a unified critical state μ(I) elastoplastic damage constitutive model

This data demonstrates the integration of critical-state elastoplasticity, rate-dependent μ(I) rheology, and cohesive damage laws driven by plastic strain into a unified constitutive model for studying the dynamic flow states of avalanches. The model is implemented in MPM to capture large deformations and evolving free surfaces. First, the model's performance is validated by comparisons with analytical solutions of stable homogeneous particle flows on inclined planes and baseline experimental results of particle column collapse. The data also includes idealized avalanche benchmark cases, reproducing cold-dense, warm-shear, warm-plug, and sliding-slab avalanche modes. It also shows how different damage evolution paths control the transition from sliding-plate avalanches to cold-dense or warm-shear avalanches. The included data provide ample evidence for the unified constitutive model's simulation of avalanches.