{
  "project": "FESA",
  "phase": "fem-and-beam-kernel",
  "steps": [
    {
      "step": 0,
      "name": "quadrature-and-shape-functions",
      "status": "completed",
      "summary": "Added fixed 1D Gauss rules, Line2 shape primitives, and a validated length/2 Jacobian with invariant and invalid-input tests.",
      "started_at": "2026-07-31T01:37:23+0900",
      "completed_at": "2026-07-31T01:48:32+0900"
    },
    {
      "step": 1,
      "name": "dof-manager",
      "status": "completed",
      "summary": "Added deterministic six-DOF equation numbering, prescribed-value reconstruction, and 12-DOF Beam element mapping with validation tests.",
      "started_at": "2026-07-31T01:48:33+0900",
      "completed_at": "2026-07-31T01:55:21+0900"
    },
    {
      "step": 2,
      "name": "beam-local-frame",
      "status": "completed",
      "summary": "Added scale-aware right-handed Beam frames and fixed 12x12 global-to-local transformations with degeneracy, orthonormality, rotation, and energy-invariance tests.",
      "started_at": "2026-07-31T01:55:21+0900",
      "completed_at": "2026-07-31T02:08:27+0900"
    },
    {
      "step": 3,
      "name": "timoshenko-stiffness-kernel",
      "status": "completed",
      "summary": "Documented and implemented selectively integrated Beam3D2 local/global stiffness with rigid-body, analytical, slenderness, and rotation-invariance tests.",
      "started_at": "2026-07-31T02:08:27+0900",
      "completed_at": "2026-07-31T02:24:47+0900"
    }
  ],
  "created_at": "2026-07-31T01:37:23+0900",
  "completed_at": "2026-07-31T02:24:48+0900"
}