Fluctuation and self-diffusion research about dry granular materials under shearing

  • Fanjing MengEmail author
  • Xin Meng
  • Shaozhen Hua
  • Shuai Ma
Technical Paper


Flow and self-diffusion behaviors of granules in sheared granular systems are a typical study field but still not yet fully grasped because of the complexities and discreteness of granular matter systems. This paper presents a discrete element method-based simulation research of the fluctuation and self-diffusion characteristics of granules in a dense sheared granular system. Simulation results show that the average velocity of granules decreases with the altitude location, which is reverse to the variation of fluctuation velocity. It is noted that the model channel can be classified into “solid-like,” “oscillating” and “fluid-like” region according to the magnitude of shear rate and fluctuation velocity of granules. The self-diffusion of granules is greater in the “solid-like” region, but smaller in the “fluid-like” region. These findings emphasize the importance of research on macroscopic dynamics of granules, such as re-arrangement and self-diffusion of granular matter systems.


Dense granular system Fluctuation Self-diffusion Discrete element method 



This work was supported by the National Natural Science Foundation of China (51605150 and 11472096). This work was also partly supported by the Key Scientific Research Projects of Henan Universities (19B460002) and the Key Scientific Research Projects of Anhui Education Department (KJ2015A342).


  1. 1.
    Khoei AR, Mofid M, Bakhshiani A (2002) Modeling of powder compaction process using an endochronic plasticity model. J Mater Process Technol 130–131:175–180zbMATHGoogle Scholar
  2. 2.
    Elkholy KN, Khonsari MM (2008) Experimental investigation on the stick–slip phenomenon in granular collision lubrication. J Tribol 130(2):021302Google Scholar
  3. 3.
    Crean B, Chen X, Banks SR, Cook WG, Melia CD (2009) An investigation into the rheology of pharmaceutical inter- granular material bridges at high shear rates. Pharm Res 26(5):1101–1111Google Scholar
  4. 4.
    Wang W, Liu Y, Zhu GQ (2014) Using FEM–DEM coupling method to study three-body friction behavior. Wear 318(1–2):114–123Google Scholar
  5. 5.
    Ragione LL, Magnanimo V (2012) Contact anisotropy and coordination number for a granular assembly: a comparison of distinct-element-method simulations and theory. Phys Rev E 85(3 Pt 1):031304Google Scholar
  6. 6.
    Zhang Y, Campbell CS (1992) The interface between fluid-like and solid-like behavior in two-dimensional granular flows. J Fluid Mech 237(1):541–568Google Scholar
  7. 7.
    Chang JJ, Wang W, Zhao M (2017) Experimental study and simulation analysis on friction behavior of a mechanical surface sliding on hard particles. Proc Inst Mech Eng J J Eng 31(10):1371–1379Google Scholar
  8. 8.
    Nasuno S, Kudrolli A, Bak A, Gollur JP (1998) Time-resolved studies of stick-slip friction in sheared granular layers. Phys Rev E 58(2):2161–2171Google Scholar
  9. 9.
    Albert A, Tegzes P, Albert R, Sample JG (2001) Stick-slip fluctuations in granular drag. Phys Rev E 64(3):166–168Google Scholar
  10. 10.
    Wang W, Liu XJ, Liu K (2012) Experimental research on force transmission of dense granular assembly under shearing in Taylor–Couette geometry. Tribol Lett 48(2):229–236Google Scholar
  11. 11.
    Likawa N, Band MM, Katsuragi H (2015) Structural evolution of a granular pack under manual tapping. J Phys Soc Jpn 84(9):094401Google Scholar
  12. 12.
    Joseph L, Georgios T, Chiara D (2015) Nonlinear resonances and energy transfer in finite granular chains. Phys Rev E 91(1–2):023208Google Scholar
  13. 13.
    Aguilar J, Goldman DI (2016) Robophysical study of jumping dynamics on granular medium. Nat Phys 12:278–283Google Scholar
  14. 14.
    Yang ZX, Yang J, Wang LZ (2012) On the influence of inter-particle friction and dilatancy in granular materials: a numerical analysis. Granul Matter 14(3):433–447Google Scholar
  15. 15.
    Thornton C (2000) Numerical simulations of deviatoric shear deformation of granular media. Geotechnique 50(1):43–53Google Scholar
  16. 16.
    Silbert LE (2005) Temporally heterogeneous dynamics in granular flows. Phys Rev Lett 94(9):098002Google Scholar
  17. 17.
    Tordesillas A (2007) Force chain buckling, unjamming transitions and shear banding in dense granular assemblies. Philos Mag 87(32):4987–5016Google Scholar
  18. 18.
    Temizer I, Wriggers P (2008) A multiscale contact homogenization technique for the modeling of third bodies in the contact interface. Comput Methods Appl Mech Eng 198(3–4):377–396MathSciNetzbMATHGoogle Scholar
  19. 19.
    Zamani N, Shamy UE (2011) Analysis of wave propagation in dry granular soils using DEM simulations. Acta Geotech 6(3):167–182Google Scholar
  20. 20.
    Zhang HW, Zhou Q, Xing HL, Muhlhaus H (2011) A DEM study on the effective thermal conductivity of granular assemblies. Powder Technol 205(1–3):172–183Google Scholar
  21. 21.
    Sazzad MM, Suzuki K, Razavi AMF (2012) Macro–micro responses of granular materials under different b values using DEM. Int J Geomech 12(3):220–228Google Scholar
  22. 22.
    Jensen RP, Bosscher PJ, Plesha ME, Edil TB (2015) DEM simulation of granular media—structure interface: effects of surface roughness and particle shape. Int J Numer Anal Met Geo 23(23):531–547zbMATHGoogle Scholar
  23. 23.
    Wang W, Gu W, Liu K (2015) Force chain evolution and force characteristics of shearing granular media in Taylor–Couette geometry by DEM. Tribol Trans 58(2):197–206Google Scholar
  24. 24.
    Meng FJ, Liu K, Wang W (2015) The force chains and dynamic states of granular flow lubrication. Tribol Trans 58(1):70–78Google Scholar
  25. 25.
    Meng FJ, Liu K, Qin T (2018) Numerical analysis of multi-scale mechanical theory of densified powder compaction. J Braz Soc Mech Sci 40(9):430Google Scholar
  26. 26.
    Poux M, Fayoue P, Bertrand J, Bridoux D, Bousquet J (1991) Powder mixing: some practical rules applied to agitated systems. Powder Technol 68(3):213–234Google Scholar
  27. 27.
    Li TW, Benyahia S (2011) Revisiting Johnson and Jackson boundary conditions for granular flows. AIChE J 58(7):2058–2068Google Scholar
  28. 28.
    Elkholy KN, Khonsari MM (2008) On the effect of enduring contact on the flow and thermal characteristics in powder lubrication. Proc Inst Mech Eng J J Eng 222(6):741–759Google Scholar
  29. 29.
    Rabburi SHE, Suberi AA, Park H, Voumer J (2017) Characterizing rare fluctuations in soft particulate flows. Nat Commun 8(1):00022Google Scholar
  30. 30.
    Jaeger HM, Nagel SR, Behringer RP (1996) Granular solids, liquids, and gases. Rev Mod Phys 68(4):1259–1273Google Scholar
  31. 31.
    Schweizer J, Jamieson JB, Schneebeli M (2003) Snow avalanche formation. Rev Geophys 41(4):1016Google Scholar
  32. 32.
    Cundall PA, Strack A (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65Google Scholar
  33. 33.
    Lu LS, Hsiau SS (2008) DEM simulation of particle mixing in a sheared granular flow. Particuology 6:445–454Google Scholar
  34. 34.
    Hsiau SS, Shieh YM (1999) Fluctuations and self-diffusion of sheared granular material flows. J Rheol 43(5):1049–1066Google Scholar
  35. 35.
    Meng FJ, Liu K, Wang W (2014) Flow pattern and lubrication features in particulate lubrication interface. China Mech Eng 25(19):2562–2567Google Scholar
  36. 36.
    Wang W, Liu XJ, Liu K (2012) Experimental research on force transmission of dense granular assembly under shearing in Taylor–Couette geometry. Tribol Lett 48:229–236Google Scholar
  37. 37.
    Majmudar TS, Behringer RP (2005) Contact force measurements and stress-induced anisotropy in granular materials. Nature 435(23):1079–1082Google Scholar
  38. 38.
    Campbell CS (2006) Granular material flows—an overview. Powder Technol 162(3):208–229Google Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Fanjing Meng
    • 1
    Email author
  • Xin Meng
    • 2
  • Shaozhen Hua
    • 1
  • Shuai Ma
    • 2
  1. 1.Department of Mechanical and Electrical EngineeringHenan Institute of TechnologyXinxiangPeople’s Republic of China
  2. 2.Department of Mechanical EngineeringHubei University of Arts and ScienceXiangyangPeople’s Republic of China

Personalised recommendations