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breakdown parameter. In Figure 3, we present the two-dimensional FEM Houška’s microstruc- ture’s profiles at the channel center for different values of breakdown parameter Mb.
Figure 3: Fully developed channel [...] u−∇ ·
( 2µ(DII,r, λ)D(u)
) +∇p = fu,
∇ · u = 0,( ∂
∂t + u · ∇
) λ−F(DII,r, λ) + G(DII,r, λ) = fλ,
(3)
in Ω, with external forces fu, and fλ. The boundary ∂Ω might have an inflow Γ−, outflow section Γ+ [...] velocity, pressure, and microstruc- ture, respectively. The full set of thixoviscoplastic of equations (3) constitute of incompressible viscoplastic equations supplemented with the evolution equation which …