Frictional characteristics of granular system under high pressure

Abstract

In order to reveal the force transmission features of the granules in the solid granule medium forming (SGMF) technology, the frictional characteristics of the non-metallic granule medium (NGM) under high pressure were investigated by tests and simulations. And the relevant changing curves of the internal friction coefficient of the granular system under different normal pressures were obtained by self-designed shear test. By the granule volume compression test, the accurate discrete element simulation parameters were obtained, based on this, the discrete element method (DEM) was adopted to reveal the evolution law of the NGM granules movement in the sample shear process from the microscopic view. Based on the DEM, the influence of granule diameter, surface friction coefficient, normal pressure and shear velocity on the internal friction coefficient of the granular system were studied. And the parameters were conducted to be dimensionless by introducing the inertia coefficient. Finally, the expression showing power-law relationship of inertia coefficient, surface friction coefficient and internal friction coefficient is obtained.

Keywords

granule / friction coefficient / discrete element method / inertia coefficient

References

[1] MidiG. On dense granular flows [J]. European Physical Journal E, 2004, 14: 341-365

[2] Windows-YuleC R K, RivasN, ParkerD J, ThorntonA R. Low-frequency oscillations and convective phenomena in a density-inverted vibrofluidized granular system [J]. Physical Review E, 2014, 90: 062205

[3] NeddermanR MStatics and kinematics of granular materials [M], 1992CambridgeCambridge University Press1-7

[4] BassettD S, OwensE T, DanielsK E, PorterM A. Influence of network topology on sound propagation in granular materials [J]. Physical Review E, 2012, 86: 041306

[5] SinghA, MagnanimoV, SaitohK, LudingS. Effect of cohesion on shear banding in quasistatic granular materials [J]. Physical Review E, 2014, 90: 022202

[6] ChauchatJ, MédaleM. A three-dimensional numerical model for dense granular flows based on the μ(I) rheology [J]. Journal of Computational Physics, 2014, 256: 696-712

[7] RajchenbachJ. Granular flows [J]. Advances in Physics, 2000, 49: 229-256

[8] HinrichsenH, WolfD. The physics of granular media [M]. Weinheim: Wiley-VCH, 200455

[9] ZhaoC C, DongG J, XiaoH, WangY S. New process of solid granule medium forming [J]. Journal of Mechanical Engineering, 2009, 45(8): 255-260

[10] CaoM-y, ZhaoC-c, DongG-jiang. Numerical simulation on granules medium drawing process parameters of magnesium alloy sheet [J]. The Chinese Journal of Nonferrous Metals, 2012, 22(11): 2992-2999

[11] GrünerM, MerkleinM. Numerical simulation of hydro forming at elevated temperatures with granular material used as medium compared to the real part geometry [J]. International Journal of Material Forming, 2010, 3(1): 279-282

[12] DongG J, ZhaoC C, CaoM Y. Flexible-die forming process with solid granule medium on sheet metal [J]. Transactions of Nonferrous Metals Society of China, 2013, 23: 2666-2677

[13] LiuS H, SunDE'AN, MatsuokaH. On the interface friction in direct shear test [J]. Computers and Geotechnics, 2005, 32: 317-325

[14] WangZ J, JingG Q, YuQ F, YinH. Analysis of ballast direct shear tests by discrete element method under different normal stress [J]. Measurement, 2015, 63: 17-24

[15] JiangM-j, HuH-junDiscrete element numerical simulation on equal-suction tri-axial shear test on dense and loose granular materials [J] Journal of Central South University: Science and Technology, 2010, 41(6): 2350-2359

[16] ZhangL, WangY J, ZhangJ. Force-chain distributions in granular systems [J]. Physical Review E, 2014, 89: 012203

[17] SinghA, MagnanimoV, SaitohK, LudingS. Effect of cohesion on shear banding in quasistatic granular materials [J]. Physical Review E, 2014, 90: 022202

[18] BarretoD, O’SullivanC. The influence of inter-particle friction and the intermediate stress ratio on soil response under generalised stress conditions [J]. Granular Matter, 2012, 14: 505-521

[19] HuangX, HanleyK J, O’SullivanC, KwokC Y, WadeeM A. DEM analysis of the influence of the intermediate stress ratio on the critical-state behaviour of granular materials [J]. Granular Matter, 2014, 16: 641-655

[20] CundallP A, StrackO D L. A discrete numerical model for granular assemblies [J]. Geotechnique, 1979, 29: 47-65

[21] ITASCA. PFC2D theory and background manual 1999, Version 2.0.[EB/OL]:http://www.itascacg.com.

[22] JohnsonK LContact mechanics [M], 1985CambridgeCambridge University Press159-180

[23] SilbertL E, ErtasD, GrestG S, HalseyT C, LevineD, PlimptonS J. Granular flow down an inclined plane: Bagnold scaling and rheology [J]. Physical Review E, 2001, 64: 051302

[24] SunQ C, WangG Q. Force distribution in static granular matter in two dimenisions [J]. Acta Physica Sinica, 2008, 57(8): 4667-4674

[25] ScottR F. Principles of soil mechanics [M]. Addison Wesley, 1963550

[26] ZengY, ZhouJ. Influence of micro parameters of sandy soil on macro properties [J]. Chinese Journal of Underground Space and Engineering, 2008, 4(3): 499-503

[27] QianJ-g, YouZ-p, HuangM-song. Anisotropic characteristics of granular materials under simple shear [J]. Journal of Central South University, 2013, 20: 2275-2284

[28] CruzF D, EmamS, ProchnowM, RouxJ N, ChevoirF. Rheophysics of dense granular materials: Discrete simulation of plane shear flows [J]. Physical Review E, 2005, 72: 021309

[29] LoisG, LematreA, CarlsonJ M. Emergence of multi-contact interactions in contact dynamics simulations of granular shear flows [J]. Europhys Letters, 2006, 76: 318-324

[30] AbrahamssonP J, SasicS, RasmusonA. On the continuum modeling of dense granular flow in high shear granulation [J]. Powder Technology, 2014, 268: 339-346

[31] LiaoC C, HsiauS S, ChangP S. Bottom wall friction coefficients on the dynamic properties of sheared granular flows [J]. Powder Technology, 2015, 270: 348-357

[32] ChoN, MartinC D, SegoD C. Development of a shear zone in brittle rock subjected to direct shear [J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45: 1335-1346

[33] HärtlJ, OoiJ Y. Numerical investigation of particle shape and particle friction on limiting bulk friction in direct shear tests and comparison with experiments [J]. Powder Technology, 2011, 212: 231-239