Technical Papers
Jul 11, 2018

Distinct Element Simulations of Shear Rupture in Dilatant Granular Media

Publication: International Journal of Geomechanics
Volume 18, Issue 9

Abstract

The development of shear rupture in granular media due to boundary deformation was captured using the distinct element method (DEM). Assemblages of nonspherical, three-dimensional particles undergoing direct shear test simulations exhibited a range of soil responses, from highly contractive to highly dilative depending on their initial void ratio as well as the applied normal stress. Arched structures of strong contact forces that are consistent with the stress-arching phenomenon developed during anchor pull-out and trapdoor simulations. Earthquake fault rupture propagation through soil varied systematically for reverse and normal faults dipping at various angles. The final shapes of the shear rupture surfaces were consistent with those expected based on a model developed through sandbox experiments. Key details of the shear rupture mechanisms during surface fault rupture were elucidated through examination of particle rotations, frictional dissipation, shear strains, volumetric strains, and contact forces. The mechanism of graben formation was shown through the reduction of the magnitude of the contact forces at the top of the soil arch that formed above the bedrock fault. DEM simulations provided useful insights into boundary deformation problems.

Get full access to this article

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

Acknowledgments

This material was based upon research supported by the National Science Foundation (NSF) Graduate Research Fellowship under Grant DGE 1106400. All opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF. Additional support was provided by the Faculty Chair in Earthquake Engineering Excellence in the College of Engineering at UC Berkeley. The authors would like to thank Dr. David Potyondy and Dr. Varun of Itasca Consulting Group for their mentorship and advice through the Itasca Education Partnership. The authors would also like to thank Dr. Catherine O’Sullivan of Imperial College London for sharing her strain homogenization code.

References

Anastasopoulos, I., G. Gazetas, M. F. Bransby, M. C. R. Davies, and A. El Nahas. 2007. “Fault rupture propagation through sand: Finite element analysis and validation through centrifuge experiments.” J. Geotech. Geoenviron. Eng. 133 (8): 943–958. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:8(943).
Bransby, M. F., M. C. R. Davies, and A. El Nahas. 2008a. “Centrifuge modelling of normal fault–foundation interaction.” Bull. Earthquake Eng. 6 (4): 585–605. https://doi.org/10.1007/s10518-008-9079-0.
Bransby, M. F., M. C. R. Davies, A. El Nahas, and S. Nagaoka. 2008b. “Centrifuge modelling of reverse fault–foundation interaction.” Bull. Earthquake Eng. 6 (4): 607–628. https://doi.org/10.1007/s10518-008-9080-7.
Bray, J. D., R. B. Seed, L. S. Cluff, and H. B. Seed. 1994. “Earthquake fault rupture propagation through soil.” J. Geotech. Eng. 120 (3): 543–561. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:3(543).
Chevalier, B., G. Combe, and P. Villard. 2012. “Experimental and discrete element modeling studies of the trapdoor problem: Influence of the macro-mechanical frictional parameters.” Acta Geotech. 7 (1): 15–39. https://doi.org/10.1007/s11440-011-0152-5.
Cole, D. A., Jr., and P. V. Lade. 1984. “Influence zones in alluvium over dip-slip faults.” J. Geotech. Eng. 110 (5): 599–615. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:5(599).
Cui, L., and C. O’Sullivan. 2006. “Exploring the macro-and micro-scale response of an idealised granular material in the direct shear apparatus.” Géotechnique 56 (7): 455–468. https://doi.org/10.1680/geot.56.7.455.
Cundall, P. A., and O. D. L. Strack. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Delfosse-Ribay, E., I. Djeran-Maigre, R. Cabrillac, and D. Gouvenot. 2004. “Shear modulus and damping ratio of grouted sand.” Soil Dyn. Earthquake Eng. 24 (6): 461–471. https://doi.org/10.1016/j.soildyn.2004.02.004.
Deluzarche, R., and B. Cambou. 2006. “Discrete numerical modelling of rockfill dams.” Int. J. Numer. Anal. Methods Geomech. 30 (11): 1075–1096. https://doi.org/10.1002/nag.514.
Finch, E., S. Hardy, and R. Gawthorpe. 2003. “Discrete element modelling of contractional fault-propagation folding above rigid basement fault blocks.” J. Struct. Geol. 25 (4): 515–528. https://doi.org/10.1016/S0191-8141(02)00053-6.
Finch, E., S. Hardy, and R. Gawthorpe. 2004. “Discrete‐element modelling of extensional fault‐propagation folding above rigid basement fault blocks.” Basin Res. 16 (4): 467–488. https://doi.org/10.1111/j.1365-2117.2004.00241.x.
Hazeghian, M., and A. Soroush. 2015. “DEM simulation of reverse faulting through sands with the aid of GPU computing.” Comput. Geotech. 66: 253–263. https://doi.org/10.1016/j.compgeo.2015.01.019.
Hazeghian, M., and A. Soroush. 2016. “DEM-aided study of shear band formation in dip-slip faulting through granular soils.” Comput. Geotech. 71: 221–236. https://doi.org/10.1016/j.compgeo.2015.10.002.
Hazeghian, M., and A. Soroush. 2017. “Numerical modeling of dip-slip faulting through granular soils using DEM.” Soil Dyn. Earthquake Eng. 97: 155–171. https://doi.org/10.1016/j.soildyn.2017.03.021.
Holtz, R. D., and W. D. Kovacs. 1981. An introduction to geotechnical engineering. Upper Saddle River, NJ: Prentice Hall.
Itasca Consulting Group, Inc. 2014. PFC – Particle Flow Code, Ver. 5.0. Minneapolis, MN: Itasca.
Iwashita, K., and M. Oda. 1998. “Rolling resistance at contacts in simulation of shear band development by DEM.” J. Eng. Mech. 124 (3): 285–292. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:3(285).
Iwashita, K., and M. Oda. 2000. “Micro-deformation mechanism of shear banding process based on modified distinct element method.” Powder Technol. 109 (1–3): 192–205. https://doi.org/10.1016/S0032-5910(99)00236-3.
Krumbein, W. C., and L. L. Sloss. 1963. Stratigraphy and sedimentation. 2nd ed. San Francisco: W.H. Freeman and Company.
Kutter, B. L. 1995. “Recent advances in centrifuge modeling of seismic shaking.” In Vol. 2 of Proc., 3rd International Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. St. Louis, MO: University of Missouri-Rolla.
Mitchell, J. K., and K. Soga. 2005. Fundamentals of soil behavior. 3rd ed. Hoboken, NJ: John Wiley and Sons.
Ng, T.-T. 2006. “Input parameters of discrete element methods.” J. Eng. Mech. 132 (723): 723–729. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:7(723).
Ni, Q., W. Powrie, X. Zhang, and R. Harkness, 2000. “Effect of particle properties on soil behaviour: 3-D numerical modelling of shearbox tests.” In Proc., GeoDenver 2000, Numerical Methods in Geotechnical Engineering, 58–70. Reston, VA: ASCE.
Oda, M., and H. Kazama. 1998. “Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils.” Géotechnique 48 (4): 465–481. https://doi.org/10.1680/geot.1998.48.4.465.
Oettle, N., and J. D. Bray. 2013. “Geotechnical mitigation strategies for earthquake surface fault rupture.” J. Geotech. Geoenviron. Eng. 139 (11): 1864–1874. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000933.
Oettle, N. K., J. D. Bray, and D. S. Dreger. 2015. “Dynamic effects of surface fault rupture interaction with structures.” Soil Dyn. Earthquake Eng. 72: 37–47. https://doi.org/10.1016/j.soildyn.2015.01.019.
O’Sullivan, C., and J. D. Bray, 2002. “Relating the response of idealized analogue particles and real sands.” In Proc., 1st Int. PFC Symposium on Numerical Modeling in Micro-Mechanics via Particle Methods. Gelsenkirchen, Germany: Itasca Consulting.
O’Sullivan, C., and J. D. Bray. 2004. “Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme.” Eng. Comput. 21 (2–4): 278–303. https://doi.org/10.1108/02644400410519794.
O’Sullivan, C., J. D Bray, and S. Li. 2003. “A new approach for calculating strain for particulate media.” Int. J. Numer. Anal. Methods Geomech. 27 (10): 859–877. https://doi.org/10.1002/nag.304.
Prucha, J. J., J. A. Graham, and R. P. Nickelsen. 1965. “Basement-controlled deformation in Wyoming province of Rocky Mountains foreland.” Am. Assoc. Pet. Geol. Bull. 49 (7): 966–992.
Santamarina, J. C., K. A. Klein, and M. A. Fam. 2001. Soils and waves. Chichester, UK: Wiley.
Schofield, A., and P. Wroth. 1968. Critical state soil mechanics. London, UK: McGraw-Hill.
Schöpfer, M. P. J., C. Childs, and J. J. Walsh. 2007a. “Two‐dimensional distinct element modeling of the structure and growth of normal faults in multilayer sequences: 1. Model calibration, boundary conditions, and selected results.” J. Geophys. Res. B: Solid Earth 112 (B10): B1040. https://doi.org/10.1029/2006JB004903.
Schöpfer, M. P. J., C. Childs, and J. J. Walsh. 2007b. “Two‐dimensional distinct element modeling of the structure and growth of normal faults in multilayer sequences: 2. Impact of confining pressure and strength contrast on fault zone geometry and growth.” J. Geophys. Res. B: Solid Earth 112 (B10): B10404. https://doi.org/10.1029/2006JB004903.
Shibuya, S., T. Mitachi, and S. Tamate. 1997. “Interpretation of direct shear box testing of sands as quasi-simple shear.” Géotechnique 47 (4): 769–790. https://doi.org/10.1680/geot.1997.47.4.769.
Stone, K. J. L., and D. M. Wood. 1992. “Effects of dilatancy and particle size observed in model tests on sand.” Soils Found. 32 (4): 43–57. https://doi.org/10.3208/sandf1972.32.4_43.
Tchalenko, J. S. 1970. “Similarities between shear zones of different magnitudes.” Geol. Soc. Am. Bull. 81 (6): 1625–1640. https://doi.org/10.1130/0016-7606(1970)81[1625:SBSZOD]2.0.CO;2.
Thomas, P. A., and J. D. Bray. 1999. “Capturing nonspherical shape of granular media with disk clusters.” J. Geotech. Geoenv. Eng. 125 (3): 169–178. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:3(169).
Thornton, C. 2000. “Numerical simulations of deviatoric shear deformation of granular media.” Géotechnique 50 (1): 43–53. https://doi.org/10.1680/geot.2000.50.1.43.
Wood, D. M. 2002. “Some observations of volumetric instabilities in soils.” Int. J. Solids Struct. 39 (13–14): 3429–3449. https://doi.org/10.1016/S0020-7683(02)00166-X.
Wood, D. M. 2004. Geotechnical modelling. Boca Raton, FL: CRC Press.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 18Issue 9September 2018

History

Received: Aug 14, 2017
Accepted: Mar 16, 2018
Published online: Jul 11, 2018
Published in print: Sep 1, 2018
Discussion open until: Dec 11, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA (corresponding author). ORCID: https://orcid.org/0000-0001-7993-0347. Email: [email protected]
Jonathan D. Bray, Ph.D., F.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA. Email: [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