Abstract
In this paper a comparison is made between a discrete Newtonian many rigid body model of a confined granular material and two types of continuum plasticity model. On the basis of this comparison the rigid-body constraint in the discrete model is used to motivate and formulate a kinematic rule, proposed previously in Harris (1995a,b), which states that the relative velocity of two infinitesimally separated material particles is a superposition of dilatant shears in certain slip directions together with a local rotation of those slip directions. Continuum plasticity models, for example the plastic potential model, the double-shearing model proposed in Spencer (1964) and the double-sliding free-rotating model proposed in de Josselin de Jong (1959), may be described in terms of simultaneous slip on two such directions.
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© 1997 Springer Science+Business Media Dordrecht
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Harris, D. (1997). Modelling Mathematically the Flow of Granular Materials. 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_22
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DOI: https://doi.org/10.1007/978-94-011-5520-5_22
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