L1 ⚛ L1-217 ⊙ Testnet

Crystal Plasticity — slip-system resolved plasticity

Structural Mechanics · Dislocation slip-system crystal plasticity FE

⬇ Download bundle 🚀 Submit to mainnet — earn 100 PWM + 5% royalty

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-217.md

# ⚛ L1 Principle — Crystal Plasticity — slip-system resolved plasticity **ID:** `L1-217` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Structural Mechanics — *Dislocation slip-system crystal plasticity FE* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** grain scale stress strain > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 10 · **⛓ Block:** 41554011 --- ## 🧠 1. Introduction **Crystal Plasticity — slip-system resolved plasticity** is a **nonlinear inverse problem** whose unknown lives in **grain scale stress strain** space, within the **Dislocation slip-system crystal plasticity FE** sub-domain of **Structural Mechanics**. Measurements consist of mechanical vibrations or strain signals via a **ebsd dic** sensing mechanism. The forward operator applies, in order: L · slip systems operator; L · rate dependent operator; L · grain assembly operator; pixel-level spatial averaging on the detector. Observations are corrupted by additive Gaussian noise. Stiff, nonlinear; texture-dependent; expensive at sub-grain resolution. ## ⚙ 2. Forward Model Physical chain: **x** → L · slip systems → L · rate dependent → L · grain assembly → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.grain_assembly` `L.rate_dependent` `L.slip_systems` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.slip_systems` | L · slip systems operator | | `L.rate_dependent` | L · rate dependent operator | | `L.grain_assembly` | L · grain assembly operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Structural Mechanics | | Sub domain | Dislocation slip-system crystal plasticity FE | | Carrier | mechanical | | Problem class | nonlinear_inverse | | Solution space | grain_scale_stress_strain | | Noise model | gaussian | | Integration axis | spatial | | Difficulty delta | 10 | | L dag | 3.8 | ## 📡 4. Measurement Model Stiff, nonlinear; texture-dependent; expensive at sub-grain resolution. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `crystal_plasticity` · **Forward operator:** `crystal_plasticity_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N dof | — | 100000 | | Snr db | dB | 25 | | N grains | — | 100 | | N slipsys | — | 12 | | Tau 0 error | — | 0 | | Texture error | — | 0 | | H hardening error | — | 0 | | Grain boundary error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N dof | — | 1000 – 10000000 | | Snr db | dB | 0 – 40 | | N grains | — | 1 – 10000 | | N slipsys | — | 3 – 48 | | Tau 0 error | — | 0.0 – 0.1 | | Texture error | — | 0.0 – 0.3 | | H hardening error | — | 0.0 – 0.2 | | Grain boundary error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 18.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `1000` and δ = `10`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x3467af012ebed5859c268511f2efbe624f08056b131942fbb0024d7dfd66204b` - **Chain tx hash:** `0xf31247b08a8d80789daf0a9cf3e343ea6850db65b3e4e4b9cdb1d31ecdb80afe` - **Chain block:** `41554011` --- ## File Mapping This bundle consists of: `L1-217.md`, `L1-217.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-217.md` | Source of truth — edit this | Human or LLM | | `L1-217.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 `L1-217`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

📝 Polish this artifact in your LLM

Download the files on the right.
Paste the Markdown into ChatGPT / Claude / Gemini and edit freely.
Send your edited Markdown back with the prompt below.
Save the regenerated JSON, then submit via /submit.

Prompt to give your LLM

Read the attached Markdown (L1-217.md).
Regenerate L1-217.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

⌥ Hierarchy

Upstream lineage and downstream children

↓ L2 Spec 1 child ▾

L2-217-001 Crystal Plasticity — slip-system resolved plasticity Mismatch-Only Spec

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L1-217",
  "chain_block": 41554011,
  "chain_hash": "0x3467af012ebed5859c268511f2efbe624f08056b131942fbb0024d7dfd66204b",
  "chain_tx_hash": "0xf31247b08a8d80789daf0a9cf3e343ea6850db65b3e4e4b9cdb1d31ecdb80afe",
  "domain": "Structural Mechanics",
  "hardness_fn": {
    "delta": 10,
    "kappa": 1000,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Stiff, nonlinear; texture-dependent; expensive at sub-grain resolution.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.8,
    "carrier": "mechanical",
    "difficulty_delta": 10,
    "domain": "Structural Mechanics",
    "integration_axis": "spatial",
    "noise_model": "gaussian",
    "primitives": [
      "L.slip_systems",
      "L.rate_dependent",
      "L.grain_assembly",
      "int.spatial"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "ebsd_dic",
    "solution_space": "grain_scale_stress_strain",
    "sub_domain": "Dislocation slip-system crystal plasticity FE",
    "title": "Crystal Plasticity \u2014 slip-system resolved plasticity"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "crystal_plasticity_forward"
    ],
    "allowed_omega_dimensions": [
      "N_DOF",
      "N_grains",
      "N_slipsys",
      "SNR_dB",
      "tau_0_error",
      "h_hardening_error",
      "texture_error",
      "grain_boundary_error",
      "tau_0_error",
      "h_hardening_error",
      "texture_error",
      "grain_boundary_error"
    ],
    "allowed_problem_classes": [
      "crystal_plasticity"
    ],
    "center_spec": {
      "epsilon_fn_center": "18.0",
      "forward_operator": "crystal_plasticity_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_DOF": 100000,
        "N_grains": 100,
        "N_slipsys": 12,
        "SNR_dB": 25,
        "grain_boundary_error": 0.0,
        "h_hardening_error": 0.0,
        "tau_0_error": 0.0,
        "texture_error": 0.0
      },
      "problem_class": "crystal_plasticity"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_DOF": [
        1000,
        10000000
      ],
      "N_grains": [
        1,
        10000
      ],
      "N_slipsys": [
        3,
        48
      ],
      "SNR_dB": [
        0,
        40
      ],
      "grain_boundary_error": [
        0.0,
        0.3
      ],
      "h_hardening_error": [
        0.0,
        0.2
      ],
      "tau_0_error": [
        0.0,
        0.1
      ],
      "texture_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Dislocation slip-system crystal plasticity FE",
  "title": "Crystal Plasticity \u2014 slip-system resolved plasticity"
}

🎁

Earn PWM by promoting this to mainnet

• 100 PWM one-time grant on mainnet promotion
• 5% upstream royalty on every downstream L4 mining event, forever
• Your wallet is enrolled the moment the founder accepts

🚀 Submit to mainnet →

How: Download the bundle above → polish the Markdown in ChatGPT / Claude / Gemini → submit your version → founder reviews → mainnet.