Snow Slab Anticrack Energy-Balance Solver

Instead of plugging your slope angle, slab thickness and weak-layer fracture energy into a single closed-form critical-length formula, this 2D cross-section actually solves the Euler-Bernoulli beam-on-elastic-foundation equation for the slab's bending over the buried weak layer, using a direct finite-difference linear solve. The energy stored in that real deflection field — bending energy plus foundation energy, minus the work done by gravity — gives an energy release rate G(a) that is recomputed from scratch every time you move a slider. The crack grows only while G(a) exceeds the weak layer's fracture energy, and because G(a) keeps rising as the crack lengthens, propagation is self-accelerating once critical, capped at a physically grounded fraction of the slab's own elastic wave speed — exactly the instability that makes real slab avalanches so abrupt once they start.