forked from 1b-agent/fieldcraft-upstream
jyvikoandClaude Opus 5.5
a719ae7e5b
A slow theory case: the corpus bracket meshed by mesh.hex.octree at 7, 5 and 4 mm, clamped at the base and loaded by 2 kN. Checks equilibrium, that every element is certified valid, the mesh volume against the CAD volume, the beam bending stress of the upright leg (sigma = M c / I = 145.3 MPa, within 5%) and the convergence of the fillet von Mises stress against the 4 mm mesh. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
99 lines
2.8 KiB
JSON
99 lines
2.8 KiB
JSON
{
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"title": "Filleted L-bracket on the octree all-hex mesh: equilibrium, beam bending, fillet stress convergence",
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"kind": "theory",
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"source": "equilibrium; Euler–Bernoulli bending of the 8 × 40 mm leg, σ = M c / I with M = F (50 − y) (S. P. Timoshenko, J. N. Goodier, Theory of Elasticity, 3rd ed., 1970, §102); grid convergence of the fillet stress against the 4 mm mesh of this case (P. J. Roache, Verification and Validation in Computational Science and Engineering, 1998, ch. 5)",
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"slow": true,
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"quantities": [
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{
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"id": "reaction_x",
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"quantity": "x reaction on the clamped face (5 mm mesh)",
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"measure": {
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"from": "solve5",
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"pointer": "/reaction_total/0"
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},
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"value": -2000.0,
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"tolerance": {
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"relative": 1e-06
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},
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"reason": "the reactions balance the 2 kN load to solver precision"
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},
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{
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"id": "invalid",
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"quantity": "elements the certified Jacobian check does not prove valid (5 mm mesh)",
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"measure": {
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"from": "quality5",
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"pointer": "/invalid/count"
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},
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"value": 0.0,
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"tolerance": {
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"exact": true
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},
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"reason": "the octree mesher returns only elements proven valid"
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},
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{
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"id": "volume",
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"quantity": "mesh volume against the CAD volume (5 mm mesh)",
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"measure": {
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"from": "mesh5",
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"pointer": "/bodies/0/volume"
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},
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"value": 32144.778925,
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"tolerance": {
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"relative": 0.003
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},
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"reason": "bilinear boundary faces on the R6 fillet and the two Ø8 holes, and the 1e-3 chordal tessellation they are fitted to"
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},
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{
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"id": "syy_outer",
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"quantity": "σ_yy on the outer face of the upright leg at y = 19, z = 6 (5 mm mesh)",
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"measure": {
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"from": "probe5",
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"pointer": "/nodes/1/stress/1"
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},
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"value": 145.3125,
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"tolerance": {
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"relative": 0.05
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},
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"reason": "beam theory ignores the corner 5 mm below and the hole 9 mm above; the probe takes the nearest node's extrapolated stress"
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},
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{
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"id": "syy_inner",
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"quantity": "σ_yy on the inner face of the upright leg at y = 19, z = 6 (5 mm mesh)",
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"measure": {
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"from": "probe5",
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"pointer": "/nodes/2/stress/1"
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},
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"value": -145.3125,
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"tolerance": {
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"relative": 0.05
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},
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"reason": "as for the outer face"
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},
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{
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"id": "fillet_7",
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"quantity": "von Mises stress at the middle of the fillet, 7 mm mesh",
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"measure": {
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"from": "probe7",
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"pointer": "/nodes/0/von_mises"
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},
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"value": 143.21,
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"tolerance": {
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"relative": 0.05
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},
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"reason": "the coarsest mesh, within 5% of the 4 mm mesh"
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},
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{
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"id": "fillet_5",
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"quantity": "von Mises stress at the middle of the fillet, 5 mm mesh",
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"measure": {
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"from": "probe5",
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"pointer": "/nodes/0/von_mises"
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},
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"value": 143.21,
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"tolerance": {
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"relative": 0.02
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},
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"reason": "converging: within 2% of the 4 mm mesh"
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}
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]
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} |