forked from 1b-agent/fieldcraft-upstream
Theory cases for the nonlinear solver, each frozen as a fixture: uniaxial stretch of a neo-Hookean block to twice its length (closed form), the nonlinear patch test on a distorted hex8 mesh, a quarter turn of the same mesh (objectivity: zero stress), the elastica of a hex20 cantilever at P L²/(E I) = 1, 2, 5, 10 against Bisshopp–Drucker (0.2–0.5 %), and the inflation of a thick neo-Hookean tube by a follower pressure against Rivlin's closed form (0.08 % at the bore). A finite-strain Cook's membrane is pending its transcribed reference. docs/fem.md describes the formulation, the material point interface, the follower-pressure choice and what nonlinear steps refuse; the literature, parity and roadmap pages follow. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
19 lines
2.3 KiB
JSON
19 lines
2.3 KiB
JSON
[
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{"command": "mesh.block", "params": {"body": "Pipe", "kind": "hex20", "corners": [[10.0, 0, 0], [20.0, 0, 0], [0, 20.0, 0], [0, 10.0, 0], [10.0, 0, 1], [20.0, 0, 1], [0, 20.0, 1], [0, 10.0, 1]], "divisions": [6, 16, 1], "edges": [{"corners": [2, 3], "arc": {"center": [0, 0, 0]}}, {"corners": [1, 4], "arc": {"center": [0, 0, 0]}}, {"corners": [6, 7], "arc": {"center": [0, 0, 1]}}, {"corners": [5, 8], "arc": {"center": [0, 0, 1]}}], "faces": {"6": "bore", "3": "y0", "5": "x0", "1": "z0", "2": "z1"}}},
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{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Pipe"}]}},
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{"command": "model.set.create", "params": {"name": "bore", "geometry": [{"body": "Pipe", "face": "bore"}]}},
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{"command": "model.set.create", "params": {"name": "x0", "geometry": [{"body": "Pipe", "face": "x0"}]}},
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{"command": "model.set.create", "params": {"name": "y0", "geometry": [{"body": "Pipe", "face": "y0"}]}},
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{"command": "model.set.create", "params": {"name": "z0", "geometry": [{"body": "Pipe", "face": "z0"}]}},
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{"command": "model.set.create", "params": {"name": "z1", "geometry": [{"body": "Pipe", "face": "z1"}]}},
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{"command": "model.material.create", "params": {"name": "Rubber", "elastic": {"type": "isotropic", "young": 3.0, "poisson": 0.4995}, "hyperelastic": {"type": "neo_hookean"}}},
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{"command": "model.section.create", "params": {"name": "pipe", "set": "all", "material": "Rubber", "kind": {"type": "solid"}, "formulation": {"hybrid": true}}},
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{"command": "model.boundary_condition.create", "params": {"name": "sx", "type": "symmetry", "target": {"set": "x0"}, "plane": "x"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sy", "type": "symmetry", "target": {"set": "y0"}, "plane": "y"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sz0", "type": "symmetry", "target": {"set": "z0"}, "plane": "z"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sz1", "type": "symmetry", "target": {"set": "z1"}, "plane": "z"}},
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{"command": "model.load.create", "params": {"name": "p", "type": "pressure", "set": "bore", "magnitude": 0.42837119949633445}},
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{"command": "model.step.create", "params": {"name": "Inflate", "procedure": {"type": "nonlinear_static"}, "boundary_conditions": ["sx", "sy", "sz0", "sz1"], "loads": ["p"]}},
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{"command": "solve.nonlinear", "params": {"step": "Inflate"}, "id": "solve"}
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]
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