L1 ⚛ L1-221 ⊙ Testnet

Cohesive Zone Model — traction-separation interface

Structural Mechanics · CZM interface fracture

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⬇ L1-221.md

# ⚛ L1 Principle — Cohesive Zone Model — traction-separation interface **ID:** `L1-221` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Structural Mechanics — *CZM interface fracture* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** cohesive law params > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554012 --- ## 🧠 1. Introduction **Cohesive Zone Model — traction-separation interface** is a **nonlinear inverse problem** whose unknown lives in **cohesive law params** space, within the **CZM interface fracture** sub-domain of **Structural Mechanics**. Measurements consist of mechanical vibrations or strain signals via a **dic acoustic emission** sensing mechanism. The forward operator applies, in order: L · traction separation operator; L · damage init operator; L · soft unload operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · traction separation → L · damage init → L · soft unload → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.soft_unload` `L.damage_init` `L.traction_separation` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.traction_separation` | L · traction separation operator | | `L.damage_init` | L · damage init operator | | `L.soft_unload` | L · soft unload operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Structural Mechanics | | Sub domain | CZM interface fracture | | Carrier | mechanical | | Problem class | nonlinear_inverse | | Solution space | cohesive_law_params | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.2 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `czm` · **Forward operator:** `czm_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N dof | — | 10000 | | N inc | — | 200 | | Snr db | dB | 30 | | G c error | — | 0 | | Delta 0 error | — | 0 | | Sigma max error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N dof | — | 100 – 1000000 | | N inc | — | 10 – 10000 | | Snr db | dB | 0 – 40 | | G c error | — | 0.0 – 0.2 | | Delta 0 error | — | 0.0 – 0.2 | | Sigma max error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 21.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `300` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x4e27a744268af6d058e0d2a1a045fcbc9fc6301c06338e25be67cf7c498ee8e5` - **Chain tx hash:** `0x979c658f6330d2163db5115dba9a3d42af5c8dfc2ff01b8ac7ecbe0a91c6adab` - **Chain block:** `41554012` --- ## File Mapping This bundle consists of: `L1-221.md`, `L1-221.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-221.md` | Source of truth — edit this | Human or LLM | | `L1-221.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-221`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-221.md).
Regenerate L1-221.json so every field matches the Markdown.
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Output each file in its own fenced code block tagged with the filename.

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L2-221-001 Cohesive Zone Model — traction-separation interface Mismatch-Only Spec

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📋 JSON metadata

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  "artifact_id": "L1-221",
  "chain_block": 41554012,
  "chain_hash": "0x4e27a744268af6d058e0d2a1a045fcbc9fc6301c06338e25be67cf7c498ee8e5",
  "chain_tx_hash": "0x979c658f6330d2163db5115dba9a3d42af5c8dfc2ff01b8ac7ecbe0a91c6adab",
  "domain": "Structural Mechanics",
  "hardness_fn": {
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    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
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  "physics_fingerprint": {
    "L_DAG": 3.2,
    "carrier": "mechanical",
    "difficulty_delta": 5,
    "domain": "Structural Mechanics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
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      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "dic_acoustic_emission",
    "solution_space": "cohesive_law_params",
    "sub_domain": "CZM interface fracture",
    "title": "Cohesive Zone Model \u2014 traction-separation interface"
  },
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      "input_format": "measurement_only",
      "omega": {
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        "N_inc": 200,
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    "epsilon_bounds": {
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    "omega_bounds": {
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      "N_DOF": [
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      "SNR_dB": [
        0,
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      ],
      "delta_0_error": [
        0.0,
        0.2
      ],
      "sigma_max_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "CZM interface fracture",
  "title": "Cohesive Zone Model \u2014 traction-separation interface"
}

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