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 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
77 lines
1.7 KiB
JSON
77 lines
1.7 KiB
JSON
{
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"title": "Rotating disc with a central hole, plane stress",
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"kind": "theory",
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"source": "Timoshenko and Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill 1970, §32 (rotating disc of uniform thickness with a hole)",
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"quantities": [
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{
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"id": "hoop_bore",
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"quantity": "hoop stress σ_θ = σ_yy at the bore (20, 0)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Spin",
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"at": [
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[
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20.0,
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0,
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0
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]
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]
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},
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"pointer": "/nodes/0/stress/1"
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},
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"value": 65.312,
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"tolerance": {
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"relative": 0.01
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},
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"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%)"
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},
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{
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"id": "radial_max",
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"quantity": "radial stress σ_r = σ_xx at r = √(ab), its maximum",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Spin",
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"at": [
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[
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44.721359549995796,
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0,
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0
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]
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]
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},
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"pointer": "/nodes/0/stress/0"
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},
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"value": 20.724,
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"tolerance": {
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"relative": 0.01
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},
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"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"
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},
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{
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"id": "hoop_rim",
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"quantity": "hoop stress σ_θ = σ_yy at the rim (100, 0)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Spin",
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"at": [
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[
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100.0,
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0,
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0
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]
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]
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},
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"pointer": "/nodes/0/stress/1"
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},
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"value": 16.328,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "as at the bore"
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}
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]
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}
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