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Hertzian Contact — elastic sphere/cylinder contact L1-225
Structural MechanicsClassical Hertz elastic contactδ=3 · standardL_DAG = 2.8📋 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.
Forward model E
p(r) = p_0 \cdot \sqrt{1 - r^2/a^2); a = ((3FR)/(4E\cdot ))^(1/3)Hertzian Contact — elastic sphere/cylinder contact forward model.
L-DAG
L.hertz_theory -> L.contact_pressure -> L.elastic_deformation -> int.spatial
L.hertz_theoryL.contact_pressureL.elastic_deformationint.spatial
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 200
Conditional stability; mismatch parameters dominate at Omega bounds.
Solvability C
- Solver class:
- Hertz-closed-form, FEM-contact, Contact-NN
- Convergence rate q:
- 2
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.