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": "Plate with a circular hole in tension, 2D plane stress (Kirsch)",
"kind": "theory",
"source": "Kirsch, Zeitschrift des VDI 42 (1898) 797–807; Timoshenko and Goodier, Theory of Elasticity, 3rd ed., 1970, §35",
"quantities": [
{
"id": "kt",
"quantity": "σ_xx at the top of the hole (0, 1) over the remote stress",
"measure": {
"command": "solve.probe",
"params": {
"step": "Tension",
"at": [
[
0,
1.0,
0
]
]
},
"pointer": "/nodes/0/stress/0"
},
"value": 3.0,
"tolerance": {
"relative": 0.02
},
"reason": "the reference is the infinite plate; the finite plate (W = 60a, loaded ends 30a away) raises the peak by a few tenths of a percent, and the stress extrapolated to the hole surface adds up to about 1%"
},
{
"id": "side",
"quantity": "σ_yy at the side of the hole (1, 0) over the remote stress",
"measure": {
"command": "solve.probe",
"params": {
"step": "Tension",
"at": [
[
1.0,
0,
0
]
]
},
"pointer": "/nodes/0/stress/1"
},
"value": -1.0,
"tolerance": {
"relative": 0.03
},
"reason": "infinite-plate value −S; finite width and extrapolation as for Kt, on a smaller value"
}
]
}