Figure 1

Crack growth along the inhomogeneous interface between two elastic plates loaded according to the geometry used in Ref. 12: sketch and notations.Reuse & Permissions

Figure 2

(a) Typical gray-scale map of the waiting-time matrix $w(x,y)$ obtained from the solution of Eq. (5) with $c_0=4000$ and $v_m=0.01$. (b) Spatial distribution of clusters corresponding to velocities $v(x,y)>C\overline{v}$, with $C=4$. The quantity $\overline{v}$ refers to the crack velocity averaged over both time and space within the steady regime. The cluster duration is given by the cluster color according to the color scale given in the inset. The distribution of the cluster area $A$, the scaling between the width $L_y$ and the length $L_x$ of clusters, the distribution of the cluster duration $D$, and the scaling between $D$ and $A$ are plotted in (c), (d), (e), and (f), respectively. The various symbols correspond to various values of $v_m$, $c_0$, and $C$ as specified in the inset in (e). The straight lines correspond to $P(A)\propto A^{-{\tau }_0}$, $L_y\propto L_x^H$, $P(D)\propto D^{-{\alpha }_{>}}$, and $D\propto A^{\gamma }$, with ${\tau }_0=-1.65$, $H=0.65\pm 0.05$, ${\alpha }_{>}=-2.1$, and $\gamma =0.4$.Reuse & Permissions

Figure 3

(a) Typical time evolution of the spatially averaged crack front velocity $v(t)=⟨v(t,x){⟩}_x$. The dashed-dotted horizontal line corresponds to $v_r=C_{\max }(v)$, with $C=0.1$ used to define the bursts. Distribution of the normalized burst duration $T$, normalized burst size $S$, and the scaling of $T$ with $S$ are plotted in (b), (c), and (d), respectively. The various symbols correspond to various values of $v_m$, $c_0$, and $C$ as specified in the inset in (b). In these three graphs, the straight lines correspond to $P(T)\propto T^{-\alpha }$, $P(S)\propto S^{-\tau }$, and $T\propto S^a$ with the critical exponents $\alpha =1.43$, $\tau =1.25$, and $a=0.58$ predicted by the FRG approach.Reuse & Permissions