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The modelling of dense, slow granular flow using a new plasticity model

Tuesday 6th January 2009 - 09:40 to 10:05
INI Seminar Room 1
Flows of dense granular materials exhibit material behaviour which may be considered as either solid-like or fluid-like. Such flows have proven to be remarkably resistant to successful modelling. There is an emphasis by researchers on discrete models such as DEM to provide numerical simulations. It is, perhaps, natural that such manifestly discrete systems should be modelled in a discrete manner. However, as the magnitude of the macroscopic dimensions of the system increase relative to the grain size it becomes a desirable goal to implement a continuum model. The lack of an adequate continuum model for such flows is a major reason for the lack of understanding of this regime. The two major models coming from a solid-like formulation, namely the rigid- or elasto-plastic model incorporating a non-associated flow rule and the rigid-plastic double shearing model are both ill-posed in the sense that solutions to an initial value problem do not depend continuously on the initial data. In this talk we show how to combine certain aspects of the double-shearing model with the plastic potential model in the context of Cosserat, reduced-Cosserat and classical continua in way which resolves the issue of ill-posedness. Applications of the model are considered and it is demonstrated how the model may be used to solve problem of dense granular flow.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons