Fig. 1. Reversibility, partial irreversiblity, and irreversiblity of the HS glass under simple shear.

Here, we display typical behaviors of a glass sample obtained by annealing up to ϕ_g = 0.655. (A) Single-realization stress-strain curve of a glass at the fixed volume strain ϵ = −0.0069 (ϕ = 0.66). The shear strain is reversed at γ = 0.06 (green), 0.14 (red), and 0.2 (black). The smooth and jerky regimes are separated by γ_G ~ 0.09. The yielding strain γ_Y ~ 0.144 is also indicated. (B) Corresponding plot of the relative mean squared displacement Δ_r as a function of γ. (C) Schematic illustration of the free-energy glass basin under shear. (D to F) The same as (A) to (C) but at volume strain ϵ = −0.029 (ϕ = 0.675) for which γ_G ~ 0.073 and γ_J ~ 0.14. In the inset in (D), five different realizations for the same sample are plotted, showing that plastic avalanches only occur above γ_G. See fig. S1 for the case ϵ = 0.057 (ϕ = 0.62) for which the system does not go through the partially irreversible regime under shear up to the yielding. The three cases (ϵ = −0.0069, −0.029, 0.057) are indicated by black arrows in the stability-reversibility map in Fig. 2.