On Probabilistic Distribution of Forces in Granular Materials: A Statistical Mechanics Approach

Abstract

The contact force distribution in stressed grain piles under simple compaction or gravity has been studied intensively in recent years. In the present investigation, by performing discrete element simulations, it is found that the contact force distribution in a stressed granular packing can be described by a generalized form the Second Law of Thermodynamics involving minimization of a free energy functional containing an energy and an entropy component. The relative importance of energy and entropy is controlled by a parameter known as the “mechanical temperature”.

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References

  1. 1.

    Y. Hayakawa, A. Makino, H. Fujimori and A. Inoue, J. Appl. Phys. 81, 3747 (1997).

    CAS  Article  Google Scholar 

  2. 2.

    H. Fujimori, Sripta Met. Mat. 33 1625 (1995).

  3. 3.

    G. C. Hadjipanayis and G. A. Prinz, Science and Technology of Nanostructured Magnetic Materials, (plunum Press, New York, 1991).

    Google Scholar 

  4. 4.

    J. F. Loffler, H. B. Braun, W. Wagner, G. Kostorz, and A. Wiedenmann, Mat. Sci. Eng. A304–306, 1050 (2001)

    Article  Google Scholar 

  5. 5.

    Y.D. Zhang, S. H. Wang, T. D. Xiao, J.I. Budnick, and W.A. Hines, IEEE Trans. Mag. 37, 2275 (2001).

    CAS  Google Scholar 

  6. 6.

    W.D. Jones, Fundamental Principles of Powder Metallugy, (E. Arnold, London, 1960).

  7. 7.

    R. M. German, Powder Metallurgy of Iron and Steel, (John Wiley & Sons, Inc. New York, 1998).

    Google Scholar 

  8. 8.

    X. Q. Ma, Y. M. Rhyim, H. W. Jin, C. G. Park and M. C. Kim, Materials and Manufacturing Processes, 14, 195 (1999).

    CAS  Article  Google Scholar 

  9. 9.

    R. C. Tucker, Jr., J. Vac. Sci. Technol., 11, 725 (1974).

    CAS  Article  Google Scholar 

  10. 10.

    P. Saravanan, V. Selvarajan, M. P. Srivastava, D. S. Rao, S. V. Joshi and G. Sundararajan, Journal of Thermal Spray Technology, 9, 505 (2000).

    CAS  Article  Google Scholar 

  11. 11.

    P. Saravanan, V. Selvarajan, D. S. Rao, S. V. Joshi and G. Sundararajan, Surface and Coatings Technology, 123, 44 (2000).

    CAS  Article  Google Scholar 

  12. 12.

    Z. E. Erkmen, Journal of Biomedical Materials Research, 48, 861 (1999).

    CAS  Article  Google Scholar 

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Correspondence to Alfonso H. W. Ngan.

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Ngan, A.H.W. On Probabilistic Distribution of Forces in Granular Materials: A Statistical Mechanics Approach. MRS Online Proceedings Library 759, 22 (2002). https://doi.org/10.1557/PROC-759-MM2.2

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