Abstract
Starting from the virtual power expression for fast flow of dense assemblies of rough, slightly inelastic spheres, we derive expressions for the average stress tensor, momentum and angular momentum balances and corresponding variational boundary conditions. We show that the stress tensor can be decomposed into two parts with distinct physical significance. The first part can be interpreted as an area averaged stress tensor, which is nonsymmetric in general. The second part is obtained as the divergence of a third order tensor which can be interpreted as the difference between the area and the volume averages of the stress tensor. Accordingly, the stress tensor is symmetric for quasistatic flow.
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© 1997 Springer Science+Business Media Dordrecht
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Mühlhaus, HB., Hornby, P. (1997). On the Reality of Antisymmetric Stresses in Fast Granular Flows. In: Fleck, N.A., Cocks, A.C.F. (eds) IUTAM Symposium on Mechanics of Granular and Porous Materials. Solid Mechanics and its Applications, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5520-5_27
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DOI: https://doi.org/10.1007/978-94-011-5520-5_27
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