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Does a patch-averaged stress make the 2 mm laser-cut bracket region mesh-independent?

research/simdesign-gaugepatch

A 3 mm patch-averaged stress converges with the mesh (≤2.2% change from h = 1.0 to 0.75 mm) where the centroid peak does not, and all 39 gauge-2 designs stay feasible; stylised, preliminary.

4 tests

What it found

Preliminary, stylised 2D plane stress. On the 39 gauge-2 bracket designs that fail the stress limit on fine meshes under the element-centroid peak, a 3 mm patch-averaged stress changes by at most 2.2% between 1.0 and 0.75 mm meshes (the centroid peak rises up to 9.7%), and all 39 stay feasible at every mesh size, with a median of 84–86 MPa on the finest mesh. The verdict flips because the criterion is less strict, not because the model changed; whether a patch average is an adequate design rule was not shown, and no fine-mesh design search was run.

Paper, code and results

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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.