oracle: 2D cases (Kirsch plane stress, Lamé plane strain and axisymmetric, rotating disc and cylinder, NAFEMS LE1 with quad8) and J2 uniaxial explicit

The pending 2D LE1 case becomes a real one; the plasticity cases stay
pending with what they still need (static J2 for the collapse pressure,
the transcribed measurements for the Taylor bar).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
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jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed 2026-10-13 21:42:19 -04:00
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{
"title": "Long rotating solid cylinder, axisymmetric",
"kind": "theory",
"source": "Timoshenko and Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill 1970, §32 (long rotating cylinder, ε_z = 0)",
"quantities": [
{
"id": "radial_axis",
"quantity": "radial stress σ_r on the axis (r = 0)",
"measure": {
"command": "solve.probe",
"params": {
"step": "Spin",
"at": [
[
0,
0,
0
]
]
},
"pointer": "/nodes/0/stress/0"
},
"value": 0.3857142857142857,
"tolerance": {
"relative": 0.01
},
"reason": "stress extrapolated to the axis, where σ_r = σ_θ: under 1% with sixteen quadratic elements across"
},
{
"id": "hoop_rim",
"quantity": "hoop stress σ_θ at the surface (r = 1)",
"measure": {
"command": "solve.probe",
"params": {
"step": "Spin",
"at": [
[
1.0,
0,
0
]
]
},
"pointer": "/nodes/0/stress/2"
},
"value": 0.12857142857142853,
"tolerance": {
"relative": 0.01
},
"reason": "stress extrapolated to the surface: under 1%"
}
]
}