Variation analysis of ultimate pullout capacity of shallow horizontal strip anchor plate with 2-layer overlying soil based on nonlinear M-C failure criterion

Abstract

Based on the nonlinear Mohr-Coulomb failure criterion and an associated flow rule, a kinematic admissible velocity field of failure mechanism of the 2-layer soil above a shallow horizontal strip anchor plate is constructed. The ultimate pull-out force and its corresponding failure mechanism through the upper bound limit analysis according to a variation principle are deduced. When the 2-layer overlying soil is degraded into single-layer soil, the model of ultimate pullout force could also be degraded into the model of single-layer soil. And the comparison between results of single-layer soil variation method and those calculated by rigid limit analysis method proves the correctness of our method. Based on that, the influence of changes of geotechnical parameters on ultimate pullout forces and failure mechanism of a shallow horizontal strip anchor with the 2-layer soil above are analyzed. The results show that the ultimate pull-out force and failure mechanism of a shallow horizontal strip anchor with the 2-layer soil above are affected by the nonlinear geotechnical parameters greatly. Thus, it is very important to obtain the accurate geotechnical parameters of 2-layer soil for the evaluation of the ultimate pullout capacity of the anchor plate.

Keywords

shallow strip anchor plate / 2-layer soil / ultimate pullout capacity / variation analysis / nonlinear failure criterion

References

[1] MeyerhofG G, AdamsJ I. Ultimate uplift capacity of foundation [J]. J Can Geotech, 1968, 5(4): 225-244

[2] DasB M. Model tests for uplift capacity of foundations in clay [J]. Soils and Foundations, 1978, 18(2): 17-24

[3] MurrayE J, GeddesJ D. Uplift of anchor plates in sand [J]. Journal of Geotechnical Engineering, ASCE, 1987, 113(3): 202-215

[4] QianP, LiuZu. Distortion and failure character of shallow buried inclined anchors [J]. Chinese Journal of Geotechnical Engineering, 1992, 14(1): 62-66

[5] HeSi. Study on bearing capacity of uplift anchor foundation [J]. Underground Space, 2002, 22(2): 145-148

[6] IlamparuthiK, DickinE A, MuthukrishnaiahK. Experimental investigation of the uplift capacity of circular plate anchors in sand [J]. J Can Geotech, 2002, 39: 648-664

[7] ChuX, LiZ, WangR, ZhuChang. The test research of anchor‘s uplift behavior in calcareous sand [J]. Geomaterial Mechanics, 2002, 23(3): 368-664

[8] ZhuC, ChuXiao. Calcareous sand in the limits of plate anchor uplift force calculation [J]. Rock and Geomaterial Mechanics, 2003, 24: 153-158

[9] DingP, XiaoZ, ZhangQ, QiuTao. Uplift capacity of plate anchors in sand [J]. Journal of Building Structures, 200324

[10] DickinE A, LamanM. Uplift response of strip anchors in cohesionless soil [J]. Advances in Engineering Software, 2007, 38(9): 618-625

[11] LiuWenThe bearing behavior and calculation of the anti-uplift foundation [M], 2007, Shanghai, Shanghai Jiao Tong University Press

[12] ZhangN, WuH, ShenJ, ShuiL, HinoT, YinZhen. Evaluation of the uplift behavior of plate anchor in structured marine clay [J]. Marine Georesources & Geotechnology, 2017, 35(6): 758-768

[13] GiampaJ R, BradshawA S, SchneiderJ A. Influence of dilation angle on drained shallow circular anchor uplift capacity [J]. International Journal of Geomechanics, 2017, 17(2): 04016056

[14] LiuH, HuangJing. Vertical uplift capacity of horizontal plate anchors [J]. Geotechnical Engineering Technique, 2007, 21125-27

[15] GhalyA, HannaA. Ultimate pullout resistance of single vertical anchors [J]. J Can Geotech, 1994, 31: 661-672

[16] MerifieldR S, LyaminA V, SloanS W. Three-dimensional lower bound solutions for the stability of plate anchors in sand [J]. Géotechnique, 2006, 56(2): 123-132

[17] KouzerK M, KumarJ. Vertical uplift capacity of equally spaced horizontal strip anchors in sand [J]. International Journal of Geomechanics, ASCE, 2009, 9(5): 230-236

[18] ZhaoL, LiL, YangF, LiuXiang. Joined influences of nonlinearity and dilation on the ultimate pullout capacity of horizontal shallow plate anchors by energy dissipation method [J]. International Journal of Geomechanics, ASCE, 2011, 11(3): 195-201

[19] KouzerK M, KumarJ. Vertical uplift capacity of two interfering horizontal anchors in sand using an upper bound limit analysis [J]. Computers and Geotechnics, 2009, 36(6): 1084-1089

[20] KhatriV N, KumarJ. Vertical uplift resistance of circular plate anchors in clays under undrained condition [J]. Computers and Geotechnics, 2009, 36(8): 1352-1359

[21] ParamitaB, JyantK. Seismic pullout capacity of inclined anchor plates in sand [J]. Geotechnical and Geological Engineering, 2017, 35(2): 679-692

[22] ParamitaB, AnamitraR. Variation of horizontal pullout capacity with width of vertical anchor plate [J]. Int J Geomech, 2016, 16(5): 06016002

[23] ParamitaB, JyantK. Uplift capacity of anchors in layered sand using finite-element limit analysis: Formulation and results [J]. Int J Geomech, 2016, 16304015078

[24] ZhaoL, YangX, HuangF, TangY, HuShi. Variational analysis of the ultimate pullout capacity of shallow circular anchor plates in rock foundations based on the Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2018, 106: 190-197

[25] ZhaoL, TangY, HuS, DengD, YangXin. Upper bound analysis of the ultimate pullout capacity of shallow 3-D circular plate anchors based on the nonlinear mohr-coulomb failure criterion [J]. Journal of Central South University, 2018, 25(9): 25

[26] RoweR K, DavisE H. The behaviour of anchor plates in sand [J]. Geotechnique, 1982, 3219-23

[27] LiuW, ZhouJian. Partical flow code numerical simulation of extended foundation under the action of uplift loading [J]. Journal of Hydraulic Engineering, 2004, 35(12): 69-76

[28] WangD, HuY, RandolphM F. Threedimensional large deformation finite-element analysis of plate anchors in uniform clay [J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2010, 136(2): 355-365

[29] YuL, LiuJ, KongX, HuYu. Threedimensional numerical analysis of the keying of vertically installed plate anchors in clay [J]. Computers and Geotechnics, 2009, 36(4): 558-567

[30] SuF, LiuH, LiZhou. Analysis of ultimate bearing capacity of plate anchors in clay using a coupled Eulerian-Lagrangian method [J]. Rock and Soil Mechanics, 2016, 37(9): 2728-2736

[31] EmirlerB, BildikS, LamanM. Numerical investigation of anchor plates in layered soil [J]. International Journal of Material Science & Engineering, 2015, 2(1): 10-15

[32] HoekE. Strength of joined rock masses [J]. Geotcehnique, 1983, 33(3): 187-223

[33] AgarJ G, MorgensternN R, ScottJ. Shear strength and stress-strain behavior of Athabasca oil sand at elevated temperatures and pressures [J]. Canadian Geotechnical Journal, 1987, 24(1): 1-10

[34] ChenW F, LiuX LLimit analysis in soil mechanics [M], 1990, Amsterdam, Elsevier Science

[35] MaksimovicM. Nonlinear failure envelope for soils [J]. Jour of Geotech Eng, ASCE, 1989, 115(4): 581-586

[36] BakerR. Nonlinear Mohr envelopes based on triaxial data [J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2004, 130(5): 498-506

[37] HoekE, BrayJ WRock slope engineering [M], 1981, London, The Institution of Mining and Metallurgy

[38] WangH, LiS, WangQ, MiaoS, JiangBei. Limit analysis of ultimate pullout capacity of shallow horizontal strip anchor plate based on nonlinear failure criterion [J]. Engineering Mechanics, 2014, 31(2): 131-138

[39] ZhangX J, ChenW F. Stability analysis of slopes with general nonlinear failure criterion [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1987, 11(1): 33-50

[40] DrescherA, ChristopoulosC. Limit analysis slope stability with nonlinear yield condition [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(3): 341-345

[41] YangX, YinJian. Slope stability analysis with nonlinear failure criterion [J]. Journal of Engineering Mechanics, ASCE, 2004, 130(3): 267-273

[42] ZhaoL, YangF, ZhangY, DanH, LiuWei. Effects of shear strength reduction strategies on safety factor of homogeneous slope based on a general nonlinear failure criterion [J]. Computers and Geotechnics, 2015, 63215-228

[43] ZhaoL, ChengX, DanH, TanZ, ZhangYing. Effect of vertical earthquake component on the permanent seismic displacement of soil slopes based on the nonlinear Mohr-Coulomb failure criterion [J]. Soil and Foundations, 2017, 57(2): 237-251

[44] TangG, ZhaoL, LiL, ChenJing. Combined influence of nonlinearity and dilation on slope stability evaluated by upper-bound limit analysis [J]. Journal of Central South University, 2017, 24(7): 1602-1611

[45] ZhangXueGeotechnical plastic mechanics [M], 1993, Beijing, China Communication Press

[46] FraldiM, GuarracinoF. Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics & Mining Sciences, 2009, 46(4): 665-673

[47] FraldiM, GUARRACINOF. Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections [J]. International Journal of Solids and Structures, 2010, 47(2): 216-223

[48] FraldiM, GuarracinoF. Limit analysis of progressive tunnel failure of tunnels in Hoek–Brown rock masses [J]. International Journal of Rock Mechanics & Mining Sciences, 2012, 50(2): 170-173