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
This commit is contained in:
jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed 2026-10-13 21:42:19 -04:00
1 parent 84e81acf3a
commit 96c9992c92
31 files changed
+686 -13

No files matched your search

@@ -0,0 +1,76 @@
{
"title": "Thick-walled cylinder under internal pressure, 2D plane strain (Lamé)",
"kind": "theory",
"source": "Lamé's solution, Timoshenko and Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill 1970, §28",
"quantities": [
{
"id": "ur_a",
"quantity": "radial displacement at the bore (10, 0)",
"measure": {
"command": "solve.probe",
"params": {
"step": "Pressure",
"at": [
[
10.0,
0,
0
]
]
},
"pointer": "/nodes/0/displacement/0"
},
"value": 0.00907936507936508,
"tolerance": {
"relative": 0.001
},
"reason": "quadratic elements on 8 radial divisions resolve u_r = A r + B/r to well under 0.1%"
},
{
"id": "hoop_a",
"quantity": "hoop stress σ_θ = σ_yy at the bore (10, 0)",
"measure": {
"command": "solve.probe",
"params": {
"step": "Pressure",
"at": [
[
10.0,
0,
0
]
]
},
"pointer": "/nodes/0/stress/1"
},
"value": 166.66666666666666,
"tolerance": {
"relative": 0.01
},
"reason": "stress extrapolated to the bore surface and averaged over two elements: about 0.5%"
},
{
"id": "szz",
"quantity": "axial stress σ_zz = 2νA at the bore (plane strain)",
"measure": {
"command": "solve.probe",
"params": {
"step": "Pressure",
"at": [
[
10.0,
0,
0
]
]
},
"pointer": "/nodes/0/stress/2"
},
"value": 20.0,
"tolerance": {
"relative": 0.01
},
"reason": "σ_zz = ν(σ_r + σ_θ) follows the in-plane stresses, extrapolated as they are"
}
]
}