Fig. 29: L2-error of displacements (top) and the ratio of the analytical to the numerical obtained crack surface Γ/Γh l (bottom) for different l/h-ratios with l = 0.01 mm
 
The L^2 -error (Eq. 63) of the numerically obtained displacements u^h in comparison to the expected displacement solution is plotted over different l/h for a standard phase-field simulation and a extended phase-field simulation. (top)

Furthermore, the ratio Γ/Γ^h_l of the expected crack surface and the numerically obtained crack surface is plotted over different l/h for a standard phase-field simulation and a extended phase-field simulation. (bottom)

The simulation setup is given in Fig. 26, the position of the crack yc is enforced with a penalty formulation. The crack has a inclination of 11,3°. The prescribed displacement is given to be  ūy = 5 · 10^−5 mm.

Furthermore, the parameters kφ = 5 · 10^−3 and k reg = 4 · 10^−7 are applied.

for each file -> Columns
1: l/h
2: L2-error of displacements (first two files) and ratio of the analytical to the numerical obtained crack surface Γ/Γh (last two files

file fig_29_data_1.csv: PFM
file fig_29_data_2.csv: XPFM

file fig_29_data_3.csv: PFM
file fig_29_data_4.csv: XPFM


