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jyvikoandClaude Opus 5.5 9469ac0853 Tet mesh quality: one validity criterion, Delaunay refinement, ODT, Klingner–Shewchuk, tet10
The end-to-end demo met a raw-CDT sliver that the validity gate accepted (exactly positive) and
the solver refused. Now:

- One validity criterion, `fieldcraft_model::admissible_jacobian` (normalized Jacobian above
  1e-12), used by the implicit solver (fem `positive_inverse`), the explicit tet4/hex8
  kinematics and the mesh gate, which proves it on the whole element (tet4: the solvers' own
  Jacobian; curved kinds: a Bernstein floor), so whatever passes the gate passes the solvers.
- CDT rounding repaired by flips on the rounded mesh (Diazzi et al. 2023 §5.1) instead of the
  ±2-ulp nudge.
- `fieldcraft-mesh::tet`: a mutable tetrahedral complex whose every change is a checked
  replacement (positive and admissible tetrahedra, faces matched with opposite orientation) with
  an exact undo log; edge removal (Klincsek), multi-face removal, Delaunay insertion with
  boundary faces, edge collapse; a curvature- and thickness-graded size field; constrained
  Delaunay refinement with encroachment splits; ODT smoothing; the Klingner–Shewchuk schedule;
  boundary vertices moved onto the exact B-rep surfaces at the end; tet10 with mid-edge nodes on
  the geometry.
- `mesh.tet.generate` gains size, order, quality, quality_target, curvature_angle, grading,
  max_passes, max_points and reports the CDT's and the mesh's quality; `solve.probe` takes a set
  and reports its largest von Mises stress.
- Oracle cases filleted-bracket-fillet-stress(-coarse): the fillet's peak von Mises stress on
  tet10 meshes of 2k and 13.5k elements, 213.3 MPa (a four-level study stays within 1.8%); the
  CDT cases keep the raw tetrahedralization.
- Corpus quality columns: all 20 valid parts mesh and pass the gate.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
2026-10-14 08:28:49 -04:00

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Filleted L-bracket: peak stress on the fillet (fine mesh)

The corpus part filleted-bracket (an 8 mm L-bracket with an R6 inside fillet and a hole through each leg), built with SolidCraft from design.json. The foot face F2:side:l1 is clamped and a 2 kN load in +x acts on the top face F2:side:l5 (steel, E = 210 GPa, ν = 0.3). The leg bends about its root, where the fillet concentrates the stress; beam theory gives about 197 MPa nominal at the root (6FL/(bt²) with L = 42 mm, b = 40 mm, t = 8 mm).

mesh.tet.generate makes a quality tet10 mesh (size 5.66 mm, 31.8° per element along curved faces), with the boundary and mid-edge nodes on the exact fillet cylinder. The peak nodal von Mises stress on the fillet over a four-level study (sizes 16, 11.3, 8, 5.66 mm with 90°, 64°, 45°, 32°): 213.3, 210.6, 214.3, 213.3 MPa. The coarse and the fine level are the two cases.