Abstract

Pullout of plate anchors from granular sands is investigated using a novel computational multiscale approach. We employ the material point method (MPM) to solve a large deformation boundary value problem and adopt the discrete element method (DEM) to derive the history-dependent material responses required for each material point of the MPM domain. The continuum-discrete hierarchical coupling between MPM and DEM not only helps to bypass the assumption of complicated phenomenological constitutive models for sand, but also facilitates the handling of large displacement movement of the anchor and its ensuing complicated interactions with surrounding soil. This multiscale method is used to simulate the pullout of both horizontally and vertically placed plate anchors in sand by a large displacement, and to examine the roles of key factors, including the relative density of sand and the embedment depth, on the bearing capacity and pullout behavior. For a horizontally placed plate anchor, a truncated cone shape of soil body is mobilized upward at shallow embedment depth, whereas at greater depths, the surrounding soil may flow from the top to the bottom of the anchor, forming an interesting circulating circular shape. For a vertically placed plate anchor, the failure pattern of soil evolves gradually from a general shear failure mode to a local rotational failure mode when the embedment depth is increased. The study also provides cross-scale insight for the macroscopic observation on anchor pullout and comparisons with past studies.

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Data Availability Statement

All data, models, and code generated and used during this study are available from the corresponding author by request.

Acknowledgments

This study was financially supported by the National Natural Science Foundation of China (by Project No. 51679207), and the Research Grants Council of Hong Kong (by GRF Projects No. 16210017 and 16207319, TBRS Project No. T22-603/15N, and CRF Project No. C6012- 15G).

References

Balla, A. 1961. “The resistance to breaking-out of mushroom foundations for pylons.” In Proc., 5th. Int. Conf. on Soil Mechanics and Foundation Engineering, 569–576. Seattle: Allen Institute for AI.
Bardenhagen, S. G., and E. M. Kober. 2004. “The generalized interpolation material point method.” Comp. Model. Eng. Sci. 5 (6): 477–496.
Biarez, J., L.-M. Boucraut, and R. Negre. 1965. “Limiting equilibrium of vertical barriers subjected to translation and rotation forces.” In Vol. 2 of Proc., 6th Int. Conf. on Soil Mechanics and Foundation Engineering, 368–372. Hoboken, NJ: Wiley.
Ceccato, F., A. Bisson, and S. Cola. 2020. “Large displacement numerical study of 3D plate anchors.” Eur. J. Environ. Civ. Eng. 24 (4): 520–538. https://doi.org/10.1080/19648189.2017.1408498.
Chen, Z., K. K. Tho, C. F. Leung, and Y. K. Chow. 2013. “Influence of overburden pressure and soil rigidity on uplift behavior of square plate anchor in uniform clay.” Comput. Geotech. 52 (Jul): 71–81. https://doi.org/10.1016/j.compgeo.2013.04.002.
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.
Christoffersen, J., M. M. Mehrabadi, and S. Nemat-Nasser. 1981. “A micromechanical description of granular material behavior.” J. Appl. Mech. 48 (2): 339–344. https://doi.org/10.1115/1.3157619.
Coetzee, C. J., P. A. Vermeer, and A. H. Basson. 2005. “The modelling of anchors using the material point method.” Int. J. Numer. Anal. Methods Geomech. 29 (9): 879–895. https://doi.org/10.1002/nag.439.
Cui, L., C. O’Sullivan, and S. O’Neill. 2007. “An analysis of the triaxial apparatus using a mixed boundary three-dimensional discrete element model.” Géotechnique 57 (10): 831–844. https://doi.org/10.1680/geot.2007.57.10.831.
Das, B. M., and S. K. Shukla. 2013. Earth anchors. Plantation, FL: J. Ross Publishing.
Dickin, E. A. 1988. “Uplift behavior of horizontal anchor plates in sand.” J. Geotech. Eng. 114 (11): 1300–1317. https://doi.org/10.1061/(ASCE)0733-9410(1988)114:11(1300).
Dickin, E. A., and M. Laman. 2007. “Uplift response of strip anchors in cohesionless soil.” Adv. Eng. Software 38 (8–9): 618–625. https://doi.org/10.1016/j.advengsoft.2006.08.041.
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).
Guo, N., and J. Zhao. 2013. “The signature of shear-induced anisotropy in granular media.” Comput. Geotech. 47 (Jan): 1–15. https://doi.org/10.1016/j.compgeo.2012.07.002.
Han, C., D. Wang, C. Gaudin, C. D. O’Loughlin, and M. J. Cassidy. 2016. “Behaviour of vertically loaded plate anchors under sustained uplift.” Géotechnique 66 (8): 681–693. https://doi.org/10.1680/jgeot.15.P.232.
Hu, Y., and M. F. Randolph. 1998. “A practical numerical approach for large deformation problems in soil.” Int. J. Numer. Anal. Methods Geomech. 22 (5): 327–350. https://doi.org/10.1002/(SICI)1096-9853(199805)22:5%3C327::AID-NAG920%3E3.0.CO;2-X.
Ilamparuthi, K., E. A. Dickin, and K. Muthukrisnaiah. 2002. “Experimental investigation of the uplift behaviour of circular plate anchors embedded in sand.” Can. Geotech. J. 39 (3): 648–664. https://doi.org/10.1139/t02-005.
Kawamoto, R., E. Andò, G. Viggiani, and J. E. Andrade. 2018. “All you need is shape: Predicting shear banding in sand with LS-DEM.” J. Mech. Phys. Solids 111 (Feb): 375–392. https://doi.org/10.1016/j.jmps.2017.10.003.
Liang, W., and J. Zhao. 2017. “Multiscale modelling of large deformations in granular materials.” In Proc., 21st Annual Conf. of HKSTAM 2017 and the 13th Jiangsu-Hong Kong Forum on Mechanics and Its Application, 50. Hong Kong: Hong Kong SAR.
Liang, W., and J. Zhao. 2019. “Multiscale modeling of large deformation in geomechanics.” Int. J. Numer. Anal. Methods Geomech. 43 (5): 1080–1114. https://doi.org/10.1002/nag.2921.
Liu, J., H. Hu, and L. Yu. 2013. “Experimental study on the pull-out performance of strip plate anchors in sand.” In Proc., 23rd Int. Offshore and Polar Engineering Conf. Mountain View, CA: International Society of Offshore and Polar Engineers.
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. 1973. “Uplift resistance of inclined anchors and piles.” In Vol. 2 of Proc., 8th ICSMFE, 167–172. London: International Society for Soil Mechanics and Geotechnical Engineering.
Meyerhof, G. G., and J. I. Adams. 1968. “The ultimate uplift capacity of foundations.” Can. Geotech. J. 5 (4): 225–244. https://doi.org/10.1139/t68-024.
Mindlin, R. D., and Deresiewicz, H. 1953. “Elastic spheres in contact under varying oblique forces.” J. Appl. Mech. 20 (1): 327–344.
Mitchell, J. K., and K. Soga. 2005. Fundamentals of soil behavior. New York: Wiley.
Mollon, G., and J. Zhao. 2013. “Characterization of fluctuations in granular hopper flow.” Granular Matter 15: 827–840. https://doi.org/10.1007/s10035-013-0445-5.
Murray, E. J., and J. D. Geddes. 1987. “Uplift of anchor plates in sand.” J. Geotech. Eng. 113 (3): 202–215. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:3(202).
Nairn, J. A. 2016. “Material point method (NairnMPM) and finite element analysis (NairnFEA) open-source software.” Accessed April 25, 2021. http://osupdocs.forestry.oregonstate.edu/index.php/Main_Page.
Nicot, F., N. Hadda, M. Guessasma, J. Fortin, and O. Millet. 2013. “On the definition of the stress tensor in granular media.” Int. J. Solids Struct. 50 (14–15): 2508–2517. https://doi.org/10.1016/j.ijsolstr.2013.04.001.
Oda, M. 1982. “Fabric tensor for discontinuous geological materials.” Soils Found. 22 (4): 96–108. https://doi.org/10.3208/sandf1972.22.4_96.
O’Sullivan, C., L. Cui, and S. C. O’Neill. 2008. “Discrete element analysis of the response of granular materials during cyclic loading.” Soils Found. 48 (4): 511–530. https://doi.org/10.3208/sandf.48.511.
Pardo, G., and E. Sáez. 2014. “Experimental and numerical study of arching soil effect in coarse sand.” Comput. Geotech. 57 (Apr): 75–84. https://doi.org/10.1016/j.compgeo.2014.01.005.
Randolph, M., and S. Gourvenec. 2017. Offshore geotechnical engineering. Boca Raton, FL: CRC Press.
Roscoe, K. H., A. N. Schofield, and C. P. Wroth. 1958. “On the yielding of soils.” Géotechnique 8 (1): 22–53. https://doi.org/10.1680/geot.1958.8.1.22.
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. Moore. 2016. “Finite element analysis of vertical strip anchors buried in dense sand subjected to lateral loading.” In Proc., 26th Int. Ocean and Polar Engineering Conf. Mountain View, CA: International Society of Offshore and Polar Engineers.
Roy, K., B. Hawlader, S. Kenny, and I. Moore. 2018a. “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.
Roy, K., B. Hawlader, S. Kenny, and I. Moore. 2018b. “Upward pipe–soil interaction for shallowly buried pipelines in dense sand.” J. Geotech. Geoenviron. Eng. 144 (11): 04018078. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001957.
Satake, M. 1982. “Fabric tensor in granular materials.” In Proc., IUTAM Conf. on Deformation and Flow of Granular Materials, 1982, 63–68. Rotterdam, Netherlands: A.A. Balkema.
Schofield, A. N., and C. P. Wroth. 1968. Critical state soil mechanics. New York: McGraw-Hill.
Smilauer, V., et al. 2015. Yade documentation. 2nd ed. Geneva: Zenodo. https://doi.org/10.5281/zenodo.34073.
Smith, C. C. 2012. “Limit loads for a shallow anchor/trapdoor embedded in a non-associative Coulomb soil.” Géotechnique 62 (7): 563–571. https://doi.org/10.1680/geot.10.P.136.
Terzaghi, K. 1951. Theoretical soil mechanics. London: Chapman and Hall.
Tian, Y., M. F. Randolph, and M. J. Cassidy. 2015. “Analytical solution for ultimate embedment depth and potential holding capacity of plate anchors.” Géotechnique 65 (6): 517–530. https://doi.org/10.1680/geot.14.P.228.
Verdugo, R., and K. Ishihara. 1996. “The Steady State of Sandy Soils.” Soils Found. 36 (2): 81–91. https://doi.org/10.3208/sandf.36.2_81.
Vesić, A. S. 1973. “Analysis of ultimate loads of shallow foundations.” J. Soil Mech. Found. Div. 99 (1): 45–73. https://doi.org/10.1061/JSFEAQ.0001846.
Vesić, A. S., and J. A. Jones. 1971. “Breakout resistance of objects embedded in ocean bottom.” J. Soil Mech. Found. Div. 97 (9): 1183–1205.
Wang, D., Y. Hu, and M. F. Randolph. 2010. “Three-dimensional large deformation finite-element analysis of plate anchors in uniform clay.” J. Geotech. Geoenviron. Eng. 136 (2): 355–365. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000210.
Wei, J., D. Huang, and G. Wang. 2020. “Fabric evolution of granular soils under multidirectional cyclic loading.” Acta Geotech. 15 (9): 2529–2543. https://doi.org/10.1007/s11440-020-00942-8.
White, D. J., C. Y. Cheuk, and M. D. Bolton. 2008. “The uplift resistance of pipes and plate anchors buried in sand.” Géotechnique 58 (10): 771–779. https://doi.org/10.1680/geot.2008.3692.
Yang, Y., and H. S. Yu. 2010. “Finite element analysis of anchor plates using non-coaxial models.” J. Rock Mech. Geotech. Eng. 2 (2): 178–187. https://doi.org/10.3724/SP.J.1235.2010.00178.
Yimsiri, S., and K. Soga. 2000. “Micromechanics-based stress–strain behaviour of soils at small strains.” Géotechnique 50 (5): 559–571. https://doi.org/10.1680/geot.2000.50.5.559.
Yimsiri, S., and K. Soga. 2010. “DEM analysis of soil fabric effects on behaviour of sand.” Géotechnique 60 (6): 483–495. https://doi.org/10.1680/geot.2010.60.6.483.
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, L., J. Liu, X. J. Kong, and Y. Hu. 2008. “Three-dimensional RITSS large displacement finite element method for penetration of foundations into soil.” Comput. Geotech. 35 (3): 372–382. https://doi.org/10.1016/j.compgeo.2007.08.007.
Zhao, J., and N. Guo. 2013. “Unique critical state characteristics in granular media considering fabric anisotropy.” Géotechnique 63 (8): 695–704. https://doi.org/10.1680/geot.12.P.040.
Zhao, J., and N. Guo. 2014. “Rotational resistance and shear-induced anisotropy in granular media.” Acta Mech. Solida Sin. 27 (1): 1–14. https://doi.org/10.1016/S0894-9166(14)60012-4.
Zhao, S., T. M. Evans, and X. Zhou. 2018. “Effects of curvature-related DEM contact model on the macro- and micro-mechanical behaviours of granular soils.” Géotechnique 68 (12): 1085–1098. https://doi.org/10.1680/jgeot.17.P.158.
Zhao, S., and J. Zhao. 2019. “A poly-superellipsoid-based approach on particle morphology for DEM modeling of granular media.” Int. J. Numer. Anal. Methods Geomech. 43 (13): 2147–2169. https://doi.org/10.1002/nag.2951.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 9September 2021

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Received: May 6, 2020
Accepted: Apr 26, 2021
Published online: Jul 6, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 6, 2021

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Weijian Liang, Ph.D. [email protected]
Postdoctoral Research Fellow, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Hong Kong. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Hong Kong (corresponding author). ORCID: https://orcid.org/0000-0002-6344-638X. Email: [email protected]
Huanran Wu, Ph.D. [email protected]
Assistant Professor, School of Civil Engineering, Chongqing Univ., Chongqing 400045, China. Email: [email protected]
Kenichi Soga, Ph.D., F.ASCE [email protected]
Chancellor’s Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720. Email: [email protected]

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