Technical Papers
Sep 8, 2014

Investigation of Cyclic Liquefaction with Discrete Element Simulations

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 140, Issue 12

Abstract

A discrete-element method (DEM) assembly of virtual particles is calibrated to approximate the behavior of a natural sand in undrained loading. The particles are octahedral, bumpy clusters of spheres that are compacted into assemblies of different densities. The contact model is a Jäger generalization of the Hertz contact, which yields a small-strain shear modulus that is proportional to the square root of confining stress. Simulations made of triaxial extension and compression loading conditions and of simple shear produce behaviors that are similar to sand. Undrained cyclic shearing simulations are performed with nonuniform amplitudes of shearing pulses and with 24 irregular seismic shearing sequences. A methodology is proposed for quantifying the severities of such irregular shearing records, allowing the 24 sequences to be ranked in severity. The relative severities of the 24 seismic sequences show an anomalous dependence on sampling density. Four scalar measures are proposed for predicting the severity of a particular loading sequence. A stress-based scalar measure shows superior efficiency in predicting initial liquefaction and pore pressure rise.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This material is based upon work supported by the National Science Foundation under Grant No. NEESR-936408.

References

Agnolin, I., and Roux, J.-N. (2007). “Internal states of model isotropic granular packings. III. Elastic properties.” Phys. Rev. E: Stat. Nonlinear Soft Matter Phys., 76(6), 061304.
Arango, I. (1996). “Magnitude scaling factors for soil liquefaction evaluations.” J. Geotech. Engrg., 929–936.
Arulanandan, K., and Scott, R. F. (1993). “Project VELACS—Control test results.” J. Geotech. Engrg., 1276–1292.
Arulmoli, K., Muraleetharan, K. K., Hossain, M. M., and Fruth, L. S. (1992). “VELACS verification of liquefaction analyses by centrifuge studies laboratory testing program: Soil data report.” Rep. No. Project No. 90-0562, Earth Technology, Irvine, CA.
Ashmawy, A. K., Sukumaran, B., and Hoang, V. V. (2003). “Evaluating the influence of particle shape on liquefaction behavior using discrete element modeling.” Proc., 13th Int. Offshore and Polar Engineering Conf., Vol. 2, International Society of Offshore and Polar Engineers (ISOPE), Cupertino, CA, 542–549.
ASTM. (2006a). “Standard test methods for maximum index density and unit weight of soils using a vibratory table.” D4253-00, West Conshohocken, PA.
ASTM. (2006b). “Standard test methods for minimum index density and unit weight of soils and calculation of relative density.” D4254-00, West Conshohocken, PA.
Cavarretta, I., Coop, M., and O’Sullivan, C. (2010). “The influence of particle characteristics on the behaviour of coarse grained soils.” Géotechnique, 60(6), 413–423.
Cho, G.-C., Dodds, J., and Santamarina, J. C. (2006). “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. Eng., 591–602.
Cole, D. M., Mathisen, L. U., Hopkins, M. A., and Knapp, B. R. (2010). “Normal and sliding contact experiments on gneiss.” Granular Matter, 12(1), 69–86.
Dobry, R., and Ng, T.-T. (1992). “Discrete modelling of stress-strain behaviour of granular media at small and large strains.” Eng. Comput., 9(2), 129–143.
Duku, P. M., Stewart, J. P., Whang, D. H., and Yee, E. (2008). “Volumetric strains of clean sands subject to cyclic loads.” J. Geotech. Geoenviron. Eng., 1073–1085.
El Shamy, U., and Zamani, N. (2012). “Discrete element method simulations of the seismic response of shallow foundations including soil-foundation-structure interaction.” Int. J. Numer. Anal. Methods Geomech., 36(10), 1303–1329.
El Shamy, U., and Zeghal, M. (2005). “Coupled continuum-discrete model for saturated granular soils.” J. Eng. Mech., 413–426.
Goddard, J. D. (1990). “Nonlinear elasticity and pressure-dependent wave speeds in granular media.” Proc. R. Soc. London, Ser. A, 430(1878), 105–131.
Green, R. A. (2001). “Energy-based evaluation and remediation of liquefiable soils.” Ph.D. dissertation, Virginia Tech, Blacksburg, VA.
Hakuno, M., and Tarumi, Y. (1988). “A granular assembly simulation for the seismic liquefaction of sand.” Proc. J. Soc. Civ. Eng., 398(10), 129–138.
Hardin, B. O. (1978). “The nature of stress-strain behavior for soils.” Proc., ASCE Geotechnical Engineering Division Specialty Conf.: Earthquake Engineering and Soil Dynamics, Vol. 1, ASCE, New York, 3–90.
Ibsen, L. B. (1999). “The mechanism controlling static liquefaction and cyclic strength of sand.” Physics and mechanics of soil liquefaction, P. V. Lade and J. A. Yamamuro, eds., Balkema, Rotterdam, Netherlands, 29–39.
Jäger, J. (1999). “Uniaxial deformation of a random packing of particles.” Arch. Appl. Mech., 69(3), 181–203.
Jäger, J. (2005). New solutions in contact mechanics, WIT Press, Southampton, U.K.
Kammerer, A. M., Wu, J., Pestana, J. M., Riemer, M., and Seed, R. B. (2000). “Cyclic simple shear testing of Nevada Sand for PEER Center project 2051999.” Geotechnical Engineering Rep. UCB/GT/00-01, Dept. of Civil and Environmental Engineering, Univ. of California at Berkeley, Berkeley, CA.
Kayen, R. E., and Mitchell, J. K. (1997). “Assessment of liquefaction potential during earthquakes by Arias intensity.” J. Geotech. Geoenviron. Eng., 1162–1174.
Kramer, S. L., and Mitchell, R. A. (2006). “Ground motion intensity measures for liquefaction hazard evaluation.” Earthquake Spectra, 22(2), 413–438.
Kuhn, M. R. (2002). “OVAL and OVALPLOT: Programs for analyzing dense particle assemblies with the discrete element method.” 〈http://faculty.up.edu/kuhn/oval/oval.html〉 (Aug. 28, 2014).
Kuhn, M. R. (2011). “Implementation of the Jäger contact model for discrete element simulations.” Int. J. Numer. Methods Eng., 88(1), 66–82.
Mindlin, R. D., and Deresiewicz, H. (1953). “Elastic spheres in contact under varying oblique forces.” J. Appl. Mech., 19(1), 327–344.
Mitchell, J. K., and Soga, K. (2005). Fundamentals of soil behavior, 3rd Ed., Wiley, Hoboken, NJ.
Ng, T.-T., and Dobry, R. (1994). “Numerical simulations of monotonic and cyclic loading of granular soil.” J. Geotech. Engrg., 388–403.
O’Sullivan, C., Cui, L., and Bray, J. D. (2004). “Three-dimensional discrete element simulations of direct shear tests.” Proc., 2nd Int. PFC Symp.: Numerical Modeling in Micromechanics via Particle Methods, Y. Shimizu, R. Hart, and P. Cundall, eds., Taylor & Francis, London, 373–382.
Pacific Earthquake Engineering Research (PEER) Center. (2000). “PEER strong motion database.” 〈http://peer.berkeley.edu/smcat〉 (Aug. 28, 2014).
Pestana, J. M., and Whittle, A. J. (1995). “Compression model for cohesionless soils.” Géotechnique, 45(4), 611–631.
Porcino, D., and Caridi, G. (2007). “Pre- and post-liquefaction response of sand in cyclic simple shear.” Proc., Geo-Denver 2007: New Peaks in Geotechnics, M. M. Dewoolkar and J. P. Koester, eds., ASCE, Reston, VA, 1–10.
ProShake 1.1 [Computer software]. Redmond, WA, EduPro Civil Systems.
Salot, C., Gotteland, P., and Villard, P. (2009). “Influence of relative density on granular materials behavior: DEM simulations of triaxial tests.” Granular Matter, 11(4), 221–236.
Santamarina, C., and Cascante, G. (1998). “Effect of surface roughness on wave propagation parameters.” Géotechnique, 48(1), 129–136.
Sazzad, M. M., and Suzuki, K. (2010). “Micromechanical behavior of granular materials with inherent anisotropy under cyclic loading using 2D DEM.” Granular Matter, 12(6), 597–605.
Simmons, G., and Brace, W. F. (1965). “Comparison of static and dynamic measurements of compressibility of rocks.” J. Geophys. Res., 70(22), 5649–5656.
Sitharam, T. G. (2003). “Discrete element modelling of cyclic behaviour of granular materials.” Geotech. Geol. Eng., 21(4), 297–329.
Thornton, C., and Antony, S. J. (1998). “Quasi-static deformation of particulate media.” Phil. Trans. Roy. Soc. Lond. A, 356(1747), 2763–2782.
Walton, K. (1987). “The effective elastic moduli of a random packing of spheres.” J. Mech. Phys. Solids, 35(2), 213–226.
Wang, J. N., and Kavazanjian, E., Jr. (1989). “Pore pressure development during non-uniform cyclic loading.” Soils Found., 29(2), 1–14.
Wichtmann, T., and Triantafyllidis, T. (2009). “Influence of the grain-size distribution curve of quartz sand on the small strain shear modulus Gmax.” J. Geotech. Geoenviron. Eng., 1404–1418.
Zettler, T. E., Frost, J. D., and DeJong, J. T. (2000). “Shear-induced changes in smooth HDPE geomembrane surface topography.” Geosynth. Int., 7(3), 243–267.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 140Issue 12December 2014

History

Received: Oct 8, 2013
Accepted: Jul 23, 2014
Published online: Sep 8, 2014
Published in print: Dec 1, 2014
Discussion open until: Feb 8, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Matthew R. Kuhn, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, Donald P. Shiley School of Engineering., Univ. of Portland, Portland, OR 97203 (corresponding author). E-mail: [email protected]
Hannah E. Renken
Civil Engineer, Federal Aviation Administration (FAA), Renton, WA 98057; formerly, Research Student, Univ. of Portland, Portland, OR 97203.
Austin D. Mixsell
Civil Engineer, Western Service Area (WSA), Navigational Aids Engineering Center (NAVAIDS), Federal Aviation Administration (FAA), Renton, WA 98057; formerly, Research Student, Univ. of Portland, Portland, OR 97203.
Steven L. Kramer, M.ASCE [email protected]
John R. Kiely Professor of Civil and Environmental Engineering, Dept. of Civil and Environmental Engineering, Univ. of Washington, Seattle, WA 98195. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share