Technical Papers
Mar 25, 2023

Evolution of Void Fabrics and Their Effects on Liquefaction Behaviors of Granular Soils: Insight from DEM-Clump Simulation

Publication: Journal of Engineering Mechanics
Volume 149, Issue 6

Abstract

Previous studies have demonstrated that macroscopic liquefaction behavior is closely related to the evolution of the microstructure (fabric) of soils. Here we perform three-dimensional (3D) discrete-element method (DEM) simulations of soil liquefaction considering irregular shapes of Toyoura sand particles, which are approximated by 3D clumps. We introduce the Minkowski tensor to quantify the anisotropy of the particle-void cells around each clumped particle, and propose two void fabric proxies, Ed and Ad. The evolution of Ed and Ad during the entire liquefaction process and their effects on pre- and postliquefaction behaviors are investigated. Specifically, Ed quantifies the shape elongation of particle-void distribution, while Ad represents anisotropy of the particle-void orientation, which is closely correlated with the flow strain accumulation. We further quantify irreversible changes in fabrics and anisotropic load-bearing structures developed in liquefaction processes, and propose fabric-based criteria for jamming transition in flow deformation. The volumetric strain during reconsolidation is well correlated with Ed and Ad, whereas the jamming transition during liquefaction can only occur if Ad becomes sufficiently large. The interplay between strain, stress, and fabric evolution during pre- and postliquefaction will improve fundamental understanding and modeling of liquefied soils.

Get full access to this article

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

Data Availability Statement

The numerical simulation data in this study are available from the corresponding author by request.

Acknowledgments

The study is funded by Research Grant No. 52179134 from National Natural Science Foundation of China, Grant No. 16214220 from the Hong Kong Research Grants Council.

References

Andò, E., G. Viggiani, S. A. Hall, and J. Desrues. 2013. “Experimental micro-mechanics of granular media studied by X-ray tomography: Recent results and challenges.” Géotech. Lett. 3 (3): 142–146. https://doi.org/10.1680/geolett.13.00036.
Arthur, J. R. F., and B. Menzies. 1972. “Inherent anisotropy in a sand.” Géotechnique 22 (1): 115–128. https://doi.org/10.1680/geot.1972.22.1.115.
Bi, D., J. Zhang, B. Chakraborty, and R. P. Behringer. 2011. “Jamming by shear.” Nature 480 (7377): 355–358. https://doi.org/10.1038/nature10667.
Bokkisa, S. V., G. Wang, D. Huang, and F. Jin. 2019. “Fabric evolution in post-liquefaction and re-liquefaction of granular soils using 3D discrete element modelling.” In Proc., 7th Int Conf. on Earthquake Geotechnical Engineering for Protection and Development of Environment and Constructions, 1461–1468. Boca Raton, FL: CRC Press.
Boulanger, R. W., and I. M. Idriss. 2012. “Probabilistic standard penetration test–based liquefaction–triggering procedure.” J. Geotech. Geoenviron. Eng. 138 (10): 1185–1195. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000700.
Boulanger, R. W., and I. M. Idriss. 2016. “CPT-based liquefaction triggering procedure.” J. Geotech. Geoenviron. Eng. 142 (2): 04015065. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001388.
Boulanger, R. W., and K. Ziotopoulou. 2013. “Formulation of a sand plasticity plane-strain model for earthquake engineering applications.” Soil Dyn. Earthquake Eng. 53 (Oct): 254–267. https://doi.org/10.1016/j.soildyn.2013.07.006.
Castro, G. 1975. “Liquefaction and cyclic mobility of saturated sands.” J. Geotech. Eng. Div. 101 (6): 551–569. https://doi.org/10.1061/AJGEB6.0000173.
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.
Dafalias, Y. F., and M. T. Manzari. 2004. “Simple plasticity sand model accounting for fabric change effects.” J. Eng. Mech. 130 (6): 622–634. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:6(622).
Fardad Amini, P. 2021. “Effect of fabric anisotropy on reliquefaction resistance of Toyoura sand based on torsional shear experiments.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology.
Fardad Amini, P., D. Huang, G. Wang, and F. Jin. 2021. “Effects of strain history and induced anisotropy on reliquefaction resistance of Toyoura sand.” J. Geotech. Geoenviron. Eng. 147 (9): 04021094. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002588.
Fonseca, J., C. O’Sullivan, M. R. Coop, and P. Lee. 2012. “Non-invasive characterization of particle morphology of natural sands.” Soils Found. 52 (4): 712–722. https://doi.org/10.1016/j.sandf.2012.07.011.
Gao, Z., and J. Zhao. 2015. “Constitutive modeling of anisotropic sand behavior in monotonic and cyclic loading.” J. Eng. Mech. 141 (8): 04015017. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000907.
Gu, X., J. Zhang, and X. Huang. 2020. “DEM analysis of monotonic and cyclic behaviors of sand based on critical state soil mechanics framework.” Comput. Geotech. 128 (Dec): 103787. https://doi.org/10.1016/j.compgeo.2020.103787.
Guo, N., and J. Zhao. 2013. “The signature of shear-induced anisotropy in granular media.” Comput. Geotech. 47 (Jan): 1–15. https://doi.org/10.1016/j.compgeo.2012.07.002.
Huang, X., K. J. Hanley, Z. Zhang, and C. Y. Kwok. 2019. “Structural degradation of sands during cyclic liquefaction: Insight from DEM simulations.” Comput. Geotech. 114 (Oct): 103139. https://doi.org/10.1016/j.compgeo.2019.103139.
Hyodo, M., H. Tanimizu, N. Yasufuku, and H. Murata. 1994. “Undrained cyclic and monotonic triaxial behaviour of saturated loose sand.” Soils Found. 34 (1): 19–32. https://doi.org/10.3208/sandf1972.34.19.
Idriss, I., and R. Boulanger. 2008. Soil liquefaction during earthquakes. Oakland, CA: Earthquake Engineering Research Institute.
Ishihara, K., F. Tatsuoka, and S. Yasuda. 1975. “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found. 15 (1): 29–44. https://doi.org/10.3208/sandf1972.15.29.
Katagiri, J., T. Matsushima, and Y. Yamada. 2010. “Simple shear simulation of 3D irregularly-shaped particles by image-based DEM.” Granular Matter 12 (5): 491–497. https://doi.org/10.1007/s10035-010-0207-6.
Lade, P. V., J. Nam, and W. P. Hong. 2008. “Shear banding and cross-anisotropic behavior observed in laboratory sand tests with stress rotation.” Can. Geotech. J. 45 (1): 74–84. https://doi.org/10.1139/T07-078.
Li, X. S., and Y. F. Dafalias. 2012. “Anisotropic critical state theory: Role of fabric.” J. Eng. Mech. 138 (3): 263–275. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000324.
Liao, D., and Z. X. Yang. 2021. “Hypoplastic modeling of anisotropic sand behavior accounting for fabric evolution under monotonic and cyclic loading.” Acta Geotech. 16 (7): 2003–2029. https://doi.org/10.1007/s11440-020-01127-z.
Majmudar, T. S., and R. P. Behringer. 2005. “Contact force measurements and stress-induced anisotropy in granular materials.” Nature 435 (7045): 1079–1082. https://doi.org/10.1038/nature03805.
Majmudar, T. S., M. Sperl, S. Luding, and R. P. Behringer. 2007. “Jamming transition in granular systems.” Phys. Rev. Lett. 98 (5): 058001. https://doi.org/10.1103/PhysRevLett.98.058001.
Martin, E. L., C. Thornton, and S. Utili. 2020. “Micromechanical investigation of liquefaction of granular media by cyclic 3D DEM tests.” Géotechnique 70 (10): 906–915. https://doi.org/10.1680/jgeot.18.P.267.
Ng, T. T., and R. Dobry. 1994. “Numerical simulations of monotonic and cyclic loading of granular soil.” J. Geotech. Eng. 120 (2): 388–403. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:2(388).
Oda, M., K. Kawamoto, K. Suzuki, H. Fujimori, and M. Sato. 2001. “Microstructural interpretation on reliquefaction of saturated granular soils under cyclic loading.” J. Geotech. Geoenviron. Eng. 127 (5): 416–423. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:5(416).
Oda, M., S. Nemat-Nasser, and J. Konishi. 1985. “Stress-induced anisotropy in granular masses.” Soils Found. 25 (3): 85–97. https://doi.org/10.3208/sandf1972.25.3_85.
O’Sullivan, C., L. Cui, and S. C. O’Neill. 2008. “Discrete element analysis of the response of granular materials during cyclic loading.” Soils Found. 48 (4): 511–530. https://doi.org/10.3208/sandf.48.511.
Schröder-Turk, G. E., S. C. Kapfer, B. Breidenbach, C. Beisbart, and K. Mecke. 2010. “Tensorial Minkowski functionals and anisotropy measures for planar patterns.” J. Microsc. 238 (1): 57–74. https://doi.org/10.1111/j.1365-2818.2009.03331.x.
Seed, H. B., and K. L. Lee. 1966. “Liquefaction of saturated sands during cyclic loading.” J. Soil Mech. Found. Div. 92 (6): 105–134. https://doi.org/10.1061/JSFEAQ.0000913.
Shundyak, K., M. van Hecke, and W. van Saarloos. 2007. “Force mobilization and generalized isostaticity in jammed packings of frictional grains.” Phys. Rev. E 75 (Feb): 010301. https://doi.org/10.1103/PhysRevE.75.010301.
Sitharam, T. G., J. S. Vinod, and B. V. Ravishankar. 2009. “Postliquefaction undrained monotonic behaviour of sands: Experiments and DEM simulations.” Géotechnique 59 (9): 739–749. https://doi.org/10.1680/geot.7.00040.
Šmilauer, V., et al. 2015. “Using and programming.” Accessed February 22, 2018. https://yade-dem.org/doc/.
Somfai, E., M. Van Hecke, W. G. Ellenbroek, K. Shundyak, and W. van Saarloos. 2007. “Critical and noncritical jamming of frictional grains.” Phys. Rev. E 75 (2): 020301. https://doi.org/10.1103/PhysRevE.75.020301.
Taiebat, M., and Y. F. Dafalias. 2008. “SANISAND: Simple anisotropic sand plasticity model.” Int. J. Numer. Anal. Methods Geomech. 32 (8): 915–948. https://doi.org/10.1002/nag.651.
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.
Tong, Z., P. Fu, S. Zhou, and Y. F. Dafalias. 2014. “Experimental investigation of shear strength of sands with inherent fabric anisotropy.” Acta Geotech. 9 (2): 257–275. https://doi.org/10.1007/s11440-014-0303-6.
Tonon, F. 2004. “Explicit exact formulas for the 3-D tetrahedron inertia tensor in terms of its vertex coordinates.” J. Math. Stat. 1 (1): 8–11. https://doi.org/10.3844/jmssp.2005.8.11.
Vaid, Y. P., and S. Sivathayalan. 1996. “Static and cyclic liquefaction potential of Fraser Delta sand in simple shear and triaxial tests.” Can. Geotech. J. 33 (2): 281–289. https://doi.org/10.1139/t96-007.
Vaid, Y. P., J. D. Stedman, and S. Sivathayalan. 2001. “Confining stress and static shear effects in cyclic liquefaction.” Can. Geotech. J. 38 (3): 580–591. https://doi.org/10.1139/t00-120.
Wang, G., and J. Wei. 2016. “Microstructure evolution of granular soils in cyclic mobility and post-liquefaction process.” Granular Matter 18 (3): 1–13. https://doi.org/10.1007/s10035-016-0621-5.
Wang, R., P. Fu, J. M. Zhang, and Y. F. Dafalias. 2016. “DEM study of fabric features governing undrained post-liquefaction shear deformation of sand.” Acta Geotech. 11 (6): 1321–1337. https://doi.org/10.1007/s11440-016-0499-8.
Wang, Y. H., and C. M. Mok. 2008. “Mechanisms of small-strain shear-modulus anisotropy in soils.” J. Geotech. Geoenviron. Eng. 134 (10): 1516–1530. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:10(1516).
Wei, J., D. Huang, and G. Wang. 2018. “Micro-scale descriptors for particle-void distribution and jamming transition in pre- and post-liquefaction of granular soils.” J. Eng. Mech. 144 (8): 04018067. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001482.
Wei, J., and G. Wang. 2017. “Discrete-element method analysis of initial fabric effects on pre- and post-liquefaction behavior of sands.” Géotech. Lett. 7 (2): 161–166. https://doi.org/10.1680/jgele.16.00147.
Wiebicke, M., E. Andò, G. Viggiani, and I. Herle. 2020. “Measuring the evolution of contact fabric in shear bands with X-ray tomography.” Acta Geotech. 15 (1): 79–93. https://doi.org/10.1007/s11440-019-00869-9.
Yang, J., and H. Sze. 2011. “Cyclic behaviour and resistance of saturated sand under nonsymmetrical loading conditions.” Géotechnique 61 (1): 59–73. https://doi.org/10.1680/geot.9.P.019.
Yang, M., M. Taiebat, P. Mutabaruka, and F. Radjaï. 2021. “Evolution of granular materials under isochoric cyclic simple shearing.” Phys. Rev. E 103 (3): 032904. https://doi.org/10.1103/PhysRevE.103.032904.
Yang, M., M. Taiebat, and F. Radjaï. 2022a. “Liquefaction of granular materials in constant-volume cyclic shearing: Transition between solid-like and fluid-like states.” Comput. Geotech. 148 (Aug): 104800. https://doi.org/10.1016/j.compgeo.2022.104800.
Yang, S., and D. Huang. 2022. “Fabric evolution and liquefaction resistance in multiple-liquefaction process: A micromechanical study using DEM-clump.” Acta Geotech. 17: 5655–5674. https://doi.org/10.1007/s11440-022-01645-y.
Yang, S., D. Huang, G. Wang, and F. Jin. 2022b. “Probing fabric evolution and reliquefaction resistance of sands using discrete element modeling.” J. Eng. Mech. 148 (6): 04022023. https://doi.org/10.1061/(ASCE)EM.1943-7889.0002104.
Yang, Z., X. Li, and J. Yang. 2008. “Quantifying and modelling fabric anisotropy of granular soils.” Géotechnique 58 (4): 237–248. https://doi.org/10.1680/geot.2008.58.4.237.
Zhang, J., T. S. Majmudar, A. Tordesillas, and R. P. Behringer. 2010. “Statistical properties of a 2D granular material subjected to cyclic shear.” Granular Matter 12 (2): 159–172. https://doi.org/10.1007/s10035-010-0170-2.
Zhang, J. M., and G. Wang. 2012. “Large post-liquefaction deformation of sand, part I: Physical mechanism, constitutive description and numerical algorithm.” Acta Geotech. 7 (2): 69–113. https://doi.org/10.1007/s11440-011-0150-7.
Zhao, C. F., G. Pinzón, M. Wiebicke, E. Andò, N. P. Kruyt, and G. Viggiani. 2021. “Evolution of fabric anisotropy of granular soils: X-ray tomography measurements and theoretical modeling.” Comput. Geotech. 133 (May): 104046. https://doi.org/10.1016/j.compgeo.2021.104046.
Zhao, S., T. M. Evans, and X. Zhou. 2018. “Three-dimensional Voronoi analysis of monodisperse ellipsoids during triaxial shear.” Powder Technol. 323 (Jan): 323–336. https://doi.org/10.1016/j.powtec.2017.10.023.
Zhao, S., and J. Zhao. 2019. “A poly-superellipsoid-based approach on particle morphology for DEM modeling of granular media.” Int. J. Numer. Methods Eng. 43 (13): 2147–2169. https://doi.org/10.1002/nag.2951.
Zhao, S., J. Zhao, and N. Guo. 2020. “Universality of internal structure characteristics in granular media under shear.” Phys. Rev. E 101 (1): 012906. https://doi.org/10.1103/PhysRevE.101.012906.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 6June 2023

History

Received: Apr 9, 2022
Accepted: Jan 26, 2023
Published online: Mar 25, 2023
Published in print: Jun 1, 2023
Discussion open until: Aug 25, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Siyuan Yang
Graduate Student, Dept. of Hydraulic Engineering, Tsinghua Univ., Beijing 100084, China.
Duruo Huang [email protected]
Associate Professor, Dept. of Hydraulic Engineering, Tsinghua Univ., Beijing 100084, China (corresponding author). 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

  • Evolution of Soil Fabrics toward Critical State for Granular Soils: A Comprehensive Investigation, Journal of Engineering Mechanics, 10.1061/JENMDT.EMENG-7556, 150, 5, (2024).

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