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Numerical investigation of the at-rest earth pressure coefficient of granular materials

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Abstract

The at-rest earth pressure coefficient, \(\hbox {K}_{0}\), is one of the most fundamental values for evaluating in-situ soil stresses and designing foundation. Research has been expanded to investigate the correlation between \(\hbox {K}_{0}\) and micro-scale characteristic of granular soils, beyond the macroscopic approach empirically correlated with internal friction angle. This study presents the evolution of \(\hbox {K}_{0}\) values of irregularly shaped natural sand, spherical shaped smooth and rough surfaced glass beads along with the stress history, estimated by the discrete element method. The surface roughness and non-spherical particles were emulated by inter-particle friction coefficient and the clumped particles. Results exhibit that the \(\hbox {K}_{0}\) during loading stage nonlinearly decreases with increasing values of friction coefficient and the assemblies with clumped particles present the lower values of \(\hbox {K}_{0}\) than spherical particle assemblies of the same friction coefficient. The varying friction coefficient seems enough to capture the evolution of \(\hbox {K}_{0}\) during loading, unloading and reloading cycles, while the natural sand inevitably requires the assembly with clumped particles to capture the experimentally observed \(\hbox {K}_{0}\) evolutions.

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References

  1. Jaky, J.: The coefficient of earth pressure at rest. J. Soc. Hung. Archit. Eng. 78(22), 355–358 (1944)

    Google Scholar 

  2. Mayne, P.W., Kulhawy, F.H.: \({\rm K}_{0}\)-OCR relationships in soil. J. Geotech. Eng. Div. 108(6), 851–872 (1982)

    Google Scholar 

  3. Yun, T.S., Evans, T.M.: Evolution of at-rest lateral stress for cemented sands: experimental and numerical investigation. Granul. Matter 13(5), 671–683 (2011)

    Article  Google Scholar 

  4. Kozicki, J., Tejchman, J.: Numerical simulations of sand behaviour using DEM with two different descriptions of grain roughness. In: II International Conference on Particle-based Methods—Fundamentals and Applications. Particles (2011)

  5. Matsushima, T., Chang, C.S.: Quantitative evaluation of the effect of irregularly shaped particles in sheared granular assemblies. Granul. Matter 13(3), 269–276 (2011)

    Article  Google Scholar 

  6. Rothenburg, L., Bathurst, R.: Micromechanical features of granular assemblies with planar elliptical particles. Geotechnique 42(1), 79–95 (1992)

    Article  Google Scholar 

  7. Santamarina, C., Cascante, G.: Effect of surface roughness on wave propagation parameters. Geotechnique 48(1), 129–136 (1998)

    Article  Google Scholar 

  8. Shinohara, K., Oida, M., Golman, B.: Effect of particle shape on angle of internal friction by triaxial compression test. Powder Technol. 107(1), 131–136 (2000)

    Article  Google Scholar 

  9. Zelasko, J., Krizek, R., Edil, T.: Shear behavior of sands as a function of grain characteristics. In: Istanbul Conference on Soil Mechanics and Foundation Engineering , pp. 55–64 (1975)

  10. Ashmawy, A.K., Sukumaran, B., Hoang, V.V.: Evaluating the influence of particle shape on liquefaction behavior using discrete element modeling. In: Proceedings of the Offshore and Polar Engineering Conference , pp. 542–550 (2003)

  11. Ferellec, J.-F., McDowell, G.R.: A method to model realistic particle shape and inertia in DEM. Granul. Matter 12(5), 459–467 (2010)

    Article  MATH  Google Scholar 

  12. Jensen, R.P., Bosscher, P.J., Plesha, M.E., Edil, T.B.: DEM simulation of granular media–structure interface: effects of surface roughness and particle shape. Int. J. Numer. Anal. Meth. Geomech. 23(6), 531–547 (1999)

    Article  MATH  Google Scholar 

  13. Salot, C., Gotteland, P., Villard, P.: Influence of relative density on granular materials behavior: DEM simulations of triaxial tests. Granul. Matter 11(4), 221–236 (2009)

    Article  MATH  Google Scholar 

  14. Thomas, P.A., Bray, J.D.: Capturing nonspherical shape of granular media with disk clusters. J. Geotech. Geoenviron. Eng. 125(3), 169–178 (1999)

    Article  Google Scholar 

  15. Andrade, J.E., Lim, K.-W., Avila, C.F., Vlahinić, I.: Granular element method for computational particle mechanics. Comput. Methods Appl. Mech. Eng. 241, 262–274 (2012)

    Article  ADS  Google Scholar 

  16. Choo, J., Kim, Y.J., Lee, J.H., Yun, T.S., Lee, J., Kim, Y.S.: Stress-induced evolution of anisotropic thermal conductivity of dry granular materials. Acta Geotech. 8(1), 91–106 (2013)

    Article  Google Scholar 

  17. Procter, D., Barton, R.: Measurements of the angle of interparticle friction. Geotechnique 24(4), 581–604 (1974)

    Article  Google Scholar 

  18. Lee, J., Yun, T.S., Lee, D., Lee, J.: Assessment of \({\rm K}_0\) correlation to strength for granular materials. Soils Found. 53(4), 584–595 (2013)

    Article  MathSciNet  Google Scholar 

  19. Kim, D.H., Kim, Y.J., Lee, J.-S., Yun, T.S.: Thermal and electrical response of unsaturated hydrophilic and hydrophobic granular materials. ASTM Geotech. Test. J. 34(5), 562–570 (2011)

    Google Scholar 

  20. Krumbein, W.C., Sloss, L.L.: Stratigraphy and sedimentation. Soil Sci. 71(5), 401 (1951)

    Article  Google Scholar 

  21. Kim, S.: Analysis on Particle Shape Characteristics of Sand Using Fourier Descriptor. University of Ulsan, Ulsan (2010)

    Google Scholar 

  22. Shin, H., Santamarina, J.C.: Mineral dissolution and the evolution of k 0. J. Geotech. Geoenviron. Eng. 135(8), 1141–1147 (2009)

    Article  Google Scholar 

  23. Itasca: PFC3D (Particle flow code in three dimension). Minneapolis, MN (2006)

  24. Chung, Y.-C., Ooi, J.Y.: A study of influence of gravity on bulk behaviour of particulate solid. Particuology 6(6), 467–474 (2008)

    Article  Google Scholar 

  25. Santamarina, J.C., Klein, A., Fam, M.A.: Soils and waves: particulate materials behavior, characterization and process monitoring. J. Soils Sediments 1(2), 130–130 (2001)

    Article  Google Scholar 

  26. Garcia, X., Latham, J.-P., Xiang, J., Harrison, J.: A clustered overlapping sphere algorithm to represent real particles in discrete element modelling. Geotechnique 59(9), 779–784 (2009)

    Article  Google Scholar 

  27. Lu, M., McDowell, G.: The importance of modelling ballast particle shape in the discrete element method. Granul. Matter 9(1–2), 69–80 (2007)

    Google Scholar 

  28. Lu, Y., Frost, D.: Three-dimensional DEM modeling of triaxial compression of sands. In: Soil Behavior and Geo-micromechanics (GSP 200), ASCE, pp. 220–226 (2010)

  29. Yan, W.: Fabric evolution in a numerical direct shear test. Comput. Geotech. 36(4), 597–603 (2009)

    Article  Google Scholar 

  30. Lim, W., McDowell, G.: Discrete element modelling of railway ballast. Granul. Matter 7(1), 19–29 (2005)

    Article  MATH  Google Scholar 

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Acknowledgments

This work was supported by the Korea CCS R&D Center (KCRC) grant and National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (No. 2012-0008929 and No. 2011-0030040).

Conflict of interest All funding sources for this study are listed in acknowledgement section of this paper. All figures in this paper have never been presented. The experimental data were obtained from the “Lee et al. [18] Assessment of \(\hbox {K}_{0}\) correlation to strength for granular materials”, as listed below. The terms of this arrangement have been reviewed and approved by the Yonsei University in accordance with its policy on objectivity in research.

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Correspondence to Junhwan Lee.

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Yun, T.S., Lee, J., Lee, J. et al. Numerical investigation of the at-rest earth pressure coefficient of granular materials. Granular Matter 17, 413–418 (2015). https://doi.org/10.1007/s10035-015-0569-x

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