forked from 1b-agent/fieldcraft-upstream
The Z-section cantilever under an end torque as five hex20 blocks (two flanges, two corner blocks, the web; two elements through every wall): axial stress at A, on the mid-surface of the lower flange at its free edge, -109.45 against -108 (2%). The solid model converges to about -109.7, 1.6% beyond the thin-walled reference, as ESRD's converged p-version solid (-109.5) does. The README also records the MITC4 mid-surface shell model of the same problem, which converges to about -111.3 (3.1%), and why the case is the solid. Part of #97.
16 lines
1.0 KiB
JSON
16 lines
1.0 KiB
JSON
{
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"title": "NAFEMS LE5 Z-section cantilever (hex20)",
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"kind": "benchmark",
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"source": "NAFEMS, The Standard NAFEMS Benchmarks, TNSB Rev. 3, October 1990, test LE5 (target: axial stress −108 MPa at A, mid-surface); the problem and target as reproduced in the Abaqus 2016 Benchmarks Guide, section 4.2.5 'LE5: Z-section cantilever', and in the ESRD StressCheck Benchmarks Guide 'The Standard NAFEMS Benchmarks: Linear Elastic Tests' (2018), p. 15",
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"quantities": [
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{
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"id": "sxx_A",
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"quantity": "σ_xx at A (2.5, −1, −1), mid-surface of the lower flange at its free edge",
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"measure": {"command": "solve.probe", "params": {"step": "Torque", "at": [[2.5, -1, -1]]}, "pointer": "/nodes/0/stress/0"},
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"value": -108.0,
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"tolerance": {"relative": 0.02},
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"reason": "the target is published to three figures and comes from a thin-walled idealisation; a 3D solid model of the section converges about 1.5% beyond it (ours: −109.46 here, −109.60 on the next mesh; ESRD's p-version solid: −109.5, see README)"
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}
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]
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}
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