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OneCAD-Simulation/tests/oracle/tie-patch/README.md
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jyvikoandClaude Opus 5.5 2b1c52d021 verification: the tie patch test
An oracle case of uniaxial tension across a tie of non-matching meshes; the tie formulation
in docs/fem.md and the literature survey; ROADMAP M7 and parity updated.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
2026-10-14 15:28:02 -04:00

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# Tie patch test (non-matching meshes)
Two unit cubes stacked along z, meshed independently: 3 × 3 × 2 hex8 below (graded in x and y),
2 × 2 × 2 above, so the nodes at z = 1 do not match. A tie bonds the upper block's bottom
(secondary) to the lower block's top (main). The faces x = 0 and y = 0 are symmetry planes, the
base z = 0 is held in z, and the top z = 2 is pulled up by 0.02 (E = 1000, ν = 0.3) in a linear
static step. The exact state is the uniaxial stress σ_zz = 10, uniform in both blocks.