DEM Simulations of Undrained Triaxial Behavior of Granular Material
Publication: Journal of Engineering Mechanics
Volume 138, Issue 6
Abstract
The paper presents results of three-dimensional discrete element method (DEM) simulations of axisymmetric undrained tests on loose assemblies of polydisperse spheres using a periodic cell. In the work reported, undrained tests were modeled by deforming the samples under constant volume conditions. The undrained (effective) stress paths are shown to be qualitatively similar to published physical experimental results. The onset of liquefaction (or temporary liquefaction) is identified by a redundancy index equal to unity, which defines the transition from solidlike to liquidlike behavior. This corresponds to a critical mechanical coordination number slightly in excess of 4. The results of the simulations also suggest that a reversal in the direction of the undrained stress path does not necessarily indicate temporary liquefaction. The undrained behavior obtained by the DEM simulations is found to be dependent on strain rate and the so-called temporary liquefaction phenomenon is only observed if the strain rate is sufficiently high.
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Acknowledgments
The work reported in this paper was funded by the Engineering and Physical Sciences Research Council, UK (Grant No. GR/R91588).
References
Alarcon-Guzman, A., Leonards, G. A., and Chameau, J. L. (1988). “Undrained monotonic and cyclic strength of sand.” J. Geotech. Eng., 114(10), 1089–1109.JGENDZ
Been, K., Jefferies, M. G., and Hachey, J. (1991). “The critical state of sands.” Geotechnique, 41(3), 365–381.GTNQA8
Been, K., Jefferies, M. G., and Hachey, J. (1992). “Discussion of ‘The critical state of sands’ by K. Been et al.” Geotechnique, 42(4), 655–663.GTNQA8
Bishop, A. W. (1966). “The strength of soils as engineering materials. Sixth Rankine Lecture.” Geotechnique, 16(2), 91–130.GTNQA8
Bishop, A. W. (1971). “Shear strength parameters for undisturbed and remoulded soil specimens. Stress-strain behaviour of soils.” Proc., Roscoe Memorial Symp.: Stress—Strain Behavior of Soils, Parry, R. H. G., ed., Cambridge, 3–58.
Bonilla, R. R. O. (2004). “Numerical simulations of undrained granular media.” Ph.D. thesis, Univ. of Waterloo, Canada.
Castro, G. (1969). “Liquefaction of sands.” Harvard Soil Mechanics Series, No. 81, Harvard University Press, Cambridge, MA.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Geotechnique, 29(1), 47–65.GTNQA8
Cundall, P. A., Drescher, A., and Strack, O. D. L. (1982). “Numerical experiments on granular assemblies; Measurements and observations.” Proc., IUTAM Conference on Deformation and Failure of Granular Materials, Balkema, Delft, 355–370.
Gong, G. (2008). “DEM simulations of drained and undrained behaviour.” Ph.D. thesis, Univ. of Birmingham, UK.
Hakuno, M., and Tarumi, Y. (1988). “A granular assembly simulation for the seismic liquefaction of sand.” Proc., JSCE, 5(2), 129–138.
Ishihara, K. (1993). “Liquefaction and flow failure during earthquakes.” Geotechnique, 43(3), 351–415.GTNQA8
Ishihara, K., Tatsuoka, F., and Yasuda, S. (1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soil Found., 15(1), 29–44.
Kafui, K. D., Thornton, C., and Adams, M. J. (2002). “Discrete particle-continuum fluid modelling of gas—solid fluidised beds.” Chem. Eng. Sci., 57(13), 2395–2410.CESCAC
Lade, P. V. (1992). “Static instability and liquefaction of loose fine sandy slopes.” J. Geotech. Eng., 118(1), 51–71.JGENDZ
Mindlin, R. D., and Deresiewicz, H. (1953). “Elastic spheres in contact under varying oblique forces.” J. Appl. Mech.JAMCAV, 20, 327–344.
Ng, T.-T., and Dobry, R. (1994). “Numerical simulations of monotonic and cyclic loading of granular soil.” J. Geotech. Eng., 120(2), 388–403.JGENDZ
Poulos, S. J. (1981). “The steady state of deformation.” J. Geotech. Eng., 107(5), 553–562.JGENDZ
Rothenburg, L., and Kruyt, N. P. (2004). “Critical state and evolution of coordination number in simulated granular materials.” Int. J. Solids Struct., 41(21), 5763–5774.IJSOAD
Sitharam, T. G., Dinesh, S. V., and Shimizu, N. (2002). “Micromechanical modelling of monotonic drained and undrained shear behaviour of granular media using three-dimensional DEM.” Int. J. Numer. Anal. Methods Geomech., 26(12), 1167–1189.IJNGDZ
Thornton, C. (1999). “Interparticle relationships between forces and displacements.” Mechanics of granular materials—an introduction, Oda, M. and Iwashita, K., eds., Balkema, Rotterdam, 207–217.
Thornton, C. (2000). “Numerical simulations of deviatoric shear deformation of granular media.” Geotechnique, 50(1), 43–53.GTNQA8
Thornton, C., and Barnes, D. J. (1986). “Computer simulated deformation of compact granular assemblies.” Acta Mech., 64(1–2), 45–61.AMHCAP
Thornton, C., and Randall, C. W. (1988). “Applications of theoretical contact mechanics to solid particle system simulation.” Micromechanics of granular materials, Satake, M. and Jenkins, J. T., eds., Elsevier, Amsterdam, 133–142.
Thornton, C., and Yin, K. K. (1991). “Impact of elastic spheres with and without adhesion.” Powder Technol., 65(1–3), 153–166.POTEBX
Tsuji, Y., Kawaguchi, T., and Tanaka, T. (1993). “Discrete particle simulation of two-dimensional fluidized bed.” Powder Technol., 77(1), 79–87.POTEBX
Yamamuro, J. A., and Lade, P. V. (1997). “Static liquefaction of very loose sands.” Can. Geotech. J.CGJOAH, 34(6), 905–917.
Zeghal, M., and El Shamy, U. (2008). “Liquifaction of saturated loose and cemented granular soils.” Powder Technol., 184(2), 254–265.POTEBX
Zhang, H., and Garga, V. K. (1997). “Quasi-steady state: A real behaviour?.” Can. Geotech. J.CGJOAH, 34(5), 749–761.
Zhang, L. (2003). “The behaviour of granular material in pure shear, direct shear and simple shear.” Ph.D. thesis, Aston Univ., UK.
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© 2012. American Society of Civil Engineers.
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Received: Apr 19, 2010
Accepted: Dec 8, 2011
Published online: Dec 10, 2011
Published in print: Jun 1, 2012
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