forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
96c9992c92
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 <[email protected]> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
77 lines
1.7 KiB
JSON
77 lines
1.7 KiB
JSON
{
|
||
"title": "Rotating disc with a central hole, plane stress",
|
||
"kind": "theory",
|
||
"source": "Timoshenko and Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill 1970, §32 (rotating disc of uniform thickness with a hole)",
|
||
"quantities": [
|
||
{
|
||
"id": "hoop_bore",
|
||
"quantity": "hoop stress σ_θ = σ_yy at the bore (20, 0)",
|
||
"measure": {
|
||
"command": "solve.probe",
|
||
"params": {
|
||
"step": "Spin",
|
||
"at": [
|
||
[
|
||
20.0,
|
||
0,
|
||
0
|
||
]
|
||
]
|
||
},
|
||
"pointer": "/nodes/0/stress/1"
|
||
},
|
||
"value": 65.312,
|
||
"tolerance": {
|
||
"relative": 0.01
|
||
},
|
||
"reason": "stress extrapolated to the bore surface, where the a²b²/r² term is steepest: 16 radial quadratic elements graded towards the bore leave about 0.2% (8 uniform: −2.4%; 32 graded: −0.05%)"
|
||
},
|
||
{
|
||
"id": "radial_max",
|
||
"quantity": "radial stress σ_r = σ_xx at r = √(ab), its maximum",
|
||
"measure": {
|
||
"command": "solve.probe",
|
||
"params": {
|
||
"step": "Spin",
|
||
"at": [
|
||
[
|
||
44.721359549995796,
|
||
0,
|
||
0
|
||
]
|
||
]
|
||
},
|
||
"pointer": "/nodes/0/stress/0"
|
||
},
|
||
"value": 20.724,
|
||
"tolerance": {
|
||
"relative": 0.01
|
||
},
|
||
"reason": "the nearest node to √(ab) is within half an element of it, where σ_r is stationary (an error of order (h/r)², under 0.5%), and nodal averaging adds a few tenths of a percent"
|
||
},
|
||
{
|
||
"id": "hoop_rim",
|
||
"quantity": "hoop stress σ_θ = σ_yy at the rim (100, 0)",
|
||
"measure": {
|
||
"command": "solve.probe",
|
||
"params": {
|
||
"step": "Spin",
|
||
"at": [
|
||
[
|
||
100.0,
|
||
0,
|
||
0
|
||
]
|
||
]
|
||
},
|
||
"pointer": "/nodes/0/stress/1"
|
||
},
|
||
"value": 16.328,
|
||
"tolerance": {
|
||
"relative": 0.01
|
||
},
|
||
"reason": "as at the bore"
|
||
}
|
||
]
|
||
}
|