12.07.2015 Views

Untitled - Technische Universiteit Eindhoven

Untitled - Technische Universiteit Eindhoven

Untitled - Technische Universiteit Eindhoven

SHOW MORE
SHOW LESS
  • No tags were found...

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Effect of slip on bending experiment 1511.0210.98normalized load0.960.940.920.9λ = 10 −4λ = 10 −3λ = 10 −2λ = 10 −1λ = 10 0λ = 10 1λ = 10 210 −2 10 −1 10 0 10 1 10 2 10 3 10 4 10 5 10 6time [s]Fig. C.1: Calculated load curves for an elastic porous plate, with a permeability of 10 nm 2 ,an elastic modulus of 10 GPa and filled with glycerol. The hydrodynamic relaxationtime τ R is equal to 159 s and A = 0.042. The deflection decays exponentially with arelaxation time τ S equal to λτ R and h = A. The ratio λ was varied and is indicatedin the legend.10 nm 2 and an elastic modulus of 10 GPa. The resulting curves are shown in Figure C.1.The amount of hydrodynamic relaxation A is equal to 0.042 and h = A. We note that therelaxation data for the gel-filled stones imply that h is larger (up to 0.3) in some cases.The relaxation time τ R equals 159 s. When τ S ≫ τ R the second inflection due to slippingis well separated from the primary inflection. In case τ S ≪ τ R the primary inflectionin the load curve is brought about by the effect of slip and the second inflection is dueto hydrodynamic relaxation. When τ S ≈ 0.1 × τ R the effects cannot be distinguished,nevertheless the time at which the inflection is found is still close to 0.2 × τ R .

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!