The constitutive response of granular soils under indefinitely large shear deformation and low stress controls the dynamics of shallow landslides and offshore pipelines. Current testing devices, however, are either limited to small shear deformation or involve a non-uniform stress distribution across the sample being tested. This paper presents the development of an original stadium shear device (SSD) that is free from those issues. In the SSD, soil samples can deform perpetually within a closed stadium shaped container that is sheared continuously by a belt. The stress uniformity across the width of the device is validated using Discrete Element Method (DEM) simulations, which give insight into the relationships between the normal stresses acting on the material. The performance of the SSD is validated using experimental data obtained from tests on glass beads, which further disclose stress and void ratio relationship in soils. When applied to sub-angular natural sands with different degrees of polydispersity, the SSD reveals a weak rate hardening of friction coefficient and sample dilatancy that reaches the loosest possible density at critical state, regardless of the initial packing conditions.
Revised:
Accepted:
Published online:
@article{OGEO_2022__3__A2_0, author = {Liu, Yang and Guillard, Fran\c{c}ois and Marks, Benjy and Rognon, Pierre and Einav, Itai}, title = {The perpetual shearing of granular soils under low stresses using the stadium shear device}, journal = {Open Geomechanics}, eid = {2}, pages = {1--19}, publisher = {Alert Geomaterials}, volume = {3}, year = {2022}, doi = {10.5802/ogeo.10}, language = {en}, url = {https://opengeomechanics.centre-mersenne.org/articles/10.5802/ogeo.10/} }
TY - JOUR AU - Liu, Yang AU - Guillard, François AU - Marks, Benjy AU - Rognon, Pierre AU - Einav, Itai TI - The perpetual shearing of granular soils under low stresses using the stadium shear device JO - Open Geomechanics PY - 2022 SP - 1 EP - 19 VL - 3 PB - Alert Geomaterials UR - https://opengeomechanics.centre-mersenne.org/articles/10.5802/ogeo.10/ DO - 10.5802/ogeo.10 LA - en ID - OGEO_2022__3__A2_0 ER -
%0 Journal Article %A Liu, Yang %A Guillard, François %A Marks, Benjy %A Rognon, Pierre %A Einav, Itai %T The perpetual shearing of granular soils under low stresses using the stadium shear device %J Open Geomechanics %D 2022 %P 1-19 %V 3 %I Alert Geomaterials %U https://opengeomechanics.centre-mersenne.org/articles/10.5802/ogeo.10/ %R 10.5802/ogeo.10 %G en %F OGEO_2022__3__A2_0
Liu, Yang; Guillard, François; Marks, Benjy; Rognon, Pierre; Einav, Itai. The perpetual shearing of granular soils under low stresses using the stadium shear device. Open Geomechanics, Volume 3 (2022), article no. 2, 19 p. doi : 10.5802/ogeo.10. https://opengeomechanics.centre-mersenne.org/articles/10.5802/ogeo.10/
[1] Standard testing methods for maximum index density and unit weight of soils using a vibratory table (2016) (Standard)
[2] Optical analysis of stress and strain in photoelastic particle assemblies, Ph. D. Thesis, Delft University of Technology, The Netherlands (1987)
[3] Self-compacting concrete incorporating steel and polypropylene fibers: Compressive and tensile strengths, moduli of elasticity and rupture, compressive stress–strain curve, and energy dissipated under compression, Composites Part B: Engineering, Volume 53 (2013), pp. 121-133 | DOI
[4] Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 225 (1954) no. 1160, pp. 49-63
[5] The influence of particle breakage on the location of the critical state line of sands, Soils and Foundations, Volume 51 (2011) no. 4, pp. 591-600 | DOI
[6] A new ring shear apparatus and its application to the measurement of residual strength, Géotechnique, Volume 21 (1971) no. 4, pp. 273-328 | DOI
[7] X-ray rheography uncovers planar granular flows despite non-planar walls, Nature communications, Volume 9 (2018) no. 1, pp. 1-9
[8] Granular shear flow dynamics and forces: Experiment and continuum theory, Physical Review E, Volume 65 (2001) no. 1, p. 011307 | DOI
[9] The strength and dilatancy of sands, Géotechnique, Volume 36 (1986) no. 1, pp. 65-78 | DOI
[10] The UBC ring shear device, Ph. D. Thesis, University of British Columbia (1980)
[11] , Mechanical Engineering (1972), p. 60
[12] Nonlocal rheology of granular flows across yield conditions, Physical Review Letters, Volume 111 (2013) no. 23, p. 238301 | DOI
[13] Particle shape effects on packing density, stiffness, and strength: natural and crushed sands, Journal of Geotechnical and Geoenvironmental Engineering, Volume 132 (2006) no. 5, pp. 591-602
[14] Three-dimensional shear in granular flow, Physical Review Letters, Volume 96 (2006) no. 3, p. 038001 | DOI
[15] Physical properties of the lunar surface, Lunar Sourcebook (1991), pp. 475-594
[16] Dilatancy and shear strength of sand at low confining pressures, Journal of Geotechnical and Geoenvironmental Engineering, Volume 136 (2010) no. 3, pp. 527-532 | DOI
[17] Shear with comminution of a granular material: Microscopic deformations outside the shear band, Physical Review E, Volume 68 (2003) no. 1, p. 011304 | DOI
[18] Viscosity bifurcation in granular materials, foams, and emulsions, Physical Review E, Volume 66 (2002) no. 5, p. 051305 | DOI
[19] Macroscopic friction of dry granular materials, Tribology Series, Volume 43 (2003), pp. 53-61 | DOI
[20] Rheophysics of dense granular materials: Discrete simulation of plane shear flows, Physical Review E, Volume 72 (2005) no. 2, p. 021309 | DOI
[22] Shear strength of cohesionless soils at low stress, Géotechnique, Volume 55 (2005) no. 6, pp. 467-478 | DOI
[23] Long-surface-wave instability in dense granular flows, Journal of Fluid Mechanics, Volume 486 (2003), pp. 21-50 | DOI | MR | Zbl
[24] Universal and wide shear zones in granular bulk flow, Physical Review Letters, Volume 92 (2004) no. 9, p. 094301 | DOI
[25] Rolling, sliding and torsion of micron-sized silica particles: experimental, numerical and theoretical analysis, Granular matter, Volume 16 (2014) no. 3, pp. 281-297 | DOI
[26] Dynamic X-ray radiography reveals particle size and shape orientation fields during granular flow, Scientific Reports, Volume 7 (2017)
[27] Power-law friction in closely packed granular materials, Physical Review E, Volume 75 (2007) no. 6, p. 060301 | DOI
[28] Stress fluctuations in a 2D granular Couette experiment: a continuous transition, Physical Review Letters, Volume 82 (1999) no. 26, p. 5241 | DOI
[29] Observations of rapidly flowing granular-fluid materials, Journal of Fluid Mechanics, Volume 150 (1985), pp. 357-380 | DOI
[30] High velocity ring shear tests on sand, Géotechnique, Volume 34 (1984) no. 3, pp. 415-421 | DOI
[31] , Proceedings of the 1st International Conference on Soil Mechanics and Foundation Engineering (1936), pp. 125-129
[32] , Proceedings-American Society for Testing and Materials, Volume 39 (1939), p. 999
[33] Granular lubrication: toward an understanding of the transition between kinetic and quasi-fluid regime, Journal of Tribology, Volume 126 (2004) no. 1, pp. 137-145 | DOI
[34] Crucial role of sidewalls in granular surface flows: consequences for the rheology, Journal of Fluid Mechanics, Volume 541 (2005), pp. 167-192 | Zbl
[35] A constitutive law for dense granular flows, Nature, Volume 441 (2006) no. 7094, pp. 727-730
[36] Design and performance of a 1m diameter ring shear apparatus, Geotechnical Testing Journal, Volume 26 (2003) no. 4, pp. 444-449
[37] Nonlocal constitutive relation for steady granular flow, Physical Review Letters, Volume 108 (2012) no. 17, p. 178301 | DOI
[38] Annular shear of cohesionless granular materials: From the inertial to quasistatic regime, Physical Review E, Volume 79 (2009) no. 2, p. 021306 | DOI
[39] Convection and size segregation in a Couette flow of granular material, Physical Review E, Volume 56 (1997) no. 4, p. 4467 | DOI
[40] Particle dynamics in sheared granular Matter, Physical Review Letters, Volume 85 (2000) no. 7, p. 1428 | DOI
[41] Landslide erosion controlled by hillslope material, Nature Geoscience, Volume 3 (2010) no. 4, p. 247 | DOI
[42] Experimental studies of compaction and dilatancy during frictional sliding on faults containing gouge, Journal of Structural Geology, Volume 11 (1989) no. 7, pp. 815-825 | DOI
[43] Signatures of granular microstructure in dense shear flows, Nature, Volume 406 (2000) no. 6794, pp. 385-389 | DOI
[44] , Lunar and Planetary Science Conference Proceedings, Volume 3 (1972), p. 3235
[45] On dense granular flows, The European Physical Journal E, Volume 14 (2004) no. 4, pp. 341-365 | DOI
[46] Stress fluctuations for continuously sheared granular materials, Physical Review Letters, Volume 77 (1996) no. 15, p. 3110 | DOI
[47] Eddy viscosity in dense granular flows, Physical Review Letters, Volume 111 (2013) no. 5, p. 058002 | DOI
[48] Compaction of granular material inside confined geometries, Frontiers in Physics, Volume 3 (2015), p. 41
[49] Studies on granular materials. II. Apparatus for measuring the dynamic angle of internal and external friction of granular materials, Collection of Czechoslovak Chemical Communications, Volume 29 (1964) no. 11, pp. 2697-2701 | DOI
[50] Constant-volume friction angle of granular materials, Canadian Geotechnical Journal, Volume 25 (1988) no. 1, pp. 50-55 | DOI
[51] Stress-strain behavior of sand at high strain rates, International Journal of Impact Engineering, Volume 49 (2012), pp. 192-213 | DOI
[52] Frictionless bead packs have macroscopic friction, but no dilatancy, Physical Review E, Volume 78 (2008) no. 1, p. 011307 | DOI
[53] On the stability of loose earth, Philosophical Transactions of the Royal Society of London, Volume 147 (1857), pp. 9-27
[54] A circulation-based method for detecting vortices in granular materials, Granular Matter, Volume 17 (2015) no. 2, pp. 177-188 | DOI
[55] Long-range wall perturbations in dense granular flows, Journal of Fluid Mechanics, Volume 764 (2015), pp. 171-192 | DOI
[56] An aerial photograph inventory of the frequency and yield of mass wasting on the Queen Charlotte Islands, British Columbia, Information Services Branch, Ministry of Forests, 1984
[57] Relation between the critical state friction angle of sands and low vertical stresses in the direct shear test, Soils and Foundations, Volume 58 (2018) no. 5, pp. 1282-1287 | DOI
[58] The stress-dilatancy relation for static equilibrium of an assembly of particles in contact, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Volume 269 (1962) no. 1339, pp. 500-527
[59] Soil compaction and density tests - determination of the minimum and maximum dry density of a cohesionless material - standard method (1998) (Standard)
[60] A new intelligent-type dynamic loading ring shear apparatus, Landslide News, Volume 10 (1997), p. 33
[61] The mechanics of rapid granular flows, Advances in Applied Mechanics, Volume 24 (1984), pp. 289-366 | DOI | Zbl
[62] The direct shear strength and dilatancy of sand–gravel mixtures, Geotechnical & Geological Engineering, Volume 24 (2006) no. 3, p. 523 | DOI
[63] Friction-controlled entropy-stability competition in granular systems, Physical Review E, Volume 125 (2020) no. 26, p. 268005
[64] Stresses developed by dry cohesionless granular materials sheared in an annular shear cell, Journal of Fluid Mechanics, Volume 142 (1984), pp. 391-430 | DOI
[65] Viscometric flow of dense granular materials under controlled pressure and shear stress, Journal of Fluid Mechanics, Volume 907 (2021), p. A18 | DOI | MR | Zbl
[66] Angles of friction and dilatancy of sand, Géotechnique, Volume 46 (1996) no. 1, pp. 145-152 | DOI
[67] Critical state soil mechanics, 310, McGraw-Hill London, London, 1968
[68] Shaft resistance of piles in sand, Ph. D. Thesis, The University of Sydney (1997)
[69] Modeling of pipe–soil interaction and its application in numerical simulation, International Journal of Geomechanics, Volume 8 (2008) no. 4, pp. 213-229 | DOI
[70] A constitutive modelling framework predicting critical state in sand undergoing crushing and dilation, Géotechnique, Volume 66 (2016) no. 9, pp. 695-710 | DOI
[71] Ring shear tests on soil from the Vaiont landslide slip surface, Géotechnique, Volume 49 (1999) no. 1, pp. 59-74 | DOI
[72] Ring shear tests to evaluate strength parameters in various remoulded soils, Géotechnique, Volume 59 (2009) no. 8, pp. 649-659 | DOI
[73] Strength and deformation characteristics of sand in plane strain compression at extremely low pressures, Soils and Foundations, Volume 26 (1986) no. 1, pp. 65-84 | DOI
[74] Fast shearing of pre-existing shear zones in soil, Géotechnique, Volume 46 (1996) no. 2, pp. 197-233 | DOI
[75] Modeling of particle size segregation: calibration using the discrete particle method, International Journal of Modern Physics C, Volume 23 (2012) no. 08, p. 1240014 | DOI
[76] Kinematics of a two-dimensional granular Couette experiment at the transition to shearing, Physical Review E, Volume 59 (1999) no. 1, p. 739 | DOI
[77] The strength and dilatancy of sand, Canadian Geotechnical Journal, Volume 29 (1992) no. 3, pp. 522-526 | DOI
[78] Soil behaviour and critical state soil mechanics, Cambridge University Press, Cambridge, Cambridge, 1990
[79] et al. Seabed characterisation and models for pipeline-soil interaction, International Journal of Offshore and Polar Engineering, Volume 17 (2007) no. 03
[80] , Proceedings of the Canadian Hydrology Symposium-Associate Committee on Hydrology (1982), pp. 521-541
[81] From discrete particles to continuum fields near a boundary, Granular Matter, Volume 14 (2012) no. 2, pp. 289-294 | DOI
[82] Modeling of shallowly embedded offshore pipelines in calcareous sand, Journal of Geotechnical and Geoenvironmental engineering, Volume 128 (2002) no. 5, pp. 363-371 | DOI
Cited by Sources: