L1 ⚛ L1-219 ⊙ Testnet

Creep Mechanics — high-temperature rate-dependent

Structural Mechanics · Secondary/tertiary creep (Norton / Kachanov)

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⬇ L1-219.md

# ⚛ L1 Principle — Creep Mechanics — high-temperature rate-dependent **ID:** `L1-219` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Structural Mechanics — *Secondary/tertiary creep (Norton / Kachanov)* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** creep rate field > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554011 --- ## 🧠 1. Introduction **Creep Mechanics — high-temperature rate-dependent** is a **nonlinear inverse problem** whose unknown lives in **creep rate field** space, within the **Secondary/tertiary creep (Norton / Kachanov)** sub-domain of **Structural Mechanics**. Measurements consist of mechanical vibrations or strain signals via a **extensometer dic** sensing mechanism. The forward operator applies, in order: L · norton law operator; L · damage evolution operator; L · time integration 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 · norton law → L · damage evolution → L · time integration → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.time_integration` `L.damage_evolution` `L.norton_law` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.norton_law` | L · norton law operator | | `L.damage_evolution` | L · damage evolution operator | | `L.time_integration` | L · time integration operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Structural Mechanics | | Sub domain | Secondary/tertiary creep (Norton / Kachanov) | | Carrier | mechanical | | Problem class | nonlinear_inverse | | Solution space | creep_rate_field | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.3 | ## 📡 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:** `creep` · **Forward operator:** `creep_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | T k | — | 873 | | N dof | — | 10000 | | Snr db | dB | 30 | | A error | — | 0 | | N times | — | 500 | | Q error | — | 0 | | N error | — | 0 | | Damage param error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | T k | — | 273 – 2000 | | N dof | — | 100 – 1000000 | | Snr db | dB | 0 – 40 | | A error | — | 0.0 – 0.2 | | N times | — | 10 – 100000 | | Q error | — | 0.0 – 0.1 | | N error | — | 0.0 – 0.1 | | Damage param error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 20.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `400` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xffe5847e1b935197570988958a615aad35b51caa9518573ba334cdd5f1cb69ff` - **Chain tx hash:** `0xbf9fc75c8cdf439d4fb6dfa566fbbd17916904e9edea708756bd00dc03ea1d2b` - **Chain block:** `41554011` --- ## File Mapping This bundle consists of: `L1-219.md`, `L1-219.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-219.md` | Source of truth — edit this | Human or LLM | | `L1-219.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 `L1-219`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-219.md).
Regenerate L1-219.json so every field matches the Markdown.
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L2-219-001 Creep Mechanics — high-temperature rate-dependent Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-219",
  "chain_block": 41554011,
  "chain_hash": "0xffe5847e1b935197570988958a615aad35b51caa9518573ba334cdd5f1cb69ff",
  "chain_tx_hash": "0xbf9fc75c8cdf439d4fb6dfa566fbbd17916904e9edea708756bd00dc03ea1d2b",
  "domain": "Structural Mechanics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 400,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.3,
    "carrier": "mechanical",
    "difficulty_delta": 5,
    "domain": "Structural Mechanics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.norton_law",
      "L.damage_evolution",
      "L.time_integration",
      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "extensometer_dic",
    "solution_space": "creep_rate_field",
    "sub_domain": "Secondary/tertiary creep (Norton / Kachanov)",
    "title": "Creep Mechanics \u2014 high-temperature rate-dependent"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "creep_forward"
    ],
    "allowed_omega_dimensions": [
      "N_DOF",
      "N_times",
      "T_K",
      "SNR_dB",
      "A_error",
      "n_error",
      "Q_error",
      "damage_param_error",
      "A_error",
      "n_error",
      "Q_error",
      "damage_param_error"
    ],
    "allowed_problem_classes": [
      "creep"
    ],
    "center_spec": {
      "epsilon_fn_center": "20.0",
      "forward_operator": "creep_forward",
      "input_format": "measurement_only",
      "omega": {
        "A_error": 0.0,
        "N_DOF": 10000,
        "N_times": 500,
        "Q_error": 0.0,
        "SNR_dB": 30,
        "T_K": 873,
        "damage_param_error": 0.0,
        "n_error": 0.0
      },
      "problem_class": "creep"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "A_error": [
        0.0,
        0.2
      ],
      "N_DOF": [
        100,
        1000000
      ],
      "N_times": [
        10,
        100000
      ],
      "Q_error": [
        0.0,
        0.1
      ],
      "SNR_dB": [
        0,
        40
      ],
      "T_K": [
        273,
        2000
      ],
      "damage_param_error": [
        0.0,
        0.3
      ],
      "n_error": [
        0.0,
        0.1
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Secondary/tertiary creep (Norton / Kachanov)",
  "title": "Creep Mechanics \u2014 high-temperature rate-dependent"
}

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