Omar SobhandClaude Fable 5
4da70faa1e
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The QM6 incompatible-modes stiffness existed and was verified
(compute_stiffness_matrix_incompatible) but nothing could reach it: the
assembler always routed Quad4 through the compatible element. AssemblyOptions
gains use_incompatible_modes (default false — every existing matrix is
byte-identical, which the manufactured-solution verification depends on),
threaded through GlobalAssembler into StandardFiniteElement; element types
QM6 does not apply to keep their standard stiffness either way.
What it buys, measured on the cantilever first bending mode against
Euler-Bernoulli's 40.3848 Hz:
mesh QM6 (error) compatible (error)
8x2 40.4020 (+0.04%) 81.8102 (+102.6%)
16x4 40.3402 (-0.11%) 53.8022 (+33.2%)
32x8 40.3242 (-0.15%) 44.0796 (+9.2%)
The frequency is now asserted against the closed form directly (0.5% band)
instead of as convergence-from-above, plus the condensation theorem — QM6
can only soften, so its frequency must sit at or below the compatible one on
every mesh. The slight undershoot on finer meshes is physical: the 2-D solid
carries the transverse shear flexibility the beam theory neglects.
552 rtx-fea tests, 0 failing.
Co-Authored-By: Claude Fable 5 <[email protected]>