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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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# MacNeal–Harder patch test for solids (hex8 with incompatible modes)
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Our model of the published problem: a unit cube cut into seven hexahedra around an irregular inner
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hexahedron (inner node coordinates from Fig. 3), E = 10⁶, ν = 0.25, with the linear displacement
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field of Table 2(c) prescribed at the eight corners. The published solution is the uniform strain
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10⁻³ with σ_x = σ_y = σ_z = 2000 and τ = 400.
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@@ -0,0 +1,168 @@
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{
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"title": "MacNeal–Harder patch test for solids (hex8 with incompatible modes)",
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"kind": "benchmark",
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"source": "MacNeal and Harder, 'A proposed standard set of problems to test finite element accuracy', Finite Elements in Analysis and Design 1 (1985) 3–20: Fig. 3 (p. 6) geometry and inner node locations, Table 2(c) (p. 10) boundary displacements and theoretical solution",
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"quantities": [
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{
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"id": "sxx",
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"quantity": "σ_xx at inner node 7 (0.788, 0.693, 0.644)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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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": 2000.0,
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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 inner node 7 (0.788, 0.693, 0.644)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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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": 2000.0,
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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 inner node 7 (0.788, 0.693, 0.644)",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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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": 2000.0,
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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": "txy",
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"quantity": "τ_xy at inner node 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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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": 400.0,
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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": "txz",
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"quantity": "τ_xz at inner node 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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]
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]
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},
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"pointer": "/nodes/0/stress/4"
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},
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"value": 400.0,
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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": "tyz",
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"quantity": "τ_yz at inner node 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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]
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]
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},
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"pointer": "/nodes/0/stress/5"
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},
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"value": 400.0,
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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": "u7",
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"quantity": "u_x at inner node 7",
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"measure": {
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"command": "solve.probe",
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"params": {
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"step": "Patch",
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"at": [
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[
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0.788,
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0.693,
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0.644
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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": 0.0014565000000000001,
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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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}
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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": 2.000000000000001e-6,
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"value": 2000.000000000001
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},
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"syy": {
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"band": 2.000000000000003e-6,
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"value": 2000.0000000000027
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},
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"szz": {
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"band": 2.000000000000003e-6,
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"value": 2000.0000000000027
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},
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"txy": {
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"band": 4.00000000000001e-7,
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"value": 400.00000000000097
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},
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"txz": {
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"band": 4.0000000000000003e-7,
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"value": 399.99999999999994
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},
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"tyz": {
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"band": 4.0000000000000003e-7,
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"value": 399.9999999999994
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},
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"u7": {
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"band": 1.4565000000000005e-12,
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"value": 0.0014565000000000003
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}
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}
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}
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@@ -0,0 +1,46 @@
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[
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{"command": "mesh.node.add", "params": {"label": 1, "xyz": [0, 0, 0]}},
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{"command": "mesh.node.add", "params": {"label": 2, "xyz": [1, 0, 0]}},
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{"command": "mesh.node.add", "params": {"label": 3, "xyz": [1, 1, 0]}},
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{"command": "mesh.node.add", "params": {"label": 4, "xyz": [0, 1, 0]}},
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{"command": "mesh.node.add", "params": {"label": 5, "xyz": [0, 0, 1]}},
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{"command": "mesh.node.add", "params": {"label": 6, "xyz": [1, 0, 1]}},
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{"command": "mesh.node.add", "params": {"label": 7, "xyz": [1, 1, 1]}},
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{"command": "mesh.node.add", "params": {"label": 8, "xyz": [0, 1, 1]}},
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{"command": "mesh.node.add", "params": {"label": 9, "xyz": [0.249, 0.342, 0.192]}},
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{"command": "mesh.node.add", "params": {"label": 10, "xyz": [0.826, 0.288, 0.288]}},
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{"command": "mesh.node.add", "params": {"label": 11, "xyz": [0.85, 0.649, 0.263]}},
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{"command": "mesh.node.add", "params": {"label": 12, "xyz": [0.273, 0.75, 0.23]}},
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{"command": "mesh.node.add", "params": {"label": 13, "xyz": [0.32, 0.186, 0.643]}},
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{"command": "mesh.node.add", "params": {"label": 14, "xyz": [0.677, 0.305, 0.683]}},
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{"command": "mesh.node.add", "params": {"label": 15, "xyz": [0.788, 0.693, 0.644]}},
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{"command": "mesh.node.add", "params": {"label": 16, "xyz": [0.165, 0.745, 0.702]}},
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{"command": "mesh.element.add", "params": {"label": 1, "kind": "hex8", "nodes": [9, 10, 11, 12, 13, 14, 15, 16]}},
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{"command": "mesh.element.add", "params": {"label": 2, "kind": "hex8", "nodes": [1, 2, 3, 4, 9, 10, 11, 12]}},
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{"command": "mesh.element.add", "params": {"label": 3, "kind": "hex8", "nodes": [13, 14, 15, 16, 5, 6, 7, 8]}},
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{"command": "mesh.element.add", "params": {"label": 4, "kind": "hex8", "nodes": [1, 2, 10, 9, 5, 6, 14, 13]}},
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{"command": "mesh.element.add", "params": {"label": 5, "kind": "hex8", "nodes": [12, 11, 3, 4, 16, 15, 7, 8]}},
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{"command": "mesh.element.add", "params": {"label": 6, "kind": "hex8", "nodes": [1, 9, 12, 4, 5, 13, 16, 8]}},
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{"command": "mesh.element.add", "params": {"label": 7, "kind": "hex8", "nodes": [10, 2, 3, 11, 14, 6, 7, 15]}},
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{"command": "model.set.create", "params": {"name": "all", "elements": [1, 2, 3, 4, 5, 6, 7]}},
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{"command": "model.material.create", "params": {"name": "Mat", "elastic": {"type": "isotropic", "young": 1000000.0, "poisson": 0.25}}},
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{"command": "model.section.create", "params": {"name": "cube", "set": "all", "material": "Mat", "kind": {"type": "solid"}, "formulation": {"incompatible_modes": true}}},
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{"command": "model.set.create", "params": {"name": "corner1", "nodes": [1]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u1", "type": "displacement", "target": {"set": "corner1"}, "values": [0.0, 0.0, 0.0, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner2", "nodes": [2]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u2", "type": "displacement", "target": {"set": "corner2"}, "values": [0.001, 0.0005, 0.0005, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner3", "nodes": [3]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u3", "type": "displacement", "target": {"set": "corner3"}, "values": [0.0015, 0.0015, 0.001, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner4", "nodes": [4]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u4", "type": "displacement", "target": {"set": "corner4"}, "values": [0.0005, 0.001, 0.0005, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner5", "nodes": [5]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u5", "type": "displacement", "target": {"set": "corner5"}, "values": [0.0005, 0.0005, 0.001, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner6", "nodes": [6]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u6", "type": "displacement", "target": {"set": "corner6"}, "values": [0.0015, 0.001, 0.0015, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner7", "nodes": [7]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u7", "type": "displacement", "target": {"set": "corner7"}, "values": [0.002, 0.002, 0.002, null, null, null]}},
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{"command": "model.set.create", "params": {"name": "corner8", "nodes": [8]}},
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{"command": "model.boundary_condition.create", "params": {"name": "u8", "type": "displacement", "target": {"set": "corner8"}, "values": [0.001, 0.0015, 0.0015, null, null, null]}},
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{"command": "model.step.create", "params": {"name": "Patch", "procedure": {"type": "static"}, "boundary_conditions": ["u1", "u2", "u3", "u4", "u5", "u6", "u7", "u8"], "loads": []}},
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{"command": "solve.static", "params": {}, "id": "solve"}
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]
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