Fig. 4: Testing the theoretical predictions.
From: Unconventional singularities and energy balance in frictional rupture
Comparison of the simulational results for \({{\Delta }}{{\mathcal{E}}}_{{\rm{BD}}}(X;{x}_{i})\) (solid lines, see legend), presented earlier in Fig. 3a, and the theoretical prediction \({{\Delta }}{{\mathcal{E}}}_{{\rm{BD}}}(X;{c}_{{\rm{r}}}({x}_{i}),L\ =\ {x}_{i},\ell ({x}_{i}))\) (dashed lines, see legend) obtained using Eq. (1) (see text for additional details), vs. [X − ℓ(xi)]/W for x1/W = 0.3 and x4/W = 0.6 (see legend). The values of ℓ(xi) are given in Fig. 3b. Note that the theoretical curves, by construction, extend up to X = xi (recall that ℓ(xi) ≪ xi) and that the simulational ones are limited by the fault/interface half-length W, the smaller xi the larger the maximal X.
