Phase-Field Fracture — regularized crack model L1-223

Structural MechanicsVariational phase-field (AT1/AT2) fractureδ=5 · challengingL_DAG = 3.5📋 Stub — not mineable

📋

Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

Read the contribution guide →Open a claim issue →

Forward model E

minin t [g (p hi) p s i (e p s) + G_{c} (p h i^{2} / (4 e l l) + e l l ∣ g r a d p hi ∣^{2})] d V

Phase-Field Fracture — regularized crack model forward model.

L-DAG

L.psi_split -> L.phase_field_evolve -> L.coupled_solve -> int.spatial

L.psi_splitL.phase_field_evolveL.coupled_solveint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 500

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: AT1-staggered, AT2-monolithic, PhaseField-NN
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.