Fig. 30: L2-error of the displacements for varying kreg within the XPFM
 
The L^2 -error (Eq. 63) of the numerically obtained displacements u^h in comparison to the expected displacement solution is plotted over different kreg for a standard phase-field simulation and a extended phase-field simulation.

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 parameter kφ = 5 · 10^−3 is applied.


for each file -> Columns
1: kreg
2: L2-error of the displacements




