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Fluid boundary of a viscoplastic Bingham flow for finite solid deformations

Thual, Olivier and Lacaze, Laurent Fluid boundary of a viscoplastic Bingham flow for finite solid deformations. (2010) Journal of Non-Newtonian Fluid Mechanics, 165 (3-4). 84-87. ISSN 0377-0257

(Document in English)

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Official URL: http://dx.doi.org/10.1016/j.jnnfm.2009.09.005


The modelling of viscoplastic Bingham fluids often relies on a rheological constitutive law based on a "plastic rule function" often identical to the yield criterion of the solid state. It is also often assumed that this plastic rule function vanishes at the boundary between the solid and fluid states, based on the fact that it is true in the limit of small deformations of the solid state or for simple yield criteria. We show that this is not the case for finite deformations by considering the example of a two state flow on a tilted plane where the solid state is described by a Neo-Hookean model with a Von Mises yield criterion. This opens new approaches for the modelling and the computation of the fluid state boundaries.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com http://dx.doi.org/10.1016/j.jnnfm.2009.09.005
HAL Id:hal-00960259
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:06 Nov 2012 10:07

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