IndisputableMonolith.Materials.FatigueFractureMechanicsFromJCost
This module instantiates the Canonical J-Cost Band template for fatigue and fracture mechanics in the Materials domain. Researchers applying Recognition Science to mechanical failure would cite it when building domain certificates. The structure follows the six-clause template to establish matched-zero and nonnegativity for J-cost on ratios in this setting.
claimThe module defines $FailureMode$ and certifies $FatigueFractureCert$ such that the J-cost satisfies $J(1)=0$ and $J(x)\geq 0$ for $x>0$ under the fatigue-fracture ratio template.
background
The module operates inside the Recognition Science master cert chain, importing CanonicalJBand to reuse its six-clause J-cost-on-ratio template. That template guarantees matched-zero at J(1)=0 and nonnegativity J(x)≥0 for x>0 across B-tier domain openings.
It introduces local definitions FailureMode, failureModeCount, FatigueFractureCert and fatigueFractureCert to encode mechanical failure modes via the J-cost framework derived from the unified forcing chain.
proof idea
This is a definition module that applies the CanonicalJBand template to the fatigue-fracture domain; no independent proofs appear in the module body.
why it matters in Recognition Science
The module supplies one of the Plan v7 domain certificates in the master cert chain. It extends the J-cost band to materials fatigue and fracture, feeding the B-tier whole-science openings that rely on the six-clause template.
scope and limits
- Does not compute numerical fatigue life predictions.
- Does not incorporate specific material microstructures.
- Does not address crack propagation rates beyond the J-cost band.
- Does not link to the phi-ladder mass formula.