Technical Papers
Aug 24, 2021

Influence of Friction and Particle Morphology on Triaxial Shearing of Granular Materials

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 11

Abstract

The present paper addresses the influence of shape, size, and frictional characteristics of granular materials by utilizing X-ray computed tomography (CT) imaging and FEM. High-fidelity triaxial shearing simulations are conducted on a realistic assembly of sand grains. Applicable boundary conditions are represented, including the latex membrane for applying confining pressure. For this research, two poorly graded clean sands (SP) with distinct grain morphologies of round and angular particle shapes are considered. The effect of the particle size is naturally embedded in two materials with a difference of small size fraction grains present in angular sand. The deviatoric stress and volume change response increase up to the value of friction coefficient (μ) equal to 0.5 for rounded sand, and the strength-deformation response is unaffected by a further increase in friction. The axial strain, corresponding to peak deviatoric stress, did not depend on the friction value for identical initial microstructure and boundary conditions. The microscale investigation suggests a similar mean coordination number and percentage of grains with a coordination number less than two for friction values producing similar responses. The angular sand resulted in higher strength and low dilation compared to the rounded sand for friction value that best reproduces experimental results. The strength increase due to the particle shape effect becomes less pronounced for smooth grains. The grain-scale analysis indicates angular sand exhibits less dilation in contrast to the general observation in the literature due to smaller grain fractions absent in rounded sand, highlighting the need to introduce additional subclassifiers in classifying SP sands. The localized deformation pattern remains unchanged with friction and varies with grain shape. An attempt is made to link micromechanical insights to the macroscale response.

Get full access to this article

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

Data Availability Statement

Some or all data generated or used during the study is available from the corresponding author by request.

Acknowledgments

Dr. Penumadu would like to acknowledge support from Defense Threat Reduction Agency (DTRA) Grant HDTRA1-12- 10045, managed by Dr. Douglas A. Dalton (Allen).

References

Alshibli, K. A., and M. I. Alsaleh. 2004. “Characterizing surface roughness and shape of sands using digital microscopy.” J. Comput. Civ. Eng. 18 (1): 36–45. https://doi.org/10.1061/(ASCE)0887-3801(2004)18:1(36).
Alshibli, K. A., S. N. Batiste, and S. Sture. 2003. “Strain localization in sand: Plane strain versus triaxial compression.” J. Geotech. Geoenviron. Eng. 129 (6): 483–494. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:6(483).
Alshibli, K. A., and M. B. Cil. 2018. “Influence of particle morphology on the friction and dilatancy of sand.” J. Geotech. Geoenviron. Eng. 144 (3): 04017118. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001841.
Alshibli, K. A., M. F. Jarrar, A. M. Druckrey, and R. I. Al-Raoush. 2017. “Influence of particle morphology on 3D kinematic behavior and strain localization of sheared sand.” J. Geotech. Geoenviron. Eng. 143 (2): 04016097. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001601.
Amirrahmat, S., A. M. Druckrey, K. A. Alshibli, and R. I. Al-Raoush. 2019. “Micro shear bands: Precursor for strain localization in sheared granular materials.” J. Geotech. Geoenviron. Eng. 145 (2): 04018104. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001989.
Andò, E., S. A. Hall, G. Viggiani, J. Desrues, and P. Bésuelle. 2012. “Grain-scale experimental investigation of localised deformation in sand: A discrete particle tracking approach.” Acta Geotech. 7 (1): 1–13. https://doi.org/10.1007/s11440-011-0151-6.
Barreto, D., and C. O’Sullivan. 2012. “The influence of inter-particle friction and the intermediate stress ratio on soil response under generalised stress conditions.” Granular Matter 14 (4): 505–521. https://doi.org/10.1007/s10035-012-0354-z.
Belytschko, T., J. I. Lin, and T. Chen-Shyh. 1984. “Explicit algorithms for the nonlinear dynamics of shells.” Comput. Methods Appl. Mech. Eng. 43 (3): 251–276. https://doi.org/10.1016/0045-7825(84)90067-7.
Belytschko, T., B. L. Wong, and H. Y. Chiang. 1992. “Advances in one-point quadrature shell elements.” Comput. Methods Appl. Mech. Eng. 96 (1): 93–107. https://doi.org/10.1016/0045-7825(92)90100-X.
Binaree, T., E. Azéma, N. Estrada, M. Renouf, and I. Preechawuttipong. 2020. “Combined effects of contact friction and particle shape on strength properties and microstructure of sheared granular media.” Phys. Rev. E 102 (2): 022901. https://doi.org/10.1103/PhysRevE.102.022901.
Bultreys, T., W. De Boever, and V. Cnudde. 2016. “Imaging and image-based fluid transport modeling at the pore scale in geological materials: A practical introduction to the current state-of-the-art.” Earth Sci. Rev. 155 (Apr): 93–128. https://doi.org/10.1016/j.earscirev.2016.02.001.
Cho, G.-C., J. Dodds, and J. C. Santamarina. 2006. “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. Eng. 132 (5): 591–602. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5(591).
Cnudde, V., and M. N. Boone. 2013. “High-resolution X-ray computed tomography in geosciences: A review of the current technology and applications.” Earth Sci. Rev. 123 (Aug): 1–17. https://doi.org/10.1016/j.earscirev.2013.04.003.
Desrues, J., and E. Andò. 2015. “Strain localisation in granular media.” C.R. Phys. 16 (1): 26–36. https://doi.org/10.1016/j.crhy.2015.01.001.
Desrues, J., R. Chambon, M. Mokni, and F. Mazerolle. 1996. “Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography.” Géotechnique 46 (3): 529–546. https://doi.org/10.1680/geot.1996.46.3.529.
Faqih, A. M. N., A. Mehrotra, S. V. Hammond, and F. J. Muzzio. 2007. “Effect of moisture and magnesium stearate concentration on flow properties of cohesive granular materials.” Int. J. Pharm. 336 (2): 338–345. https://doi.org/10.1016/j.ijpharm.2006.12.024.
Golombek, M., et al. 2018. “Geology and physical properties investigations by the InSight lander.” Space Sci. Rev. 214 (5): 1–52. https://doi.org/10.1007/s11214-018-0512-7.
Golombek, M., et al. 2020. “Geology of the InSight landing site on Mars.” Nat. Commun. 11 (1): 1–11. https://doi.org/10.1038/s41467-020-14679-1.
Gong, J., J. Zou, L. Zhao, L. Li, and Z. Nie. 2019. “New insights into the effect of interparticle friction on the critical state friction angle of granular materials.” Comput. Geotech. 113 (Sep): 103105. https://doi.org/10.1016/j.compgeo.2019.103105.
Guo, P., and X. Su. 2007. “Shear strength, interparticle locking, and dilatancy of granular materials.” Can. Geotech. J. 44 (5): 579–591. https://doi.org/10.1139/t07-010.
Hall, S. A., M. Bornert, J. Desrues, Y. Pannier, N. Lenoir, G. Viggiani, and P. Bésuelle. 2010. “Discrete and continuum analysis of localised deformation in sand using X-ray μCT and volumetric digital image correlation.” Géotechnique 60 (5): 315–322. https://doi.org/10.1680/geot.2010.60.5.315.
Huang, X., K. J. Hanley, C. O’Sullivan, and C. Y. Kwok. 2014. “Exploring the influence of interparticle friction on critical state behaviour using DEM.” Int. J. Numer. Anal. Methods Geomech. 38 (12): 1276–1297. https://doi.org/10.1002/nag.2259.
Imseeh, W. H., and K. A. Alshibli. 2018. “3D finite element modelling of force transmission and particle fracture of sand.” Comput. Geotech. 94 (Feb): 184–195. https://doi.org/10.1016/j.compgeo.2017.09.008.
Imseeh, W. H., K. A. Alshibli, A. Moslehy, P. Kenesei, and H. Sharma. 2020. “Influence of crystal structure on constitutive anisotropy of silica sand at particle-scale.” Comput. Geotech. 126 (Oct): 103718. https://doi.org/10.1016/j.compgeo.2020.103718.
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).
Jiang, K., Q. Han, Y. Bai, and X. Du. 2020. “Data-driven ultimate conditions prediction and stress-strain model for FRP-confined concrete.” Compos. Struct. 242 (Jun): 112094. https://doi.org/10.1016/j.compstruct.2020.112094.
Kawamoto, R., E. Andò, G. Viggiani, and J. E. Andrade. 2016. “Level set discrete element method for three-dimensional computations with triaxial case study.” J. Mech. Phys. Solids 91 (Jun): 1–13. https://doi.org/10.1016/j.jmps.2016.02.021.
Kawamoto, R., E. Andò, G. Viggiani, and J. E. Andrade. 2018. “All you need is shape: Predicting shear banding in sand with LS-DEM.” J. Mech. Phys. Solids 111 (Feb): 375–392. https://doi.org/10.1016/j.jmps.2017.10.003.
Kim, F. H., D. Penumadu, J. Gregor, N. Kardjilov, and I. Manke. 2013. “High-resolution neutron and X-ray imaging of granular materials.” J. Geotech. Geoenviron. Eng. 139 (5): 715–723. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000809.
Kim, F. H., D. Penumadu, and D. S. Hussey. 2012. “Water distribution variation in partially saturated granular materials using neutron imaging.” J. Geotech. Geoenviron. Eng. 138 (2): 147–154. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000583.
Koerner, R. M. 1970. “Effect of particle characteristics on soil strength.” J. Soil Mech. Found. Div. 96 (4): 1221–1234. https://doi.org/10.1061/JSFEAQ.0001436.
Leib, A. R. 2015. “Effect of particle morphology on the deformation behavior of sand under monotonic loading conditions.” Master’s thesis, Dept. of Civil and Environmental Engineering, Univ. of Tennessee.
Leib, A. R., A. Sharma, and D. Penumadu. 2021. “Visualization of localized deformations of sand in drained triaxial compression using digital image correlation.” Geotech. Test. J. 44 (3): 782–798. https://doi.org/10.1520/GTJ20190096.
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.
Liu, D., C. O’Sullivan, and J. A. H. Carraro. 2021. “Influence of particle size distribution on the proportion of stress-transmitting particles and implications for measures of soil state.” J. Geotech. Geoenviron. Eng. 147 (3): 04020182. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002466.
Ma, G., W. Zhou, and X. L. Chang. 2014. “Modeling the particle breakage of rockfill materials with the cohesive crack model.” Comput. Geotech. 61 (Sep): 132–143. https://doi.org/10.1016/j.compgeo.2014.05.006.
Ma, G., W. Zhou, X. L. Chang, and M. X. Chen. 2016. “A hybrid approach for modeling of breakable granular materials using combined finite-discrete element method.” Granular Matter 18 (1): 1–17. https://doi.org/10.1007/s10035-015-0597-6.
Miura, K., K. Maeda, M. Furukawa, and S. Toki. 1998. “Mechanical characteristics of sands with different primary properties.” Soils Found. 38 (4): 159–172. https://doi.org/10.3208/sandf.38.4_159.
Mollon, G., A. Quacquarelli, E. Andò, and G. Viggiani. 2020. “Can friction replace roughness in the numerical simulation of granular materials?” Granular Matter 22 (2): 1–16. https://doi.org/10.1007/s10035-020-1004-5.
Mühlhaus, H. B., and I. Vardoulakis. 1987. “The thickness of shear bands in granular materials.” Géotechnique 37 (3): 271–283. https://doi.org/10.1680/geot.1987.37.3.271.
Nadimi, S., J. Fonseca, E. Andò, and G. Viggiani. 2020. “A micro finite-element model for soil behaviour: Experimental evaluation for sand under triaxial compression.” Géotechnique 70 (10): 931–936. https://doi.org/10.1680/jgeot.18.T.030.
Pedregosa, F., et al. 2011. “Scikit-learn: Machine learning in Python.” J. Mach. Learn. Res. 12 (85): 2825–2830.
Randolph, M. F., J. Dolwin, and R. Beck. 1994. “Design of driven piles in sand.” Géotechnique 44 (3): 427–448. https://doi.org/10.1680/geot.1994.44.3.427.
Rorato, R., M. Arroyo, E. Andò, and A. Gens. 2019. “Sphericity measures of sand grains.” Eng. Geol. 254 (May): 43–53. https://doi.org/10.1016/j.enggeo.2019.04.006.
Santamarina, J. C., and G. C. Cho. 2004. “Soil behaviour: The role of particle shape.” In Vol. 1 of Proc., Advances in Geotechnical Engineering: The Skempton Conf.—Proc. of a Three Day Conf. on Advances in Geotechnical Engineering, 604–617. London: Thomas Telford.
Sharma, A., D. Penumadu, and F. N. Peebles. 2020. “Role of particle shape in determining tensile strength and energy release in diametrical compression of natural silica grains.” Soils Found. 60 (5): 1299–1311. https://doi.org/10.1016/j.sandf.2020.08.004.
Sirota, Y. V., and V. I. Kushch. 2013. “Statistical analysis of compression strength of single grains of SHM powders and improvement of the strength assessment procedure.” J. Superhard Mater. 35 (5): 316–326. https://doi.org/10.3103/S1063457613050080.
Thakur, M. M., and D. Penumadu. 2019. “Micromechanical approach to model deformation response of granular materials using FEM considering meso-structure from X-ray computed tomography.” In Proc., Bulletin of the American Physical Society, 64. College Park, MD: American Physical Society.
Thakur, M. M., and D. Penumadu. 2020. “Triaxial compression in sands using FDEM and micro-X-ray computed tomography.” Comput. Geotech. 124 (Aug): 103638. https://doi.org/10.1016/j.compgeo.2020.103638.
Thakur, M. M., D. Penumadu, and C. Bauer. 2020. “Capillary suction measurements in granular materials and direct numerical simulations using X-ray computed tomography microstructure.” J. Geotech. Geoenviron. Eng. 146 (1): 04019121. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002194.
Turner, A. K., F. H. Kim, D. Penumadu, and E. B. Herbold. 2016. “Meso-scale framework for modeling granular material using computed tomography.” Comput. Geotech. 76 (Jun): 140–146. https://doi.org/10.1016/j.compgeo.2016.02.019.
Turner, A. K., A. Sharma, D. Penumadu, and E. B. Herbold. 2019. “Finite element analyses of single particle crushing tests incorporating computed tomography imaging and damage mechanics.” Comput. Geotech. 115 (Nov): 103158. https://doi.org/10.1016/j.compgeo.2019.103158.
Wildenschild, D., and A. P. Sheppard. 2013. “X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems.” Adv. Water Resour. 51 (Jan): 217–246. https://doi.org/10.1016/j.advwatres.2012.07.018.
Xiao, Y., L. Long, T. M. Evans, H. Zhou, H. Liu, and A. W. Stuedlein. 2019. “Effect of particle shape on stress-dilatancy responses of medium-dense sands.” J. Geotech. Geoenviron. Eng. 145 (2): 04018105. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001994.
Yang, Z. X., J. Yang, and L. Z. Wang. 2012. “On the influence of inter-particle friction and dilatancy in granular materials: A numerical analysis.” Granular Matter 14 (3): 433–447. https://doi.org/10.1007/s10035-012-0348-x.
Zhai, C., E. B. Herbold, S. A. Hall, and R. C. Hurley. 2019. “Particle rotations and energy dissipation during mechanical compression of granular materials.” J. Mech. Phys. Solids 129 (Aug): 19–38. https://doi.org/10.1016/j.jmps.2019.04.018.
Zhang, T., C. Zhang, Q. Yang, and R. Fu. 2020. “Inter-particle friction and particle sphericity effects on isotropic compression behavior in real-shaped sand assemblies.” Comput. Geotech. 126 (Oct): 103741. https://doi.org/10.1016/j.compgeo.2020.103741.
Zhang, W., J. Wang, and M. Jiang. 2013. “DEM-aided discovery of the relationship between energy dissipation and shear band formation considering the effects of particle rolling resistance.” J. Geotech. Geoenviron. Eng. 139 (9): 1512–1527. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000890.
Zhao, S., and J. Zhao. 2019. “A poly-superellipsoid-based approach on particle morphology for DEM modeling of granular media.” Int. J. Numer. Anal. Methods Geomech. 43 (13): 2147–2169. https://doi.org/10.1002/nag.2951.
Zhou, W., J. Liu, G. Ma, and X. Chang. 2017. “Three-dimensional DEM investigation of critical state and dilatancy behaviors of granular materials.” Acta Geotech. 12 (3): 527–540. https://doi.org/10.1007/s11440-017-0530-8.
Zhou, Y., H. Wang, B. Zhou, and J. Li. 2018. “DEM-aided direct shear testing of granular sands incorporating realistic particle shape.” Granular Matter 20 (3): 1–12. https://doi.org/10.1007/s10035-018-0828-8.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 11November 2021

History

Received: Nov 9, 2020
Accepted: Jun 10, 2021
Published online: Aug 24, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 24, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, Knoxville, 851 Neyland Dr., 325 John D. Tickle Bldg., Knoxville, TN 37996-2313. ORCID: https://orcid.org/0000-0002-1998-6194. Email: [email protected]
Dayakar Penumadu, M.ASCE [email protected]
Fred N. Peebles Professor and Joint Institute for Advanced Materials Chair of Excellence, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, Knoxville, 851 Neyland Dr., 325 John D. Tickle Bldg., Knoxville, TN 37996-2313 (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

  • Capability of discrete element method to investigate the macro-micro mechanical behaviours of granular soils considering different stress conditions and morphological gene mutation, Journal of Rock Mechanics and Geotechnical Engineering, 10.1016/j.jrmge.2022.11.015, (2023).
  • Effects of morphological gene decay and mutation on the micro–macro mechanical behaviours of granular soils, Géotechnique, 10.1680/jgeot.21.00180, (1-19), (2022).
  • Effect of morphological gene mutation and decay on energy dissipation behaviour of granular soils形貌基因突变与衰减对于颗粒材料能量耗散行为的影响, Journal of Zhejiang University-SCIENCE A, 10.1631/jzus.A2200226, (2022).
  • Comparison of clumps and rigid blocks in three-dimensional DEM simulations: curvature-based shape characterization, Computers and Geotechnics, 10.1016/j.compgeo.2022.104991, 151, (104991), (2022).
  • Morphological Perspectives to Quantify and Mitigate Liquefaction in Sands, Indian Geotechnical Journal, 10.1007/s40098-022-00649-5, 52, 5, (1244-1252), (2022).

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