Linear Elasticity — Navier-Cauchy 3D solid mechanics L1-207

Structural MechanicsInfinitesimal-strain 3D linear elasticityδ=3 · standardL_DAG = 3📋 Stub — not mineable

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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.

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Forward model E

(λ + m u) g r a d (d i v u) + m uL a pl a c ian u + f = 0; σ = C : e p s (u)

Linear Elasticity — Navier-Cauchy 3D solid mechanics forward model.

L-DAG

L.fem_assemble -> L.constitutive -> L.solve -> int.spatial

L.fem_assembleL.constitutiveL.solveint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 240

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: FEM-Abaqus, FEM-Calculix, PINN-elastic
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.