The role of contact friction in the dynamic breakage behavior of granular materials
Source abstract
Abstract
Based on the discrete element method, a multi-scale model is employed to investigate the role of contact friction in the dynamic compression responses of brittle granular materials. Four numerical granular samples with different particle friction coefficients ranging from 0.0 to 2.0 are tested and the particle breakage extent is quantified with the Einav breakage index. It is observed that the relationship of the breakage extent with the axial stress is apparently non-monotonic concerning the particle friction coefficient. At the same stress level, the breakage extent exhibits a minimum when the particle friction coefficient is around 0.1 but increases significantly with the particle friction coefficient to both sides. The micro physical origin of this non-monotonic behavior is a distinct transition in dominant particle-breakage modes from tension to shear. Moreover, energy analyses also show non-monotonic evolution of the frictional and damping dissipation with the particle friction coefficient. The joint effect of these two dissipation terms contributes to the non-monotonic behavior of particle breakage. In addition, the accuracy and competence of two frequently-used micro quantities, fraction of sliding contacts and average coordination number, are discussed.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Granular flow and fluidized beds · Geotechnical and Geomechanical Engineering · Geotechnical Engineering and Soil Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (25)
Show source-provided references
1. Huang, J., Xu, S., Hu, S.: Effects of grain size and gradation on the dynamic responses of quartz sands. Int. J. Impact Eng. 59, 1–10 (2013)10.1016/j.ijimpeng.2013.03.007 ↗
2. Huang, J., Xu, S., Hu, S.: Influence of particle breakage on the dynamic compression responses of brittle granular materials. Mech. Mater. 68, 15–28 (2014)10.1016/j.mechmat.2013.08.002 ↗
3. Dutt, M., Elliott, J.A.: Granular dynamics simulations of the effect of grain size dispersity on uniaxially compacted powder blends. Granul. Matter (2013). doi: 10.1007/s10035-013-0463-31-6
4. Martin, C.L., Bouvard, D., Delette, G.: Discrete element simulations of the compaction of aggregated ceramic powders. J. Am. Ceram. Soc. 89(11), 3379–3387 (2006)10.1111/j.1551-2916.2006.01249.x ↗
5. Ben-Nun, O., Einav, I.: The role of self-organization during confined comminution of granular materials. Philos. Trans. R. Soc. A 368(1910), 231–247 (2010)10.1098/rsta.2009.0205 ↗
6. McDowell, G.R., Humphreys, A.: Yielding of granular materials. Granul. Matter 4(1), 1–8 (2002)10.1007/s10035-001-0100-4 ↗
7. Bolton, M.D., Nakata, Y., Cheng, Y.P.: Micro- and macro-mechanical behavior of DEM crushable materials. Geotechnique 58(6), 470–480 (2008)10.1680/geot.2008.58.6.471 ↗
8. Guo, Y., Morgan, J.K.: Influence of normal stress and grain shape on granular friction: results of discrete element simulations. J. Geophys. Res. 109(B12), 1–16 (2004)
9. Cheng, Y.P., Nakata, Y., Bolton, M.D.: Discrete element simulation of crushable soil. Geotechnique 53(7), 633–641 (2003)10.1680/geot.2003.53.7.633 ↗
10. Wang, M.H., Yang, R.Y., Yu, A.B.: DEM investigation of energy distribution and particle breakage in tumbling ball mills. Powder Technol. 223, 83–91 (2012)10.1016/j.powtec.2011.07.024 ↗
11. Cheng, Y.P., Bolton, M.D., Nakata, Y.: Crushing and plastic deformation of soils simulated using DEM. Geotechnique 54(2), 131–141 (2004)10.1680/geot.2004.54.2.131 ↗
12. Ben-Nun, O., Einav, I., Tordesillas, A.: Force attractor in confined comminution of granular materials. Phys. Rev. Lett. 104, 108001 (2010)10.1103/PhysRevLett.104.108001 ↗
13. Astrom, J.A., Herrmann, H.J.: Fragmentation of grains in a two-dimensional packing. Eur. Phys. J. B 5(3), 551–554 (1998)10.1007/s100510050476 ↗
14. Itasca Consulting Group (2003) Particle flow code in 3 dimensions (PFC3D)-user’s guide (version 3.0). Itasca Consulting Group Inc, Minneapolis, MN.
15. Song, B., Chen, W., Luk, V.: Impact compressive response of dry sand. Mech. Mater. 41(6), 777–785 (2009)10.1016/j.mechmat.2009.01.003 ↗
16. Hazzard, J.F., Young, R.P.: Micromechanical modeling of cracking and failure in brittle rocks. J. Geophys. Res. 105(B7), 16683–16697 (2000)10.1029/2000JB900085 ↗
17. Lim, W.L., McDowell, G.R.: Discrete element modeling of railway ballast. Granul. Matter 7(1), 19–29 (2005)10.1007/s10035-004-0189-3 ↗
18. Huang, J., Xu, S., Hu, S.: Investigations on the dynamic multi-scale model for brittle granular materials. Rock Soil Mech. 34(4), 922–932 (2013)
19. Xia, J., Miller, R.D., Park, C.B., Tian, G.: Determining Q of near-surface materials from Rayleigh waves. J. Appl. Geophys. 51(2), 121–129 (2002)10.1016/S0926-9851(02)00228-8 ↗
20. Einav, I.: Breakage mechanics—Part I: theory. J. Mech. Phys. Solids 55(6), 1274–1297 (2007)10.1016/j.jmps.2006.11.003 ↗
21. Couroyer, C., Ning, Z., Ghadiri, M.: Distinct element analysis of bulk crushing: effect of particle properties and loading rate. Powder Technol. 109(1), 241–254 (2000)10.1016/S0032-5910(99)00240-5 ↗
22. Marmottant, A., Salvo, L., Martin, C.L., Mortensen, A.: Coordination measurements in compacted NaCl irregular powders using X-ray microtomography. J. Eur. Ceram. Soc. 28(13), 2441–2449 (2008)10.1016/j.jeurceramsoc.2008.03.041 ↗
23. Zhang, H.P., Makse, H.A.: Jamming transition in emulsions and granular materials. Phys. Rev. E 72, 011301 (2005)10.1103/PhysRevE.72.011301 ↗
24. Huang, J., Xu, S., Hu, S.: Numerical investigations of the dynamic shear behavior of rough rock joints. Rock Mech. Rock Eng. 47, 1727–1743 (2014)10.1007/s00603-013-0502-8 ↗
25. Potyondy, D.O., Cundall, P.A.: A bonded-particle model for rock. Int. J. Rock Mech. Min. Sci. 41(8), 1329–1364 (2004)10.1016/j.ijrmms.2004.09.011 ↗