Math @ Duke
Publications [#9747] of John V. Matthews
- Pierre A. Gremaud, John V. Matthews, Michael Shearer, Similarity solution for granular flows in hoppers,
Proceedings of the SIAM/AMS Conference on Nonlinear PDEs, Dynamics and Continuum Physics; J. Bona, K. Saxton, R. Saxton, Eds.; AMS Contemporary Mathematics Series, 2000, pp. 79-95
(last updated on 2000/12/18)
Similarity solutions for the steady state equations
governing flow of granular materials under gravity in a
conical or wedge-shaped hopper are constructed. Such
solutions can be considered for various plasticity models.
Results obtained under the classical Mohr-Coulomb yield
condition are compared with those obtained when a von Mises
yield contidion is imposed. A thorough stability study in
the case of the Mohr-Coulomb materials, for which several
important simplifications take place, is proposed.
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