Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-09T06:15:00.566Z Has data issue: false hasContentIssue false
  • English
  • Français

Compaction Stress in Fine Powders

Published online by Cambridge University Press:  10 February 2011

J.E. Scott ,
V.M. Kenkre ,
E.A. Pease  and
A. J. Hurd
J.E. Scott
Affiliation:
Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131
V.M. Kenkre
Affiliation:
Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131
E.A. Pease
Affiliation:
Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131
A. J. Hurd
Affiliation:
Sandia National Laboratories, MS 1349, Albuquerque, NM 87185, [email protected]
Get access

Abstract

A vexing feature in granular materials compaction is density extrema interior to a compacted shape. Such inhomogeneities can lead to weaknesses and loss of dimensional control in ceramic parts, unpredictable dissolution of pharmaceuticals, and undesirable stress concentration in load-bearing soil. As an example, the centerline density in a cylindrical compact often does not decrease monotonically from the pressure source but exhibits local maxima and minima. Two lines of thought in the literature predict, respectively, diffusive and wavelike propagation of stress. Here, a general memory function approach has been formulated that unifies these previous treatments as special cases; by analyzing a convenient intermediate case, the telegrapher's equation, one sees that local density maxima arise via semidiffusive stress “waves” reflecting from the die walls and adding constructively at the centerline.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 520: Symposium P – Nanostructured Powders & Their Industrial Application , 1998 , 33
Copyright
Copyright © Materials Research Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Jaeger, H. M., Nagel, S. R., and Behringer, R. P., Reviews of Modern Physics 68, 1259 (1996), Physics Today 49, 32 (1996).Google Scholar
[2] Mehta, A., ed., Granular Matter: An Interdisciplinary Approach, Springer-Verlag, New York, 1994.Google Scholar
[3] Edwards, S. F. and Oakeshott, R. B. S., Physica D 38, 88 (1989).Google Scholar
[4] Edwards, S. F. and Mounfield, C. C., Physica A 226, 1 (1996).Google Scholar
[5] Bouchaud, J. P., Cates, M. E., and Claudin, P., J. Phys. I France 5, 639 (1995).Google Scholar
[6] Aydin, I., Briscoe, B. J., and Sanliturk, K. Y., Computational Materials Science 3, 55 (1994); Powder Technology 89, 239 (1996).Google Scholar
[7] Kamm, R., Steinberg, M. A., and Wulff, J., Trans. AIME 171, 439 (1947); 180, 694 (1949).Google Scholar
[8] Kuczynski, G. C. and Zaplatynsky, I., Trans. AIME 206, 215 (1956).Google Scholar
[9] Train, D., Trans. Instn. Chem. Engrs. 35, 258 (1957).Google Scholar
[10] Macleod, H. M. and Marshall, K., Powder Technology 16, 107 (1977).Google Scholar
[11] Kenkre, V. M., Scott, J. E., Pease, E. A., and Hurd, A. J., Phys. Rev. E, (parts I and II, in press, 1997).Google Scholar
[12] Seelig, R. P., Trans. AIME 171, 506 (1947).Google Scholar
[13] Thompson, R. A., Ceramic Bulletin 60, 237 (1981).Google Scholar
[14] Cooper, A. R. and Eaton, L. E., J. Am. Ceram. Soc. 45, 97 (1962).Google Scholar
[15] Kenkre, V. M., Endicgott, M. R., Glass, S. J., and Hurd, A. J., J. Am. Ceram. Soc. 79, 3045 (1996)Google Scholar
[16] Duwez, P. and Zwell, L., Trans. AIME 185, 137 (1949).Google Scholar
[17] Janssen, H. A., Z. Ver. Dt. Ing. 39, 1045 (1895).Google Scholar
[18] Liu, C. -h., Nagel, S. R., Schecter, D. A., Coppersmith, S. N., Majumdar, S., Narayan, O., Witten, T. A., Science 269, 513 (1995).Google Scholar
[19] Kenkre, V. M., in Energy Transfer Processes in Condensed Matter, edited by Bartolo, B. Di (Plenum Press, New York, 1984), pp. 205–249.Google Scholar
[20] Morse, P. M. and Feshbach, H., Methods of Theoretical Physics, Volume 1, McGraw Hill Book Company, Inc., New York, 1953, p. 865.Google Scholar
[21] Kenkre, V. M. and Reineker, P., Exciton Dynamics in Molecular Crystals and Aggregates, Springer-Verlag, New York, 1982.Google Scholar
[22] Farlow, S. J., Partial Differential Equations for Scientists and Engineers, Dover Publications, Inc., New York, 1982, pp. 64–73.Google Scholar