Propagation of plane waves in granular media
Some recent theoretical results obtained on the propagation of plane longitudinal waves in granular materials are discussed. Using a one-dimensional formulation of the continuum theory of granular materials proposed by Goodman and Cowin, the longitudinal response of two classes of materials was modeled. The two classes are materials with compressible granules, such as pressed powders and sands at high confining pressures, and flowing materials with incompressible granules, such as sands at low confining pressures. The speed and the amplitude of the various types of acceleration waves possible in each class were considered. In materials with compressible granules, two waves were found to exist, an elastic wave followed by a compaction wave. However, in flowing materials with incompressible granules, the only wave possible is a wave of dilatancy. In each case, the influence of the initial material non-uniformity on the wave behavior is discussed, and some experimental observations which correlate with the results of the analysis are cited.
- Research Organization:
- Sandia Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 6920965
- Report Number(s):
- CONF-780618-1
- Country of Publication:
- United States
- Language:
- English
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