Open access
Technical Papers
Nov 16, 2018

Micro Shear Bands: Precursor for Strain Localization in Sheared Granular Materials

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 145, Issue 2

Abstract

Recent studies have shown that detection of the onset and evolution of micro shear bands (MSBs) in granular materials can be improved using measurements of the kinematic behavior of particles. Different methods such as the discrete-element method (DEM) or three-dimensional (3D) imaging techniques have been used to measure the kinematics of individual particles within triaxial specimens. However, conventional kinematic techniques that use particle translation and/or rotation cannot detect the onset and growth of MSBs during the hardening phase of axisymmetric triaxial experiments. In order to expose the localized shearing and particle-scale behavior of triaxial specimens, a relative particle translation gradient (RPTG) concept is used to detect and expose the onset of strain localization before the peak principal stress ratio (PSR). RPTG measurements for four different granular materials are reported in this paper. The RPTG concept is used to expose the onset of MSBs during the hardening phase of the experiments. In addition, the contact number of individual particles is quantified and discussed in relation to particle rotation to investigate a particle-scale relationship between particle contacts and rotation. The effects of density, confining pressure, and particle shape on contact number are examined.

Formats available

You can view the full content in the following formats:

Acknowledgments

The research is funded by the US National Science Foundation (NSF) under Grant Nos. CMMI-1266230 and CMMI-1362510. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the NSF. The SMT images presented in this paper were collected using the X-Ray Operations and Research Beamline Station 13-BMD at Argonne Photon Source (APS), a US Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract No. DE-AC02-06CH11357. The authors acknowledge the support of GeoSoilEnviroCARS (Sector 13), which is supported by NSF–Earth Sciences (EAR-1128799), and DOE, Geosciences (DE-FG02-94ER14466). The authors thank Dr. Mark Rivers of APS for help performing the SMT scans.

References

Alshibli, K., A. Druckrey, R. Al-Raoush, T. Weiskittel, and N. Lavrik. 2014. “Quantifying morphology of sands using 3D imaging.” J. Mater. Civ. Eng. 27 (10): 04014275. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001246.
Alshibli, K., and L. Roussel. 2006. “Experimental investigation of slip-stick behaviour in granular materials.” Int. J. Numer. Anal. Methods Geomech. 30 (14): 1391–1407. https://doi.org/10.1002/nag.517.
Alshibli, K. A., M. I. Alsaleh, and G. Z. Voyiadjis. 2006. “Modelling strain localization in granular materials using micropolar theory: Numerical implementation and verification.” Int. J. Numer. Anal. Methods Geomech. 30 (15): 1525–1544. https://doi.org/10.1002/nag.534.
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.
Andò, E., S. Hall, G. Viggiani, J. Desrues, and P. Bésuelle. 2012a. “Experimental micromechanics: Grain-scale observation of sand deformation.” Géotech. Lett. 2 (3): 107–112. https://doi.org/10.1680/geolett.12.00027.
Andò, E., S. A. Hall, G. Viggiani, J. Desrues, and P. Bésuelle. 2012b. “Grain-scale experimental investigation of localised deformation in sand: A discrete particle tracking approach.” Acta Geotechnica 7 (1): 1–13. https://doi.org/10.1007/s11440-011-0151-6.
Batiste, S. N., K. A. AlshibliS. Sture, and M. Lankton. 2004. “Shear band characterization of triaxial sand specimens using computed tomography.” ASTM Geotech. Test. J. 27 (6): 568–579. https://doi.org/10.1007/s11440-013-0266-z.
Bouil, A., A. Amon, J.-C. Sangleboeuf, H. Orain, P. Bésuelle, G. Viggiani, P. Chasle, and J. Crassous. 2014. “A biaxial apparatus for the study of heterogeneous and intermittent strains in granular materials.” Granular Matter 16 (1): 1–8. https://doi.org/10.1007/s10035-013-0477-x.
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.
Druckrey, A., and K. Alshibli. 2014. “3D behavior of sand particles using X-ray synchrotron micro-tomography.” In Proc., 2014 Geo-Congress—Geo-Characterization and Modeling for Sustainability, GSP 234, 2814–2821. Atlanta: Geo-Institute of ASCE.
Druckrey, A., K. Alshibli, and R. Al-Raoush. 2018. “Discrete particle translation gradient concept to expose strain localisation in sheared granular materials using 3D experimental kinematic measurements.” Géotechnique 68 (2): 162–170. https://doi.org/10.1680/jgeot.16.P.148.
Druckrey, A. M., K. A. Alshibli, and R. I. Al-Raoush. 2016. “3D characterization of sand particle-to-particle contact and morphology.” Comput. Geotech. 74: 26–35. https://doi.org/10.1016/j.compgeo.2015.12.014.
Hall, S., M. Bornert, J. Desrues, Y. Pannier, N. Lenoir, G. Viggiani, and P. Bésuelle. 2010a. “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.
Hall, S. A., D. Muir Wood, E. Ibraim, and G. Viggiani. 2010b. “Localised deformation patterning in 2D granular materials revealed by digital image correlation.” Granular Matter 12 (1): 1–14. https://doi.org/10.1007/s10035-009-0155-1.
Hasan, A., and K. Alshibli. 2012. “Three dimensional fabric evolution of sheared sand.” Granular Matter 14 (4): 469–482. https://doi.org/10.1007/s10035-012-0353-0.
Huang, W., K. Nübel, and E. Bauer. 2002. “Polar extension of a hypoplastic model for granular materials with shear localization.” Mech. Mater. 34 (9): 563–576. https://doi.org/10.1016/S0167-6636(02)00163-1.
Jiang, M., H. Zhu, and X. Li. 2010. “Strain localization analyses of idealized sands in biaxial tests by distinct element method.” Front. Archit. Civ. Eng. China 4 (2): 208–222. https://doi.org/10.1007/s11709-010-0025-2.
Kuhn, M. R. 1999. “Structured deformation in granular materials.” Mech. Mater. 31 (6): 407–429. https://doi.org/10.1016/S0167-6636(99)00010-1.
Kuhn, M. R. 2003. “An experimental method for determining the effects of strain gradients in a granular material.” Commun. Numer. Methods Eng. 19 (8): 573–580. https://doi.org/10.1002/cnm.613.
Kuhn, M. R., and K. Bagi. 2004. “Alternative definition of particle rolling in a granular assembly.” J. Eng. Mech. 130 (7): 826–835. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:7(826).
Mirghasemi, A., L. Rothenburg, and E. Matyas. 1997. “Numerical simulations of assemblies of two-dimensional polygon-shaped particles and effects of confining pressure on shear strength.” Soils Found. 37 (3): 43–52. https://doi.org/10.3208/sandf.37.3_43.
Ng, T.-T. 2004. “Triaxial test simulations with discrete element method and hydrostatic boundaries.” J. Eng. Mech. 130 (10): 1188–1194. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:10(1188).
Oda, M., and K. Iwashita. 2000. “Study on couple stress and shear band development in granular media based on numerical simulation analyses.” Int. J. Eng. Sci. 38 (15): 1713–1740. https://doi.org/10.1016/S0020-7225(99)00132-9.
Oda, M., K. Iwashita, and T. Kakiuchi. 1997. “Importance of particle rotation in the mechanics of granular materials.” In Vol. 97 of Powders grains, edited by R. P. Behringer and J. T. Jenkins, 207–210. Rotterdam, Netherlands: A.A. Balkema.
Pena, A., R. Garcia-Rojo, and H. J. Herrmann. 2007. “Influence of particle shape on sheared dense granular media.” Granular Matter 9 (3–4): 279–291. https://doi.org/10.1007/s10035-007-0038-2.
Rechenmacher, A. L. 2006. “Grain-scale processes governing shear band initiation and evolution in sands.” J. Mech. Phys. Solids 54 (1): 22–45. https://doi.org/10.1016/j.jmps.2005.08.009.
Rechenmacher, A. L., and R. J. Finno. 2003. “Digital image correlation to evaluate shear banding in dilative sands.” Geotech. Test. J. 27 (1): 13–22. https://doi.org/10.1520/GTJ11263J.
Rivers, M. L. 2012. “tomoRecon: High-speed tomography reconstruction on workstations using multi-threading.” In Vol. 8506 of Proc., Developments in X-Ray Tomography VIII, 85060U. Washington, DC: International Society for Optics and Photonics.
Rivers, M. L., D. T. Citron, and Y. Wang. 2010. “Recent developments in computed tomography at GSECARS.” In Vol. 7804 of Proc., Developments in X-Ray Tomography VII, 780409. Washington, DC: International Society for Optics and Photonics.
Rothenburg, L., and N. Kruyt. 2004. “Critical state and evolution of coordination number in simulated granular materials.” Int. J. Solids Struct. 41 (21): 5763–5774. https://doi.org/10.1016/j.ijsolstr.2004.06.001.
Ting, J. M., L. Meachum, and J. D. Rowell. 1995. “Effect of particle shape on the strength and deformation mechanisms of ellipse-shaped granular assemblages.” Eng. Comput. 12 (2): 99–108. https://doi.org/10.1108/02644409510799497.
Walker, D. M., A. Tordesillas, and A. L. Rechenmacher. 2013. “Transmission of kinematic information in dense granular systems: Local and nonlocal network sensing.” Acta Geotech. 8 (5): 547–560. https://doi.org/10.1007/s11440-013-0266-z.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 145Issue 2February 2019

History

Received: Aug 23, 2017
Accepted: Jul 12, 2018
Published online: Nov 16, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 16, 2019

Authors

Affiliations

Siavash Amirrahmat [email protected]
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, 325 John Tickle Building, Knoxville, TN 37996. Email: [email protected]
Andrew M. Druckrey [email protected]
Engineer, VPD-Machine Performance Analysis, Caterpillar, Inc., 140009 Old Galena Rd., Peoria, IL 61552. Email: [email protected]
Khalid A. Alshibli, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, 325 John Tickle Building, Knoxville, TN 37996 (corresponding author). Email: [email protected]
Riyadh I. Al-Raoush [email protected]
Associate Professor, Dept. of Civil and Architectural Engineering, Qatar Univ., Doha, Qatar. 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

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share