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Verification oracle: tests/oracle cases, cargo xtask oracle, fixtures, docs/oracle.md, CI job
The oracle binary (modelcraft-testkit) runs each case's recipe through the command engine, measures its quantities by JSON pointers into step outputs or commands, compares them with the cited references and the frozen fixtures, and writes docs/oracle.md. 20 theory cases (patch tests of every solid element, Timoshenko cantilevers, Lame, Kirsch, beam frequencies, torsion and bending through couplings, explicit waves and impact, CDT invariants), 8 published benchmarks (MacNeal-Harder patch, straight and curved cantilevers, thick cylinder, Scordelis-Lo with solids, NAFEMS LE1, LE10, FV32) and 10 pending cases with citations. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
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jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed
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# Constant-stress patch test, hex20
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A unit cube of eight hex20 cells whose shared points are moved off the regular grid (every
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face, edge and centre point; the corners stay), so every element is distorted (one mesh.block per cell). Symmetry on the
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faces x = 0, y = 0 and z = 0; tractions 1, 2 and 3 on the faces x = 1, y = 1 and z = 1
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(E = 1000, ν = 0.25). The exact solution is the uniform stress diag(1, 2, 3) with strains
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ε_i = (σ_i − ν(σ_j + σ_k))/E, which every conforming element of a convergent formulation
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reproduces exactly on any mesh.
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@@ -0,0 +1,168 @@
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{
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"title": "Constant-stress patch test, hex20",
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"kind": "theory",
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"source": "Irons and Razzaque, 'Experience with the patch test for convergence of finite elements', in Aziz (ed.), The Mathematical Foundations of the Finite Element Method, Academic Press 1972, pp. 557–587; MacNeal and Harder, Finite Elements in Analysis and Design 1 (1985) 3–20, constant-stress loading, p. 14 Table 7",
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"quantities": [
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{
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"id": "ux",
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"quantity": "u_x at the corner (1, 1, 1)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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1,
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1,
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1
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]
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]
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},
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"pointer": "/nodes/0/displacement/0"
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},
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"value": -0.00025,
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"tolerance": {
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"relative": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding"
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},
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{
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"id": "uy",
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"quantity": "u_y at the corner (1, 1, 1)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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1,
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1,
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1
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]
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]
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},
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"pointer": "/nodes/0/displacement/1"
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},
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"value": 0.001,
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"tolerance": {
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"relative": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding"
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},
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{
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"id": "uz",
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"quantity": "u_z at the corner (1, 1, 1)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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1,
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1,
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1
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]
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]
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},
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"pointer": "/nodes/0/displacement/2"
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},
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"value": 0.00225,
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"tolerance": {
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"relative": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding"
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},
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{
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"id": "sxx",
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"quantity": "σ_xx at the inner node (0.46, 0.55, 0.53)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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0.46,
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0.55,
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0.53
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]
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]
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},
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"pointer": "/nodes/0/stress/0"
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},
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"value": 1.0,
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"tolerance": {
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"relative": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding"
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},
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{
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"id": "syy",
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"quantity": "σ_yy at the inner node (0.46, 0.55, 0.53)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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0.46,
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0.55,
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0.53
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]
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]
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},
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"pointer": "/nodes/0/stress/1"
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},
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"value": 2.0,
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"tolerance": {
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"relative": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding"
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},
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{
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"id": "szz",
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"quantity": "σ_zz at the inner node (0.46, 0.55, 0.53)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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0.46,
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0.55,
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0.53
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]
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]
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},
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"pointer": "/nodes/0/stress/2"
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},
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"value": 3.0,
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"tolerance": {
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"relative": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding"
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},
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{
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"id": "sxy",
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"quantity": "σ_xy at the inner node",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Load",
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"at": [
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[
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0.46,
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0.55,
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0.53
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]
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]
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},
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"pointer": "/nodes/0/stress/3"
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},
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"value": 0.0,
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"tolerance": {
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"absolute": 1e-09
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},
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"reason": "a patch test is passed exactly: the tolerance only admits rounding (stresses of order 1)"
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}
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]
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}
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@@ -0,0 +1,33 @@
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{
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"note": "ModelCraft's accepted results for this case, written by `cargo xtask oracle --bless`. A result outside its band fails CI.",
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"values": {
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"sxx": {
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"band": 1.0000000000000034e-9,
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"value": 1.0000000000000033
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},
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"sxy": {
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"band": 1.0000000000005828e-12,
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"value": 5.826462044860843e-16
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},
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"syy": {
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"band": 2.0000000000000026e-9,
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"value": 2.0000000000000027
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},
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"szz": {
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"band": 3.0000000000000025e-9,
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"value": 3.000000000000002
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},
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"ux": {
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"band": 2.500000000000003e-13,
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"value": -0.0002500000000000003
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},
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"uy": {
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"band": 1.000000000000001e-12,
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"value": 0.0010000000000000009
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},
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"uz": {
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"band": 2.2500000000000027e-12,
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"value": 0.0022500000000000024
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}
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}
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}
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@@ -0,0 +1,27 @@
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[
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.0, 0.0, 0.0], [0.46, 0.0, 0.0], [0.55, 0.47, 0.0], [0.0, 0.46, 0.0], [0.0, 0.0, 0.53], [0.56, 0.0, 0.45], [0.46, 0.55, 0.53], [0.0, 0.47, 0.54]], "divisions": [1, 1, 1], "faces": {"6": "x0", "3": "y0", "1": "z0"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.46, 0.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.55, 0.0], [0.55, 0.47, 0.0], [0.56, 0.0, 0.45], [1.0, 0.0, 0.54], [1.0, 0.46, 0.45], [0.46, 0.55, 0.53]], "divisions": [1, 1, 1], "faces": {"4": "x1", "3": "y0", "1": "z0"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.0, 0.46, 0.0], [0.55, 0.47, 0.0], [0.56, 1.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.47, 0.54], [0.46, 0.55, 0.53], [0.55, 1.0, 0.54], [0.0, 1.0, 0.45]], "divisions": [1, 1, 1], "faces": {"6": "x0", "5": "y1", "1": "z0"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.55, 0.47, 0.0], [1.0, 0.55, 0.0], [1.0, 1.0, 0.0], [0.56, 1.0, 0.0], [0.46, 0.55, 0.53], [1.0, 0.46, 0.45], [1.0, 1.0, 0.53], [0.55, 1.0, 0.54]], "divisions": [1, 1, 1], "faces": {"4": "x1", "5": "y1", "1": "z0"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.0, 0.0, 0.53], [0.56, 0.0, 0.45], [0.46, 0.55, 0.53], [0.0, 0.47, 0.54], [0.0, 0.0, 1.0], [0.55, 0.0, 1.0], [0.56, 0.46, 1.0], [0.0, 0.55, 1.0]], "divisions": [1, 1, 1], "faces": {"6": "x0", "3": "y0", "2": "z1"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.56, 0.0, 0.45], [1.0, 0.0, 0.54], [1.0, 0.46, 0.45], [0.46, 0.55, 0.53], [0.55, 0.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.47, 1.0], [0.56, 0.46, 1.0]], "divisions": [1, 1, 1], "faces": {"4": "x1", "3": "y0", "2": "z1"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.0, 0.47, 0.54], [0.46, 0.55, 0.53], [0.55, 1.0, 0.54], [0.0, 1.0, 0.45], [0.0, 0.55, 1.0], [0.56, 0.46, 1.0], [0.46, 1.0, 1.0], [0.0, 1.0, 1.0]], "divisions": [1, 1, 1], "faces": {"6": "x0", "5": "y1", "2": "z1"}}},
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{"command": "mesh.block", "params": {"body": "Cube", "kind": "hex20", "corners": [[0.46, 0.55, 0.53], [1.0, 0.46, 0.45], [1.0, 1.0, 0.53], [0.55, 1.0, 0.54], [0.56, 0.46, 1.0], [1.0, 0.47, 1.0], [1.0, 1.0, 1.0], [0.46, 1.0, 1.0]], "divisions": [1, 1, 1], "faces": {"4": "x1", "5": "y1", "2": "z1"}}},
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{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Cube"}]}},
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{"command": "model.set.create", "params": {"name": "x0", "geometry": [{"body": "Cube", "face": "x0"}]}},
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{"command": "model.set.create", "params": {"name": "x1", "geometry": [{"body": "Cube", "face": "x1"}]}},
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{"command": "model.set.create", "params": {"name": "y0", "geometry": [{"body": "Cube", "face": "y0"}]}},
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{"command": "model.set.create", "params": {"name": "y1", "geometry": [{"body": "Cube", "face": "y1"}]}},
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{"command": "model.set.create", "params": {"name": "z0", "geometry": [{"body": "Cube", "face": "z0"}]}},
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{"command": "model.set.create", "params": {"name": "z1", "geometry": [{"body": "Cube", "face": "z1"}]}},
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{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 1000.0, "poisson": 0.25}}},
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{"command": "model.section.create", "params": {"name": "solid", "set": "all", "material": "Mat", "kind": {"type": "solid"}}},
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{"command": "model.boundary_condition.create", "params": {"name": "sym_x", "type": "symmetry", "target": {"set": "x0"}, "plane": "x"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sym_y", "type": "symmetry", "target": {"set": "y0"}, "plane": "y"}},
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{"command": "model.boundary_condition.create", "params": {"name": "sym_z", "type": "symmetry", "target": {"set": "z0"}, "plane": "z"}},
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{"command": "model.load.create", "params": {"name": "tx", "type": "traction", "set": "x1", "vector": [1.0, 0, 0]}},
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{"command": "model.load.create", "params": {"name": "ty", "type": "traction", "set": "y1", "vector": [0, 2.0, 0]}},
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{"command": "model.load.create", "params": {"name": "tz", "type": "traction", "set": "z1", "vector": [0, 0, 3.0]}},
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{"command": "model.step.create", "params": {"name": "Load", "procedure": {"type": "static"}, "boundary_conditions": ["sym_x", "sym_y", "sym_z"], "loads": ["tx", "ty", "tz"]}},
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{"command": "solve.static", "params": {}, "id": "solve"}
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]
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