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OneCAD-Simulation/tests/oracle/plastic-hinge-cantilever/recipe.json
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jyvikoandClaude Opus 5.5 7a69fe5e2f verification: implicit plasticity oracle cases and documentation
Four cases, each against its closed form: uniaxial tension of a J2 cube to a
logarithmic strain of 0.2 (Kirchhoff stress exact; 0.13 % from the explicit
solver's hypoelastic Cauchy stress, the elastic volume change between the two
laws), the Bauschinger effect of linear kinematic hardening on a load path
back to zero strain (exact), Hill's elastic-perfectly plastic thick cylinder
(bore displacement at a plastic radius of 1.5a within 0.009 %, collapse
pressure within 2e-8; the pending case is now active) and a cantilever's
plastic collapse, converged 3.1 % above beam theory's hinge, the bound a
continuum exceeds. docs/fem.md, the literature, ROADMAP (M15), parity and the
oracle page follow.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
2026-10-14 06:03:36 -04:00

18 lines
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JSON

[
{"command": "mesh.block", "params": {"body": "Beam", "kind": "hex20", "corners": [[0, 0, -5.0], [200.0, 0, -5.0], [200.0, 10.0, -5.0], [0, 10.0, -5.0], [0, 0, 5.0], [200.0, 0, 5.0], [200.0, 10.0, 5.0], [0, 10.0, 5.0]], "divisions": [20, 2, 4], "faces": {"6": "root", "4": "tip"}}},
{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Beam"}]}},
{"command": "model.set.create", "params": {"name": "root", "geometry": [{"body": "Beam", "face": "root"}]}},
{"command": "model.set.create", "params": {"name": "tip", "geometry": [{"body": "Beam", "face": "tip"}]}},
{"command": "model.material.create", "params": {"name": "Steel", "elastic": {"type": "isotropic", "young": 200000.0, "poisson": 0.3}, "plastic": {"type": "bilinear", "yield_stress": 250.0}}},
{"command": "model.section.create", "params": {"name": "beam", "set": "all", "material": "Steel", "kind": {"type": "solid"}, "formulation": {"integration": "reduced"}}},
{"command": "model.boundary_condition.create", "params": {"name": "plane", "type": "symmetry", "target": {"set": "root"}, "plane": "x"}},
{"command": "model.reference_point.create", "params": {"name": "Root", "xyz": [0, 5.0, 0]}},
{"command": "model.coupling.create", "params": {"name": "support", "reference_point": "Root", "set": "root", "kind": "distributing"}},
{"command": "model.boundary_condition.create", "params": {"name": "hold", "type": "displacement", "target": {"reference_point": "Root"}, "values": [null, 0, 0, 0, null, null]}},
{"command": "model.reference_point.create", "params": {"name": "Tip", "xyz": [200.0, 5.0, 0]}},
{"command": "model.coupling.create", "params": {"name": "end", "reference_point": "Tip", "set": "tip", "kind": "distributing"}},
{"command": "model.boundary_condition.create", "params": {"name": "push", "type": "displacement", "target": {"reference_point": "Tip"}, "values": [null, null, -15.0, null, null, null]}},
{"command": "model.step.create", "params": {"name": "Collapse", "procedure": {"type": "nonlinear_static", "nonlinear_geometry": false}, "boundary_conditions": ["plane", "hold", "push"], "loads": []}},
{"command": "solve.nonlinear", "params": {"step": "Collapse"}, "id": "solve"}
]