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
46 lines
1.3 KiB
JSON
46 lines
1.3 KiB
JSON
{
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"title": "Uniaxial tension of a J2 bilinear-hardening cube to large strain (explicit)",
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"kind": "theory",
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"source": "von Mises plasticity with linear isotropic hardening under uniaxial stress (Simo and Hughes, Computational Inelasticity, Springer 1998, §2.3); logarithmic strain for a hypoelastic–plastic law under coaxial stretching",
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"quantities": [
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{
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"id": "sigma",
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"quantity": "axial Cauchy stress at a logarithmic strain of 0.2",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Pull",
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"elements": [
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1
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]
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},
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"pointer": "/elements/0/stress/0"
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},
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"value": 643.5643564356436,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "uniaxial J2 with linear hardening: σ = σ_y + E_t (ε − σ_y/E) in logarithmic strain; the stretch takes 10⁴ wave transits, so inertia and the ringing of the start (ρcv ≈ 0.1% of σ) stay well under 1%"
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},
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{
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"id": "plastic_strain",
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"quantity": "equivalent plastic strain",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Pull",
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"elements": [
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1
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]
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},
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"pointer": "/elements/0/plastic_strain"
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},
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"value": 0.1967821782178218,
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"tolerance": {
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"relative": 0.01
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},
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"reason": "ε_p = ε − σ/E, as for the stress"
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}
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]
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}
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