Fig. 1.
Macroscopic limit of sound velocities and width of the distributions of local elastic moduli. (A) λ dependence of the longitudinal (L) and transverse (T1 and T2) macroscopic sound velocities in the (110) direction. These data have been calculated from the effective elastic moduli K + Gp/3 + Gs, Gs, and Gp, respectively. Here K, Gp, and Gs are the bulk, pure shear, and simple shear moduli, respectively. The vertical dashed line indicates the transition point λ = λ* ≃ 0.81. (B) λ dependence of the elastic heterogeneities, δM, associated to K, Gs, and Gp. These data are the SDs of the distribution of the local elastic moduli for a coarse-graining length scale w = 3.16 (20).