WP11B HEX8 buckling experimental-readiness contract¶
This contract is separate from WP06/WP06B. It does not rewrite their Euler or mesh-convergence failures and does not change any WP06 tolerance.
Experimental scope¶
The candidate scope is HEX8 linear eigenvalue buckling from a linear-elastic prestress state, on valid bounded geometries, with explicitly tested boundary conditions and the first positive instability factor/mode only. It is for exploratory/research use.
The frozen benchmark is a rectangular solid cantilever block (L=4.0,
b=1.2, h=1.0) with all DOFs fixed on x=0 and uniform nodal dead
compression on the x=L face (P=1.0). The material is homogeneous isotropic
linear elasticity (E=1000, nu=0.3). Levels are (2,2,2), (4,4,4) and
(6,6,6) HEX8 cells.
Frozen gates¶
Preload residual must be at most 1e-8, geometric-stiffness symmetry at most
1e-12, and recomputed eigen residual at most 1e-7. The critical factor must
be finite and positive; the associated mode must be finite, physically lateral
(UZ dominant in this weak-axis setup), and free of NaN/Inf.
Doubling E must double the critical factor within 5%; doubling preload P
must halve it within 5%. Doubling L must produce a finite positive factor
lower than the reference. A moderate geometry perturbation must remain finite
and within 10% of the level-4 reference. Two replay digests must match exactly.
Refinement is characterization, not a convergence-to-Euler gate. Factors, adjacent changes, modes and residuals must be reported honestly; a non-stable trend cannot be presented as general convergence.
Explicit exclusions¶
Euler prediction, certification, production use, imperfections, nonlinear/post-buckling, plasticity, arbitrary meshes, universal accuracy, multi-mode or mixed-mesh buckling, HEX8R, SRI, B-bar and hourglass control are outside this contract. An unavailable external oracle is recorded as such and is never invented.