Structures & elasticity · 49

Beams, plates, shells, contact, and dynamics: modal frequencies, buckling, fracture, and Newton/Uzawa convergence. Method shown on hover; tolerance is the pass gate. back to QA

CaseTierReferenceGate
structural.beam-static-balance.v1physics-gateglobal force balance, free-DOF equilibrium, strain-energy work identity, analytical tip deflection1e-8 force/free/energy/deflection residuals
structural.beam-modal-orthogonality.v1physics-gateEuler-Bernoulli cantilever first frequency plus mass orthogonality5e-2 frequency; 1e-8 mass/orthogonality
structural.beam-mesh-convergence.v1physics-gateindependent Euler-Bernoulli closed-form tip deflectioneach level <= 1e-8 relative error
fem.fsi-mortar-3d.v1contract-gateconstant trace, exact transpose work identity, 5 percent rebuild rule1e-11
fem.fracture-3d.v1contract-gateexact x+y phase-field patch2e-10
fem.thermoelasticity-3d.v1contract-gatepartition of unity and prescribed-coordinate bilinear energy identities2e-10
fem.fsi-mortar-modes-3d.v1physics-gateaffine normal trace, transpose work identity, and 5 percent rebuild thresholdresidual/work <= 1e-11; exact Boolean contracts
structural.external-deck-provenance.v1physics-gateclosed-form axial displacement and independently checked deck/file provenancethree solver decks and all declared files validate; external parity remains NotRun
structural.external-execution-contract.v1physics-gatesynthetic fixture executable; validates process/provenance/parser contract, not external solver parityrelative displacement error <= 1e-10; conflicting marker output fails closed
structural.nafems-reference-catalogue.v1reference-onlycase-specific analytical comparisons with explicit non-official provenancefour cases pass their case-specific tolerance; official reference data remains unloaded
structural.fem-topology-2d.v1physics-gateindependent equilibrium, energy, connectivity, volume, gradient, and reanalysis gatesresidual <= 1e-7; energy <= 1e-8; gradient Taylor error <= 5e-2
structural.fem-topology-2d-robust.v1physics-gateindependent morphology ordering, feasibility, shared-factorization, residual, energy, and Taylor sensitivity gatessolver/equilibrium/force <= 1e-7; energy <= 1e-8; finite aggregated stress below allowable; all 12 cases converged and feasible
structural.bounded-nonlinear-fatigue-references.v1physics-gateindependent closed-form, equilibrium, energy, damage, and reduced-residual gates with explicit bounded-scope provenanceequilibrium/residual <= 1e-7; transient energy <= 1e-10; bounded-family gates
structural.solid-topology-3d.v1physics-gateindependent multi-load, shared-factorization, modal, static, morphology, and reanalysis gatessolver <= 1e-8; equilibrium/force <= 1e-6; energy <= 1e-8
structural.solid-topology-3d-robust.v1physics-gateindependent morphology ordering, connectivity, shared-factorization, overhang, residual, energy, compliance, and Taylor sensitivity gatessolver <= 1e-8; equilibrium/force <= 1e-6; energy <= 1e-8; overhang <= configured limit; all six-case combinations feasible
structural.public-family-references.v1physics-gatemodel-assumption, finite-value, equilibrium, energy, analytical/complex, monotonicity, and body-fitted reanalysis gatesfamily-specific finite, residual, energy, analytical, monotonicity, and Taylor/reanalysis gates
structural.resolved-coupling-reference.v1physics-gatefixed-point contraction, non-negative absorbed power, total/resolved load closure, and independent monolithic reference agreementconverged fixed point; contraction < 1; absorbed power >= 0; monolithic agreement <= 1e-5; load defect < 1e-6
structural.linear-euler-buckling-reference.v1physics-gateindependent Euler load pi^2*EI/(K*L)^2 plus residual and constrained-mode checksrelative Euler-load error <= 5e-2; residual <= 1e-8; boundary error <= 1e-10
structural.constrained-topology-reference.v1physics-gateindependent feasibility gates plus fail-closed infeasible stress limitall feasibility gates pass; projected reanalysis error within configured tolerance; infeasible stress limit rejected
structural.backend-capability-catalogue.v1reference-onlyschema/version, execution-mode, integration, precision, and family-support gatescatalogue size 4; unsupported backend count 3; no unsupported family/precision claims
structural.topology-gallery-before-after.v1reference-onlyfixed-camera deterministic gallery manifest and finite source density transitionsall source/rendered values finite; exactly four manifest figures
structural.solid-topology-gallery-before-after.v1reference-onlyfixed-element-index deterministic gallery manifest with finite source density transitionsall source/rendered values finite; exactly four manifest figures
structural.solid-topology-convergence.v2reference-onlyfinite residual/feasibility metrics, objective/stress/volume changes, nearest-centroid rank projectionrelative objective/stress/volume changes and rank discordance within configured 0.75 gate
structural.hyperelastic-3d-contact.v1reference-onlyfinite Newton/Uzawa convergence, opposing contact-face discovery, engagement step, and penetration diagnosticsNewton and Uzawa residuals from configured study
structural.hyperelastic-3d-force.v1reference-onlyfinite Newton convergence, monotone applied load, downward top-face response, and typed load validationNewton residual from configured study; monotone response
structural.hyperelastic-3d-force-contact.v1reference-onlyfinite Newton/Uzawa convergence, monotone applied load, downward top-face response, contact engagement, and penetration diagnosticsNewton and Uzawa residuals from configured study; bounded penetration
structural.transient-fem-reference.v1reference-onlyper-step dynamic-equilibrium, energy, damping-power, finite-field, convergence, and typed initial-load gatesdynamic equilibrium residual <= 1e-5 N; all trajectory diagnostics finite; initial load must be zero
fem.beam-validation.v1physics-gateclosed-form axial/bending response and beta*L = 1.87510406871196 natural frequencyfirst frequency relative error <= 1e-6; eigen-residual <= 1e-6
fem.shell-validation.v1physics-gateEuler-Bernoulli tip deflection/rotation and PL/EA extension with P/A stressdeflection <= 5%; rotation <= 8%; extension <= 2%; stress <= 5%; equilibrium <= 1e-6
fem.plasticity-validation.v1physics-gatesigma_y dot eps_p plastic work and exact elastic unload slopeyield consistency and plastic work <= 1e-9; unload/hardening slopes <= 1e-9
fem.nonlinear-solid-validation.v1physics-gatelinear-field interior profile, tip estimate, global balance, and independent finite-strain NeoHookean patch displacement/stress/energy/reactionsinterior <= 5%; tip <= 30%; nonzero iterations; balance <= 1e-8; affine displacement/stress/energy/reaction/residual <= 1e-8
fem.thermoelasticity-constrained-stress.v1physics-gateuniaxial sigma=-E alpha dT, transverse strain=(1+nu) alpha dT; hydrostatic sigma=-E alpha dT/(1-2nu)displacement/stress/reaction <= 1e-9; residual <= 1e-10; nonzero free unknowns in every case
fem.thermoelasticity-3d-history-mms.v1physics-gateindependent quadratic temperature/displacements, constant-Lame strong-form sources and thermoelastic stress; staggered thermal/quasi-static scopevalue spatial/time rates >=1.8; stress spatial/time >=0.9/1.8; P2/residual/heat/force balance <=1e-9; 60 time steps; four all-history control errors >=1e-3
fem.fracture-3d-at2-history.v1physics-gateindependent quadratic damage/displacement, maximum-load positive-strain elastic history, degraded stress, body/damage sources and elastic/crack energiesP1 values>=1.8 and gradients/history/stress>=.9 rates; exact P2/residual/budgets/irreversibility<=1e-9; controls>=1e-3
fem.fsi-mortar-3d-dynamic.v1physics-gateindependent affine 3D fields, pressure and traction, exterior stress and volume sources; exact box-integrated kinetic/compressive/elastic energylinear-time patch/residual/power<=1e-9; six temporal rates>=1.8; fine errors<=.005; constraint/action-reaction<=1e-10; four controls>=1e-3
fem.axisymmetric-solides-integrity.v1contract-gatechecked-in SOLIDES golden schemaaudited_files >= 7; numerical_solve_executed = 0
fem.crash-shells-integrity.v1contract-gatechecked-in CRASH golden series and schemafailed_probes = 0; numerical_solve_executed = 0
fem.shell-plate-harvest.v1physics-gateindependent OpenCourant QEPH pressure hold and Kirchhoff circular plateengine displacement/energy <= 5%; Kirchhoff displacement <= 2%; spatial rate >= 1; equilibrium <= 1e-6
fem.elasticity-plate-hole-kirsch-convergence.v1physics-gateKirsch uniaxial-tension plane-stress displacement and sigma_xx, E=200GPa, nu=0.3, sigma=1MPadisplacement<=0.005; stress<=0.02; concentration error<=0.01; both mesh contraction maxima<=0.85; domain displacement/stress ratios<=0.9/0.95; true residual<=1e-8
fem.opencourant.plasticity-thick-cylinder.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referenceall four native/external physical probes and bore plastic strain <=3%; temporal changes <=.3%; original analytical budgets retained; bore plastic strain >=5e-4, outer 0..1e-9; energy drift <=1%; no er
fem.opencourant.cantilever.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencenative/OpenCourant <=3%, native/analytical <=1%; spatial changes <=2% then <=0.5%, contraction <=0.6; timestep change <=0.3%; every-step true residual <=1e-8; structured optional SKIP or required-engi
fem.opencourant.beam-3d-cantilever.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencenative/OpenCourant <=3%, native/analytical <=1%; spatial changes <=2% then <=0.5%, contraction <=0.6; timestep change <=0.3%; every-step true residual <=1e-8; structured optional SKIP or required-engi
fem.opencourant.beam-torsion.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencenative/OpenCourant displacement <=3%, native/exact square torsion <=1%; spatial changes <=2% then <=0.5%, contraction <=0.6; finest-grid timestep change <=0.3%; every-step independent dynamic residual
fem.opencourant.shell-scordelis-lo.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referenceexternal analytical probe budgets remain case-specific; native_parity_executed must equal 1 before release success; unavailable optional engine yields structured SKIP, SONIUM_QA_REQUIRE_OPENCOURANT=1
fem.opencourant.shell-clamped-plate.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencenative/external displacement and moment <=3%; original analytical bounds 5% and 15%; native/external and analytical thickness <=1e-6; spatial changes <=2% then <=.5%, contraction <=.6; timestep <=.3%;
fem.opencourant.beam-curved-arch.native-parity.v1physics-gateoriginal OpenCourant deck health plus complete 40x4x4,60x6x6,80x8x8 arc/section external histories; material, original nine load locations/scales, root clamp, ramp/hold and probe remain identical; finest external result native/refined OpenCourant displacement <=3%; original approximate Castigliano budget 10%; both native and external spatial changes <=2% then <=0.5%, contraction <=0.6; native timestep <=0.3%; every-s
fem.opencourant.beam-warping.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencenative/external paired displacements <=3%; original Vlasov budgets 15% midspan and 20% tip; axial Vlasov warping <=20%; spatial changes <=2% then <=0.5%, contraction <=0.6; timestep change <=0.3%; eve
fem.opencourant.shell-twisted-beam.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencenative/external <=3%; native MacNeal <=1%; original external health <=5%; spatial <=2% then .5%, contraction <=.6; timestep <=.3%; every-step residual <=1e-8; thickness <=1e-6; four actual native hist
fem.opencourant.shell-oht-elastic.native-parity.v1physics-gateOpenCourant external engine health is recorded separately from native parity; OPENCOURANT_EXE or legacy RADISS_EXE selects the referencefull-history and final native/external displacement and stress <=3%; original analytical compliance <=10%, staircase-hole stress <=20%; full-history and final timestep changes <=0.3%; every-step physi