Fluid boundary of a viscoplastic Bingham flow for finite solid deformations

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 stat...

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Bibliographic Details
Published in:Journal of non-Newtonian fluid mechanics 2010-02, Vol.165 (3), p.84-87
Main Authors: Thual, O., Lacaze, L.
Format: Article
Language:English
Subjects:
Bingham fluid
Engineering Sciences
Exact sciences and technology
Fluid dynamics
Fluid mechanics
Fluids mechanics
Fundamental areas of phenomenology (including applications)
Mechanics
Neo-Hookean rheology
Non-newtonian fluid flows
Physics
Plastic rule function
Von Mises criterion
Yield stress
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Summary: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.
ISSN:0377-0257
1873-2631
DOI:10.1016/j.jnnfm.2009.09.005