Technical Papers
Feb 15, 2021

Variation Analysis of Uplift Bearing Characteristics of Strip Anchor Plate in Nonhomogeneous Materials

Publication: International Journal of Geomechanics
Volume 21, Issue 4

Abstract

Considering the nonlinearity and heterogeneity of geotechnical materials, the ultimate pullout capacity of a shallow horizontal strip anchor plate is determined based on the upper-bound limit analysis theory and the nonlinear Mohr–Coulomb failure criterion. The ultimate pullout capacity and the soil rupture surface, as well as its stress distribution, are obtained by Euler equations and the Runge–Kutta process. The effectiveness of the variation method is verified by comparisons with existing results and numerical results. Furthermore, the effects of variation coefficients of geotechnical parameters and buried depth on the ultimate pullout capacity are analyzed. Results indicate that (1) the ultimate pullout capacity increases with the variation coefficients of the shear strength parameters, and opposite parameters result in symmetrical failure patterns. (2) The normal stress on the rupture surface is only related to the unit weight and depth. The proposed variation method provides a reliable and rigorous upper-bound solution of the pullout capacity of strip anchor plates embedded in nonhomogeneous materials, and it would provide a useful reference for the engineering design of anchor plates.

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Data Availability Statement

All of the data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This study was financially supported by the National Natural Science Foundation of China (Nos. 51478477 and 51978666), Guizhou Provincial Science and Technology Department Foundation (No. [2018]2815), and the Fundamental Research Funds for the Central Universities of Central South University (No. 2018zzts663). All financial support is greatly appreciated.

References

Akbari Garakani, A., H. Sadeghi, S. Saheb, and A. Lamei. 2020. “Bearing capacity of shallow foundations on unsaturated soils: Analytical approach with 3d numerical simulations and experimental validations.” Int. J. Geomech. 20 (3): 04019181. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001589.
Al Hakeem, N., and C. Aubeny. 2019. “Numerical investigation of uplift behavior of circular plate anchors in uniform sand.” J. Geotech. Geoenviron. Eng. 145 (9): 04019039. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002083.
Baker, R. 2004. “Nonlinear Mohr envelopes based on triaxial data.” J. Geotech. Geoenviron. Eng. 130 (5): 498–506. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(498).
Bhattacharya, P., and J. Kumar. 2014. “Pullout capacity of inclined plate anchors embedded in sand.” Can. Geotech. J. 51 (11): 1365–1370. https://doi.org/10.1139/cgj-2014-0114.
Bhattacharya, P., and J. Kumar. 2015. “Uplift capacity of strip and circular anchors in soft clay with an overlay of sand layer.” Geotech. Geol. Eng. 33 (6): 1475–1488. https://doi.org/10.1007/s10706-015-9913-5.
Bhattacharya, P., and J. Kumar. 2016. “Uplift capacity of anchors in layered sand using finite-element limit analysis: Formulation and results.” Int. J. Geomech. 16 (3): 04015078. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000560.
Bhattacharya, P., and A. Roy. 2016. “Variation of horizontal pullout capacity with width of vertical anchor plate.” Int. J. Geomech. 16 (5): 06016002. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000639.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Chen, W. F., and X. L. Liu. 1990. Limit analysis in soil mechanics. Amsterdam, Netherlands: Elsevier.
Das, B. M. 1978. “Model tests for uplift capacity of foundations in clay.” Soils Found. 18 (2): 17–24. https://doi.org/10.3208/sandf1972.18.2_17.
Deng, D. P., L. H. Zhao, and L. Li. 2015. “Limit equilibrium slope stability analysis using the nonlinear strength failure criterion.” Can. Geotech. J. 52 (5): 563–576. https://doi.org/10.1139/cgj-2014-0111.
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.
Ding, P. M., Z. B. Xiao, Q. L. Zhang, and T. Qiu et al. 2003. “Uplift capacity of anchor plates in sand.” [In Chinese.] J. Build. Struct. 24 (5): 82–91.
Evans, T. M., and N. Zhang. 2019. “Three-dimensional simulations of plate anchor pullout in granular materials.” Int. J. Geomech. 19 (4): 04019004. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001367.
Fraldi, M., and F. Guarracino. 2009. “Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci. 46 (4): 665–673. https://doi.org/10.1016/j.ijrmms.2008.09.014.
Fraldi, M., and F. Guarracino. 2010. “Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections.” Int. J. Solids Struct. 47 (2): 216–223. https://doi.org/10.1016/j.ijsolstr.2009.09.028.
Fraldi, M., and F. Guarracino. 2012. “Limit analysis of progressive tunnel failure of tunnels in Hoek–Brown rock masses.” Int. J. Rock Mech. Min. Sci. 50 (2): 170–173. https://doi.org/10.1016/j.ijrmms.2011.12.009.
Ganesh, R., and J. P. Sahoo. 2017. “Vertical uplift resistance of plate anchors with the fluctuations of groundwater table.” Int. J. Geosynth. Ground Eng. 3 (1): 8. https://doi.org/10.1007/s40891-017-0084-8.
He, S. M. 2002. “Study on bearing capacity of uplift anchor foundation.” [In Chinese.] Underground Space 22 (2): 145–148.
Hoek, E., and E. T. Brown. 1997. “Practical estimate of rock mass strength.” Int. J. Rock Mech. Min. Sci. 34 (8): 1165–1186. https://doi.org/10.1016/S1365-1609(97)80069-X.
Hoek, E., and E. T. Brown. 2019. “The Hoek–Brown failure criterion and GSI—2018 edition.” J. Rock Mech. Geotech. Eng. 11 (3): 445–463.
Jesmani, M., M. Kamalzare, and M. Nazari. 2013. “Numerical study of behavior of anchor plates in clayey soils.” Int. J. Geomech. 13 (5): 502–513. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000236.
Jones, K. D., S. Bang, and Y. Cho. 2007. “Pullout capacity of embedded suction anchors in sand.” Ocean Eng. 34 (16): 2107–2114. https://doi.org/10.1016/j.oceaneng.2007.05.007.
Khatri, V. N., and J. Kumar. 2009. “Vertical uplift resistance of circular plate anchors in clays under undrained condition.” Comput. Geotech. 36 (8): 1352–1359. https://doi.org/10.1016/j.compgeo.2009.06.008.
Kouzer, K. M., and J. Kumar. 2009a. “Vertical uplift capacity of equally spaced horizontal strip anchors in sand.” Int. J. Geomech. 9 (5): 230–236. https://doi.org/10.1061/(ASCE)1532-3641(2009)9:5(230).
Kouzer, K. M., and J. Kumar. 2009b. “Vertical uplift capacity of two interfering horizontal anchors in sand using an upper bound limit analysis.” Comput. Geotech. 36 (6): 1084–1089. https://doi.org/10.1016/j.compgeo.2009.02.003.
Kumar, J. 2003. “Uplift resistance of strip and circular anchors in a two layered sand.” Soils Found. 43 (1): 101–107. https://doi.org/10.3208/sandf.43.101.
Kumar, J., and K. M. Kouzer. 2008. “Vertical uplift capacity of horizontal anchors using upper bound limit analysis and finite elements.” Can. Geotech. J. 45 (32): 1134–1147.
Liu, F., H. Sun, J. Jung, X. Zhang, and X. Ju et al. 2019. “Experimental study of pullout capacity of plate anchors shallowly embedded in hydrate bearing sediments.” Ocean Eng. 173: 548–555. https://doi.org/10.1016/j.oceaneng.2019.01.014.
Merifield, R. S., A. V. Lyamin, and S. W. Sloan. 2006. “Three-dimensional lower-bound solutions for the stability of plate anchors in sand.” Géotechnique 56 (2): 123–132. https://doi.org/10.1680/geot.2006.56.2.123.
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., 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.
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).
Phoon, K. K., and F. H. Kulhawy. 1999. “Characterization of geotechnical variability.” Can. Geotech. J. 36 (4): 612–624. https://doi.org/10.1139/t99-038.
Sahoo, J. P., and R. Ganesh. 2018. “Vertical uplift resistance of rectangular plate anchors in two layered sand.” Ocean Eng. 150: 167–175. https://doi.org/10.1016/j.oceaneng.2017.12.056.
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.
Tang, G. P., L. H. Zhao, L. Li, and J. Y. Chen et al. 2017. “Combined influence of nonlinearity and dilation on slope stability evaluated by upper-bound limit analysis.” J. Cent. South Univ. 24 (7): 1602–1611. https://doi.org/10.1007/s11771-017-3565-y.
Yu, L., J. Liu, X. J. Kong, and Y. Hu et al. 2009. “Three-dimensional numerical analysis of the keying of vertically installed plate anchors in clay.” Comput. Geotech. 36 (4): 558–567. https://doi.org/10.1016/j.compgeo.2008.10.008.
Zhang, R., G. H. Chen, J. F. Zou, L. Zhao, and C. Jiang et al. 2019. “Study on roof collapse of deep circular cavities in jointed rock masses using adaptive finite element limit analysis.” Comput. Geotech. 111: 42–55. https://doi.org/10.1016/j.compgeo.2019.03.003.
Zhang, X. J., and W. F. Chen. 1987. “Stability analysis of slopes with general nonlinear failure criterion.” Int. J. Numer. Anal. Methods Geomech. 11 (1): 33–50. https://doi.org/10.1002/nag.1610110104.
Zhao, L. H., X. Cheng, H. C. Dan, Z. P. Tang, and Y. Zhang et al. 2017. “Effect of the vertical earthquake component on permanent seismic displacement of soil slopes based on the nonlinear Mohr–Coulomb failure criterion.” Soil Found. 57 (2): 237–251. https://doi.org/10.1016/j.sandf.2016.12.002.
Zhao, L. H., X. Cheng, D. J. Li, and Y. B. Zhang et al. 2019. “Influence of non-dimensional strength parameters on the seismic stability of cracked slopes.” J. Mountain Sci. 16 (1): 153–167. https://doi.org/10.1007/s11629-017-4753-9.
Zhao, L. H., L. Li, F. Yang, and X. Liu et al. 2011. “Joined influences of nonlinearity and dilation on the ultimate pullout capacity of horizontal shallow plate anchors by energy dissipation method.” Int. J. Geomech. 11 (3): 195–201. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000075.
Zhao, L. H., Y. G. Tan, S. H. Hu, D. P. Deng, and X. P. Yang et al. 2018b. “Upper bound analysis of ultimate pullout capacity of shallow 3-D circular plate anchors based on nonlinear Mohr–Coulomb failure criterion.” J. Cent. South Univ. 25 (9): 2272–2288. https://doi.org/10.1007/s11771-018-3912-7.
Zhao, L. H., Y. G. Tan, Z. H. Nie, X. P. Yang, and S. H. Hu et al. 2018a. “Variation analysis of ultimate pullout capacity of shallow horizontal strip anchor plate with 2-layer overlying soil based on nonlinear M–C failure criterion.” J. Cent. South Univ. 25: 2802–2818. https://doi.org/10.1007/s11771-018-3954-x.
Zhao, L. H., F. Yang, Y. B. Zhang, H. Dan, and W. Liu et al. 2015. “Effects of shear strength reduction strategies on safety factor of homogeneous slope based on a general nonlinear failure criterion.” Comput. Geotech. 63: 215–228. https://doi.org/10.1016/j.compgeo.2014.08.015.
Zhao, L. H., X. P. Yang, F. Huang, Y. G. Tang, and S. H. Hu et al. 2018c. “Variational analysis of the ultimate pullout capacity of shallow circular anchor plates in rock foundations based on the Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci. 106: 190–197. https://doi.org/10.1016/j.ijrmms.2018.04.027.
Zuo, S., L. H. Zhao, D. P. Deng, Z. Wang, and Z. Zhao et al. 2020. “Reliability back analysis of landslide shear strength parameters based on a general nonlinear failure criterion.” Int. J. Rock Mech. Min. Sci. 126: 104189. https://doi.org/10.1016/j.ijrmms.2019.104189.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 4April 2021

History

Received: Jun 10, 2020
Accepted: Nov 15, 2020
Published online: Feb 15, 2021
Published in print: Apr 1, 2021
Discussion open until: Jul 15, 2021

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School of Civil Engineering, Central South Univ., Changsha 410075, Hunan Province, China. ORCID: https://orcid.org/0000-0001-8831-9777. Email: [email protected]
Lianheng Zhao, M.ASCE [email protected]
Professor, Key Laboratory of Heavy-Haul Railway Engineering Structure, Ministry of Education, Central South Univ., Changsha 410075, Hunan Province, China (corresponding author). Email: [email protected]
School of Civil Engineering, Central South Univ., Changsha 410075, Hunan Province, China. Email: [email protected]
Associate Professor, School of Civil Engineering, Central South Univ., Changsha 410075, Hunan Province, China. Email: [email protected]
Zhibin Wang [email protected]
Associate Professor, School of Civil Engineering, Hunan Univ. of Science and Technology, Xiangtan 411201, Hunan Province, China. Email: [email protected]
Zhigang Zhao [email protected]
Senior Engineer, China Railway Seven Engineering Group Co., Ltd, Zhengzhou 450016, Henan Province, China. Email: [email protected]

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