeline Syst. Eng. Pract. 11 (1): 04019047. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000423.
Dingle, H. R. C., D. J. White, and C. Gaudin. 2008. “Mechanisms of pipe embedment and lateral breakout on soft clay.” Can. Geotech. J. 45 (5): 636–652. https://doi.org/10.1139/T08-009.
El Sawwaf, M., and A. Nazir. 2006. “The effect of soil reinforcement on pullout resistance of an existing vertical anchor plate in sand.” Comput. Geotech. 33 (3): 167–176. https://doi.org/10.1016/j.compgeo.2006.04.001.
Ganesh, R., and S. Khuntia. 2018. “Estimation of pullout capacity of vertical plate anchors in cohesionless soil using MARS.” Geotech. Geol. Eng. 36 (1): 223–233. https://doi.org/10.1007/s10706-017-0319-4.
Garnier, J., C. Gaudin, S. M. Springman, P. J. Culligan, D. Goodings, D. Konig, B. Kutter, R. Phillips, M. F. Randolph, and L. Thorel. 2007. “Catalogue of scaling laws and similitude questions in geotechnical centrifuge modelling.” Int. J. Phys. Modell. Geotech. 7 (3): 1–23. https://doi.org/10.1680/ijpmg.2007.070301.
Ghaly, A. M. 1997. “Load–displacement prediction for horizontally loaded vertical plates.” J. Geotech. Geoenviron. Eng. 123 (1): 74–76. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:1(74).
Guo, P., and D. F. E. Stolle. 2005. “Lateral pipe–soil interaction in sand with reference to scale effect.” J. Geotech. Geoenviron. Eng. 131 (3): 338–349. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:3(338).
Hakhamaneshi, M., J. Black, C. Cargill, and T. Elmrom. 2016. “Development and calibration of a sand pluviation device for preparation of model sand bed for centrifuge tests.” In Proc., 3rd European Conf. on Physical Modelling in Geotechnics (EUROFUGUE), 73–79. Nantes, France: IFSTTAR.
Han, F., E. Ganju, R. Salgado, and M. Prezzi. 2018. “Effects of interface roughness, particle geometry, and gradation on the sand–steel interface friction angle.” J. Geotech. Geoenviron. Eng. 144 (12): 04018096. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001990.
Hanna, A., A. Foriero, and T. Ayadat. 2015. “Pullout capacity of inclined shallow single anchor plate in sand.” Indian Geotech. J. 45 (1): 110–120. https://doi.org/10.1007/s40098-014-0113-7.
Hueckel, S. 1957. “Model tests on anchoring capacity of vertical and inclined plates.” In Vol. 2 of Proc., 4th int. Conf. on Soil Mechanics and Foundations Engineering, 203–206. London: Butterworth Scientific Publications.
Idinger, G., P. Aklik, W. Wu, and R. I. Borja. 2011. “Centrifuge model test on the face stability of shallow tunnel.” Acta Geotech. 6 (2): 105–117. https://doi.org/10.1007/s11440-011-0139-2.
ISO. 2017. Geotechnical investigation and testing: Identification and classification of soil—Part 2: Principles for a classification. ISO 14688-2. London: ISO.
Jadid, R., A. R. Shahriar, M. R. Rahman, and T. Imtiaz. 2019. “Evaluation of theoretical models to predict the pullout capacity of a vertical anchor embedded in cohesionless soil.” Geotech. Geol. Eng. 37: 3567–3586. https://doi.org/10.1007/s10706-019-00870-9.
Jardine, R. J., B. M. Lehane, and S. J. Everton. 1993. “Friction coefficients for piles in sands and silts.” In Offshore Site Investigation and Foundation Behaviour, 661–677. London, UK: Graham & Trotman.
Kame, G. S., D. M. Dewaikar, and D. Choudhury. 2012. “Pullout capacity of a vertical plate anchor embedded in cohesion-less soil.” Earth Sci. Res. 1 (1): 27–56. https://doi.org/10.5539/esr.v1n1p27.
Khan, A. J., G. Mostofa, and R. Jadid. 2017. “Pullout resistance of concrete anchor block embedded in cohesionless soil.” Geomech. Eng. 12 (4): 675–688. https://doi.org/10.12989/gae.2017.12.4.675.
Kirsch, A. 2010. “Experimental investigation of the face stability of shallow tunnels in sand.” Acta Geotech. 5 (1): 43–62. https://doi.org/10.1007/s11440-010-0110-7.
Kostyukov, V. D. 1967. “Distribution of the density of sand in the sliding wedge in front of anchor plates.” Soil Mech. Found. Eng. 4 (1): 12–13. https://doi.org/10.1007/BF01706582.
Kumar, J. 2002. “Seismic horizontal pullout capacity of vertical anchors in sands.” Can. Geotech. J. 39 (4): 982–991. https://doi.org/10.1139/t02-021.
Kumar, J., and J. P. Sahoo. 2012. “Upper bound solution for pullout capacity of vertical anchors in sand using finite elements and limit analysis.” Int. J. Geomech. 12 (3): 333–337. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000160.
Lings, M. L., and M. S. Dietz. 2005. “The peak strength of sand–steel interfaces and the role of dilation.” Soils Found. 45 (6): 1–14. https://doi.org/10.3208/sandf.45.1.
Liu, J., M. Liu, and Z. Zhu. 2012. “Sand deformation around an uplift plate anchor.” J. Geotech. Geoenviron. Eng. 138 (6): 728–737. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000633.
Merifield, R. S., and S. W. Sloan. 2006. “The ultimate pullout capacity of anchors in frictional soils.” Can. Geotech. J. 43 (8): 852–868. https://doi.org/10.1139/t06-052.
Meyerhof, G. G. 1951. “The ultimate bearing capacity of foudations.” Géotechnique 2 (4): 301–332. https://doi.org/10.1680/geot.1951.2.4.301.
Meyerhof, G. G. 1973. “Uplift resistance of inclined anchors and piles.” In Proc., 8th Int. Conf. on Soil Mechanics and Foundation Engineering, Moscow, 167–172.
Mo, P.-Q., A. M. Marshall, and H.-S. Yu. 2015. “Centrifuge modelling of cone penetration tests in layered soils.” Géotechnique 65 (6): 468–481. https://doi.org/10.1680/geot.14.P.176.
Moghadam, M. J., A. Zad, N. Mehrannia, and N. Dastaran. 2019. “Experimental study on the performance of plate anchor retaining walls.” Int. J. Phys. Modell. Geotech. 19 (3): 128–140. https://doi.org/10.1680/jphmg.17.00040.
Murray, E. J., and J. D. Geddes. 1989. “Resistance of passive inclined anchors in cohesionless medium.” Géotechnique 39 (3): 417–431. https://doi.org/10.1680/geot.1989.39.3.417.
Neely, W. J., J. G. Stuart, and J. Graham. 1973. “Failure loads of vertical anchor plates in sand.” J. Soil Mech. Found. Div. 99 (9): 669–685.
Ovesen, N. K., and H. Strømann. 1972. “Design method for vertical anchor slabs in sand.” In Vols. 1 and 2 of Performance of Earth and EarthSupported Structures, 1418–1500. Reston, VA: ASCE.
Paikowsky, S. G., C. M. Player, and P. J. Connors. 1995. “A dual interface apparatus for testing unrestricted friction of soil along solid surfaces.” Geotech. Test. J. 18 (2): 168–193. https://doi.org/10.1520/GTJ10320J.
Palmer, A. C., D. J. White, A. J. Baumgard, M. D. Bolton, A. J. Barefoot, M. Finch, T. Powell, A. S. Faranski, and J. A. S. Baldry. 2003. “Uplift resistance of buried submarine pipelines: Comparison between centrifuge modelling and full-scale tests.” Géotechnique 53 (10): 877–883. https://doi.org/10.1680/geot.2003.53.10.877.
Randolph, M. F., M. B. Jamiolkowski, and L. Zdravkovic. 2004. “Load carrying capacity of foundations.” In Vol. 1 of Advances in Geotechnical Engineering: The Skempton Conf., 207–240. London: Thomas Telford.
Rowe, R. K., and E. H. Davis. 1982. “The behaviour of anchor plates in sand.” Géotechnique 32 (1): 25–41. https://doi.org/10.1680/geot.1982.32.1.25.
Roy, K., B. Hawlader, S. Kenny, and I. D. Moore. 2018. “Lateral resistance of pipes and strip anchors buried in dense sand.” Can. Geotech. J. 55 (12): 1812–1823. https://doi.org/10.1139/cgj-2017-0492.
Shahriar, A. R., M. S. Islam, and R. Jadid. 2020. “Ultimate pullout capacity of vertical anchors in frictional soils.” Int. J. Geomech. 20 (2): 04019153. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001576.
Terzaghi, K. 1943. Theoretical soil mechanics. New York: Wiley.
Trautmann, C. H., T. D. O’Rourfce, and F. H. Kulhawy. 1985. “Uplift force–displacement response of buried pipe.” J. Geotech. Eng. 111 (9): 1061–1076. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:9(1061).
Tsinker, G. P. 1983. “Anchored sheet pile bulkheads: Design practice.” J. Geotech. Eng. 109 (8): 1021–1038. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:8(1021).
Uesugi, M., and H. Kishida. 1986. “Frictional resistance at yield between dry sand and mild steel.” Soils Found. 26 (4): 139–149. https://doi.org/10.3208/sandf1972.26.4_139.
White, D. J., and M. D. Bolton. 2004. “Displacement and strain paths during plane-strain model pile installation in sand.” Géotechnique 54 (6): 375–397. https://doi.org/10.1680/geot.2004.54.6.375.
White, D. J., W. A. Take, and M. D. Bolton. 2003. “Soil deformation measurement using particle image velocimetry (PIV) and photogrammetry.” Géotechnique 53 (7): 619–631. https://doi.org/10.1680/geot.2003.53.7.619.
Wu, J., G. Kouretzis, L. Suwal, Y. Ansari, and S. W. Sloan. 2019. “Shallow and deep failure mechanisms during uplift and lateral dragging of buried pipes in sand.” Can. Geotech. J. https://doi.org/10.1139/cgj-2019-0281.
Yamaguchi, H., T. Kimura, and N. Fujii. 1976. “On the influence of progressive failure on the bearing capacity of shallow foundations in dense sand.” Soils Found. 16 (4): 11–22. https://doi.org/10.3208/sandf1972.16.4_11.
Yimsiri, S., K. Soga, K. Yoshizaki, G. R. Dasari, and T. D. O’Rourke. 2004. “Lateral and upward soil–pipeline interactions in sand for deep embedment conditions.” J. Geotech. Geoenviron. Eng. 130 (8): 830–842. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:8(830).
Yu, S. B., J. P. Hambleton, and S. W. Sloan. 2015. “Undrained uplift capacity of deeply embedded strip anchors in non-uniform soil.” Comput. Geotech. 70: 41–49. https://doi.org/10.1016/j.compgeo.2015.07.014.
Information & Authors
Information
Published In
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Feb 28, 2020
Accepted: Jul 21, 2020
Published online: Sep 10, 2020
Published in print: Nov 1, 2020
Discussion open until: Feb 10, 2021
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.