L1 ⚛ L1-341 ⊙ Testnet

Additive Manufacturing (Selective Laser Melting) Thermal Model

Materials Science · Laser-powder-bed melt pool thermodynamics

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⬇ L1-341.md

# ⚛ L1 Principle — Additive Manufacturing (Selective Laser Melting) Thermal Model **ID:** `L1-341` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Materials Science — *Laser-powder-bed melt pool thermodynamics* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** melt pool thermal velocity > **📡 Carrier:** photon · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554130 --- ## 🧠 1. Introduction **Additive Manufacturing (Selective Laser Melting) Thermal Model** is a **nonlinear inverse problem** whose unknown lives in **melt pool thermal velocity** space, within the **Laser-powder-bed melt pool thermodynamics** sub-domain of **Materials Science**. Measurements consist of photons collected by an optical detector via a **laser powder bed thermal** sensing mechanism. The forward operator applies, in order: E · thermal operator; E · fluid operator; E · phase change operator; a fixed-point or gradient iteration on the unknown; O · melt pool operator. Observations are corrupted by additive Gaussian noise. Highly non-linear multiphysics; well-posed locally; inversion of (alpha, k_T) from thermal video is moderately ill-conditioned. ## ⚙ 2. Forward Model Physical chain: **x** → E · thermal → E · fluid → E · phase change → O · melt pool → **y** (detector). ``` y = `O.melt_pool` `E.phase_change` `E.fluid` `E.thermal` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `E.thermal` | E · thermal operator | | `E.fluid` | E · fluid operator | | `E.phase_change` | E · phase change operator | | `O.melt_pool` | O · melt pool operator | **🛠 Solver components** _(used inside the solver, not in the forward equation)_: | Primitive | What it does | |---|---| | `O.iter` | A fixed-point or gradient iteration on the unknown | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Materials Science | | Sub domain | Laser-powder-bed melt pool thermodynamics | | Carrier | photon | | Problem class | nonlinear_inverse | | Solution space | melt_pool_thermal_velocity | | Noise model | gaussian | | Integration axis | time_space | | Difficulty delta | 5 | | L dag | 3.9 | ## 📡 4. Measurement Model Highly non-linear multiphysics; well-posed locally; inversion of (alpha, k_T) from thermal video is moderately ill-conditioned. | Metric | Value | |---|---| | Metric | melt_pool_depth_relative_error | | Secondary | peak_T_error_K | ## 📏 5. Operating Range (Ω) **Center problem class:** `additive_manufacturing` · **Forward operator:** `AM_thermal_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | P w | — | 200 | | V mm s | s | 800 | | Hatch um | µm | 100 | | Layer um | µm | 30 | | Material | — | Ti6Al4V | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | P w | — | 50 – 2000 | | V mm s | s | 50 – 5000 | | Hatch um | µm | 30 – 300 | | Layer um | µm | 10 – 100 | ## 🎯 6. Tolerance (ε) **Center tolerance:** melt-pool depth rel error <= 0.06 | Metric | Range | |---|---| | Melt pool depth relative error | 0.02 – 0.5 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **melt_pool_depth_relative_error**, with κ = `900` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x8d070d81fee915beb20cd54ccc595e5001048ff10e1949cfea72d30e6a9d69d5` - **Chain tx hash:** `0x1e0cedbc313ead1259c262b3755778a5aeabdee043dbd863676b1af3efc15458` - **Chain block:** `41554130` --- ## File Mapping This bundle consists of: `L1-341.md`, `L1-341.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-341.md` | Source of truth — edit this | Human or LLM | | `L1-341.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 `L1-341`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-341.md).
Regenerate L1-341.json so every field matches the Markdown.
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L2-341-001 Additive Manufacturing (Selective Laser Melting) Thermal Model Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-341",
  "chain_block": 41554130,
  "chain_hash": "0x8d070d81fee915beb20cd54ccc595e5001048ff10e1949cfea72d30e6a9d69d5",
  "chain_tx_hash": "0x1e0cedbc313ead1259c262b3755778a5aeabdee043dbd863676b1af3efc15458",
  "domain": "Materials Science",
  "hardness_fn": {
    "delta": 5,
    "kappa": 900,
    "metric": "melt_pool_depth_relative_error",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "melt_pool_depth_relative_error",
    "regime": "Highly non-linear multiphysics; well-posed locally; inversion of (alpha, k_T) from thermal video is moderately ill-conditioned.",
    "secondary": "peak_T_error_K"
  },
  "physics_fingerprint": {
    "L_DAG": 3.9,
    "carrier": "photon",
    "difficulty_delta": 5,
    "domain": "Materials Science",
    "integration_axis": "time_space",
    "noise_model": "gaussian",
    "primitives": [
      "E.thermal",
      "E.fluid",
      "E.phase_change",
      "O.iter",
      "O.melt_pool"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "laser_powder_bed_thermal",
    "solution_space": "melt_pool_thermal_velocity",
    "sub_domain": "Laser-powder-bed melt pool thermodynamics",
    "title": "Additive Manufacturing (Selective Laser Melting) Thermal Model"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "AM_thermal_forward"
    ],
    "allowed_omega_dimensions": [
      "P_W",
      "v_mm_s",
      "layer_um",
      "hatch_um",
      "material"
    ],
    "allowed_problem_classes": [
      "additive_manufacturing"
    ],
    "center_spec": {
      "epsilon_fn_center": "melt-pool depth rel error \u003c= 0.06",
      "forward_operator": "AM_thermal_forward",
      "input_format": "measurement_only",
      "omega": {
        "P_W": 200,
        "hatch_um": 100,
        "layer_um": 30,
        "material": "Ti6Al4V",
        "v_mm_s": 800
      },
      "problem_class": "additive_manufacturing"
    },
    "epsilon_bounds": {
      "melt_pool_depth_relative_error": [
        0.02,
        0.5
      ]
    },
    "omega_bounds": {
      "P_W": [
        50,
        2000
      ],
      "hatch_um": [
        30,
        300
      ],
      "layer_um": [
        10,
        100
      ],
      "v_mm_s": [
        50,
        5000
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Laser-powder-bed melt pool thermodynamics",
  "title": "Additive Manufacturing (Selective Laser Melting) Thermal Model"
}

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