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The blocking property in the study of the Bingham fluid. (English) Zbl 0575.76011

We consider a stationary boundary value problem for the Bingham fluid with friction. This mechanical problem leads to an abstract class of variational inequalities for which we study the blocking property. In this way we can find the link between the yield limit, the friction coefficient and the external forces for which the Bingham fluid is blocked.

MSC:

76A05 Non-Newtonian fluids
49S05 Variational principles of physics
74C99 Plastic materials, materials of stress-rate and internal-variable type
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