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