Crack Tip Fracture Simulator
Watch NNC approach the 1/sqrt(r) stress singularity while classical stalls
Live
Measured in Browser
1/sqrt(r)
Singularity Type
k = -0.5
Optimal NNC Parameter
None
Speedup Claim
Loading Fracture Simulator...
The Physics
In fracture mechanics, the stress field near a crack tip follows:
As distance r approaches 0, stress approaches infinity. This is the famous stress singularity that makes crack simulation challenging.
The NNC Solution
With the k=-0.5 demo mode, the log-bigeometric diagnostic is bounded:
L_BG[1/sqrt(r)] = -1/2; D_BG = e^-1/2 (bounded diagnostic)
The original stress field remains singular; the demo uses the bounded diagnostic and a smooth cap to keep the browser simulation stable near the crack tip.
Why This Matters
Engineering Applications
Predicting when cracks will propagate is critical for aircraft, bridges, pressure vessels, and nuclear containment. Current methods waste 90%+ of compute time near crack tips.
Real-Time Simulation
This browser demo reports live timestep, stall, and distance metrics. It does not use the separate CASCADE benchmark as a speedup claim.
Browser Proof
This simulation runs entirely in your browser and exposes the measured finite/stalled state directly rather than relying on offline banner numbers.
Related CASCADE Results
This demo is inspired by the pyfrac_crack_tip case from the CASCADE validation table. The live browser panel above is a separate stability visualization, not a reproduction of that offline benchmark.See full results →