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Compaction Stress in Fine Powders

Published online by Cambridge University Press:  10 February 2011

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, ajhurd@sandia.gov
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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
Copyright
Copyright © Materials Research Society 1998

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References

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