Skip to main content
Log in

Vertical Uplift Capacity of Circular Anchors in Clay by Considering Anisotropy and Non-Homogeneity

  • Technical Paper
  • Published:
Transportation Infrastructure Geotechnology Aims and scope Submit manuscript

Abstract

New numerical analyses of the vertical uplift capacity of circular anchors embedded in anisotropic and non-homogenous clay are presented in this paper. These analyses are derived based on the lower bound and upper bound finite element limit analysis under an axisymmetric condition. The anisotropic undrained shear (AUS) failure criterion is applied in these analyses. The undrained shear strength of clay increases linearly with depth. The anisotropy is adopted by changing of the ratios between undrained shear strengths determined from triaxial compression test and extension test. The variation of uplift factor (Fc) and shape of failure pattern with three parameters including embedment ratio (H/B), ratio of increasing undrained shear strength with depth (m), and the ratio of anisotropic parameters (re) are verified and investigated. These analyses will provide reliable results in order to improve the engineering calculation for plate anchor embedded in anisotropic and non-homogenous clays.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Data Availability

The data and materials in this paper are available.

References

  • Ali JI.: Pull-out resistance of anchor plates and anchored piles in soft bentonite clay. MSc thesis, NC: Duke University (1968)

  • Al-Shamrani, M.A.: Upper-bound solutions for bearing capacity of strip footings over anisotropic nonhomogeneous clays. Soils Found. 45(1), 109–124 (2005)

    Google Scholar 

  • Bhattacharya, P.: Pullout capacity of strip plate anchor in cohesive sloping ground under undrained condition. Comput. Geotech. 78, 134–143 (2016)

    Article  Google Scholar 

  • Bhattacharya, P.: Undrained uplift capacity of strip plate anchor nearby clayey slope. Geotech. Geol. Eng. 36(2), 1393–1407 (2018)

    Google Scholar 

  • Bhattacharya, P., Kumar, J.: Uplift capacity of strip and circular anchors in soft clay with an overlay of sand layer. Geotech. Geol. Eng. 33(6), 1475–1488 (2015)

    Article  Google Scholar 

  • Bishop, A.W.: The strength of soils as engineering materials. Géotechnique 16, 89–128 (1966)

    Article  Google Scholar 

  • Casagrande, A., Carillo, N.: Shear failure of anisotropic soils. Contributions to Soil Mechanics (BSCE) 1941–1953, 122–135 (1944)

    Google Scholar 

  • Ciria, H., Peraire, J., Bonet, J.: Mesh adaptive computation of upper and lower bounds in limit analysis. Int. J. Numer. Meth. Eng. 75, 899–944 (2008)

    Article  MathSciNet  Google Scholar 

  • Das, B.M.: Model tests for uplift capacity of foundations in clay. Soil Found 18(2), 17–24 (1978)

    Article  Google Scholar 

  • Das, B.M.: A procedure for estimation of ultimate capacity of foundations in clay. Soil Found 20(1), 77–82 (1980)

    Article  Google Scholar 

  • Das, B.M., Shin, E.C., Dass, R.N., Omar, M.T.: Suction force below plate anchors in soft clay. Mar. Georesour. Geotechnol. 12, 71–81 (1994)

    Article  Google Scholar 

  • Davis, E.H., Christian, J.T.: Bearing capacity of anisotropic cohesive soil. J. Soil Mech. Found. Div. 97(5), 753–769 (1971)

    Article  Google Scholar 

  • Keawsawasvong, S., Ukritchon, B.: Undrained stability of plane strain active trapdoors in anisotropic and non-homogeneous clays. Tunnelling and Underground Space Technology 107, 103628 (2021)

    Article  Google Scholar 

  • Keawsawasvong, S., Yoonirundorn, K., Senjuntichai, T.: Pullout capacity factor for cylindrical suction caissons in anisotropic clays based on anisotropic undrained shear failure criterion. Transportation Infrastructure Geotechnology (2021), https://doi.org/10.1007/s40515-021-00154-x

  • Khatri, V.N., Kumar, J.: Vertical uplift resistance of circular plate anchors in clays under undrained condition. Comput. Geotech. 36(8), 1352–1359 (2009)

    Article  Google Scholar 

  • Krabbenhoft, K., Galindo-Torres, S.A., Zhang, X., Krabbenhøft, J.: AUS: anisotropic undrained shear strength model for clays. Int. J. Numer. Anal. Meth. Geomech. 43(17), 2652–2666 (2019)

    Article  Google Scholar 

  • Krabbenhoft, K., Lyamin, A.V.: Generalised Tresca criterion for undrained total stress analysis. Geotechnique Letters 5, 313–317 (2015)

    Article  Google Scholar 

  • Krabbenhoft, K., Lyamin, A., Krabbenhoft, J.: Optum computational engineering (OptumG2), (2015), Available on: www.optumce.com

  • Kumar, J., Sahoo, J.P.: Vertical uplift resistance of a group of two coaxial anchors in clay. J. Geotech. Geoenviron. Eng. 138(3), 419–422 (2012)

    Article  Google Scholar 

  • Kupferman M.: The vertical holding capacity of marine anchors in clay subjected to static and cyclic loading. MSc thesis, Amherst, Mass: University of Massachusetts (1965)

  • Ladd, C.C.: Stability evaluations during stage construction. J. Geotech. Eng. 117(4), 540–615 (1991)

    Article  Google Scholar 

  • Ladd CC, DeGroot DJ.: Recommended practice for soft ground site characterization, Arthur Casagrande Lecture. In Proceedings of the 12th Panamerican Conference on Soil Mechanics and Geotechnical Engineering, Cambridge, (2003)

  • Law, K.T.: Undrained strength anisotropy in embankment stability analysis. Can. Geotech. J. 15(2), 306–309 (1978)

    Article  Google Scholar 

  • Lo, K.Y.: Stability of slopes in anisotropic soils. J. Soil Mech. Found. Div. 31, 85–106 (1965)

    Article  Google Scholar 

  • Merifield, R.S., Sloan, S.W., Yu, H.S.: Stability of plate anchors in undrained clay. Geotechnique 51(2), 141–153 (2001)

    Article  Google Scholar 

  • Merifield, R.S., Sloan, S.W., Yu, H.S.: Three-dimensional lower bound solutions for stability of plate anchors in clay. J. Geotech. Geoenviron. Eng. ASCE. 129(3), 243–253 (2003)

    Article  Google Scholar 

  • Meyerhof GG.: Uplift resistance of inclined anchors and piles. In: Proc., of the 8th int. conf., soil mechanics and foundation engineering Moscow. 2(1), 167–72 (1973)

  • Meyerhof, G.G., Adams, J.I.: The ultimate uplift capacity of foundations. Can Geotech J 5(4), 225–244 (1968)

    Article  Google Scholar 

  • Nian, T.K., Chen, G.Q., Luan, M.T., Yang, Q., Zheng, D.F.: Limit analysis of the stability of slopes reinforced with piles against landslide in nonhomogeneous and anisotropic soils. Can. Geotech. J. 45(8), 1092–1103 (2008)

    Article  Google Scholar 

  • Pan, Q., Dias, D.: Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach. Int. J. Geomech. 16(3), 04015076 (2016)

    Article  Google Scholar 

  • Reddy, A.S., Rao, K.V.: Bearing capacity of strip footing on anisotropic and nonhomogeneous clays. Soils Found. 21(1), 1–6 (1981)

    Article  Google Scholar 

  • Rowe, R.K., Davis, E.H.: The behavior of anchor plates in clay. Geotechnique 32(1), 9–23 (1982)

    Article  Google Scholar 

  • Sloan, S.W.: Geotechnical stability analysis. Géotechnique 63(7), 531–572 (2013)

    Article  Google Scholar 

  • Su, S.F., Liao, H.J., Lin, Y.H.: Base stability of deep excavation in anisotropic soft clay. J. Geotech. Geoenviron. Eng. 124(9), 809–819 (1998)

    Article  Google Scholar 

  • Ukritchon, B., Keawsawasvong, S.: Lower bound limit analysis of an anisotropic undrained strength criterion using second-order cone programming. Int. J. Numer. Anal. Meth. Geomech. 42(8), 1016–1033 (2018)

    Article  Google Scholar 

  • Ukritchon, B., Keawsawasvong, S.: Three-dimensional lower bound finite element limit analysis of an anisotropic undrained strength criterion using second-order cone programming. Comput. Geotech. 106, 327–344 (2019a)

    Article  Google Scholar 

  • Ukritchon, B., Keawsawasvong, S.: Lower bound solutions for undrained face stability of plane strain tunnel headings in anisotropic and non-homogeneous clays. Comput. Geotech. 112, 204–217 (2019b)

    Article  Google Scholar 

  • Ukritchon, B., Keawsawasvong, S.: Undrained lower bound solutions for end bearing capacity of shallow circular piles in non-homogeneous and anisotropic clay. Int. J. Numer. Anal. Methods Geomech. 44(5), 596–632 (2020)

    Article  Google Scholar 

  • Ukritchon, B., Keawsawasvong, S.: Undrained stability of unlined square tunnels in clays with linearly increasing anisotropic shear strength. Geotech. Geol. Eng. 38(1), 897–915 (2020)

    Article  Google Scholar 

  • Ukritchon, B., Whittle, A.J., Sloan, S.W.: Undrained stability of braced excavations in clay. J. Geotech. Geoenviron. Eng. 129(8), 738–755 (2003)

    Article  Google Scholar 

  • Vesic, A.S.: Breakout resistance of objects embedded in ocean bottom. J Soil Mech Found Div 97(9), 1183–1205 (1971)

    Article  Google Scholar 

  • Yang, X.L., Du, D.C.: Upper bound analysis for bearing capacity of nonhomogeneous and anisotropic clay foundation. KSCE J. Civ. Eng. 20(7), 2702–2710 (2016)

    Article  Google Scholar 

  • Yodsomjai, W., Keawsawasvong, S., Senjuntichai, T.: Undrained stability of unsupported conical slopes in anisotropic clays based on AUS failure criterion. Transportation Infrastructure Geotechnology (2021), https://doi.org/10.1007/s40515-021-00153-y

  • Yu HS: Cavity expansion methods in geomechanics. Dordrecht: Kluwer (2001)

Download references

Author information

Authors and Affiliations

Authors

Contributions

Dang Khoa Nguyen acquired methodology and software and contributed to investigation.

Trong Phuoc Nguyen provided resources and contributed to writing—review and editing, and data curation.

Suraparb Keawsawasvong provided resources and contributed to writing—review and editing, and data curation.

Van Qui Lai provided resources and contributed to writing—review and editing, and data curation.

Corresponding author

Correspondence to Van Qui Lai.

Ethics declarations

Conflict of Interest

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nguyen, D.K., Nguyen, T.P., Keawsawasvong, S. et al. Vertical Uplift Capacity of Circular Anchors in Clay by Considering Anisotropy and Non-Homogeneity. Transp. Infrastruct. Geotech. 9, 653–672 (2022). https://doi.org/10.1007/s40515-021-00191-6

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40515-021-00191-6

Keywords

Navigation