Advertisement

Acta Mechanica Solida Sinica

, Volume 27, Issue 2, pp 129–136 | Cite as

Studies on Structural and Mechanical Properties under Isostatic Compression with Large-Scale Discrete Element Simulations

  • Jianguo Liu
  • Qicheng Sun
  • Feng Jin
  • Qingkai Liu
Article

Abstract

Granular systems undergo a jamming transition at point J simply by increasing the packing fraction. A large-scale parallel discrete element code (THDEM: TsingHua Discrete Element Method) was used to obtain a satisfying statistical description of the structural and mechanical properties near point J. The isostatic compressions of 100,000 polydispersed frictionless particles were simulated on high performance computers to clearly observe the sophisticated configurations of force chains. The first peak of the pair correlation function, coordination number, spatial distribution of the packing fraction, and stress were calculated to analyze their variations with increasing packing fraction. The critical packing fraction at point J is determined to be 0.62. The incremental stress and coordination number from point J scale well with the power law, and coincide with previous theoretical predications. The distribution of the packing fraction is a normal distribution around the average value. The standard deviation decreases with increasing packing fraction, indicating the system is more uniform with a denser packing.

Key Words

granular matter jamming transition force chains parallel computing 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Liu, A. J. and Nagel, S.R., Nonlinear dynamics: Jamming is not just cool any more. Nature, 1998, 396: 21–22.CrossRefGoogle Scholar
  2. 2.
    Xu, N., Mechanical, vibrational, and dynamical properties of amorphous systems near jamming. Frontiers of Physics in China, 2011, 6: 109–123.Google Scholar
  3. 3.
    Zhu, H.P., Zhou, Z.Y., Yang, R.Y. and Yu, A.B., Discrete particle simulation of particulate systems: A review of major applications and findings. Chemical Engineering Science, 2008, 63: 5728–5770.CrossRefGoogle Scholar
  4. 4.
    Walther, J.H. and Sbalzarini, I.F., Large-scale parallel discrete element simulations of granular flow. Engineering Computations, 2009, 26: 688–697.CrossRefGoogle Scholar
  5. 5.
    Sbalzarini, I.F., Walther, J.H., Bergdorf, M., Hieber, S.E., Kotsalis, E.M. and Koumoutsakos, P., PPM — a highly efficient parallel particle–mesh library for the simulation of continuum systems. Journal of Computational Physics, 2006, 215: 566–588.CrossRefGoogle Scholar
  6. 6.
    Mo, Z.Y., Zhang, A.Q., Cao, X.L., Liu, Q.K., Xu, X.W., An, H.B., Pei, W.B. and Zhu, S.P., JASMIN: a parallel software infrastructure for scientific computing. Frontiers of Computer Science in China, 2010, 4: 480–488.CrossRefGoogle Scholar
  7. 7.
    Ji, S.Y. and Shen, H.H., Characteristics of temporal- spatial parameters in quasi- solid-fluid phase transition of granular materials. Chinese Science Bulletin, 2006, 51: 646–654.CrossRefGoogle Scholar
  8. 8.
    Zou, L.N., Cheng, X., Rivers, M.L., Jaeger, H.M., and Nagel, S.R., The packing of granular polymer chains. Science, 2009, 326: 408–410.MathSciNetCrossRefGoogle Scholar
  9. 9.
    Cheng, X., Experimental study of the jamming transition at zero temperature. Physical Review E, 2010, 81: 031301.CrossRefGoogle Scholar
  10. 10.
    Silbert, L.E., Liu, A.J., and Nagel, S.R., Structural signatures of the unjamming transition at zero temperature. Physical Review E, 2006, 73: 041304.CrossRefGoogle Scholar
  11. 11.
    Ngan, A.H.W., On distribution of contact forces in random granular packings. Physica A, 2004, 339: 207–227.MathSciNetCrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  • Jianguo Liu
    • 1
  • Qicheng Sun
    • 1
  • Feng Jin
    • 1
  • Qingkai Liu
    • 2
  1. 1.State Key Laboratory of Hydroscience and EngineeringTsinghua UniversityBeijingChina
  2. 2.High Performance Computing CenterInstitute of Applied Physics and Computational MathematicsBeijingChina

Personalised recommendations