Fig. 3

Disorder distribution for local fracture tendency and spatial profiles: The progression of the disorder ratio, R_G, for W = 0.125 mm with a system size of L_x = 8 μm, L_y = 0.5 mm, and L_z = 1.0 mm where (a) has a disorder ratio of 0.1, (b) has a disorder ratio of 0.2, (c) has a disorder ratio of 0.4, (d) has a disorder ratio of 0.8, (e) and (f) are the probability density function (pdf) and cumulative distribution function (cdf), respectively, of the fluctuating phase field energy parameter of each node vs. the phase field energy parameter, and (g) is the autocorrelation lengthscale of the W-M function. The saturation of the autocorrelation function may be thought as the disorder correlation length (Alava et al. 2009)