Figure 3: Transition to chaos at yield.
(a) Stress–strain curve under linear shear (green line). The yellow line marks the transition to chaos and the red points show the number of cycles to reach a limit cycle under oscillatory shear. (b) Three different potential energy time series for three different maximal strain amplitudes growing from top to bottom. The red lines mark the onset of repetitive behaviour (limit cycle). (c) Typical behaviour of the potential energy per particle of an amorphous solid under quasi-static oscillatory shear. Large drops in the energy are separated by elastic regimes. The large drops correspond to rearrangements of particles. (d) Accumulated strain to reach a limit cycle as a function of the maximal strain amplitude minus the critical strain amplitude Γc=0.11.
