{
  "model": "Nonlinear triangular membrane + signed dihedral springs + finite rigid-block contact",
  "date": "2026-10-26",
  "checks": [
    {
      "name": "Energy gradient and assembled tangent agree with independent finite differences",
      "pass": true,
      "details": {
        "directionalGradientRelativeError": 3.5696143331274612e-09,
        "tangentRelativeError": 1.3690295410182722e-09
      }
    },
    {
      "name": "Internal energy is unchanged by rigid rotation and translation",
      "pass": true,
      "details": {
        "rigidMotionEnergyError": 2.106048668792937e-11,
        "initialEnergy": "zero within 1e-18 N mm"
      }
    },
    {
      "name": "Finite-block contact is non-adhesive and continuous at the edge",
      "pass": true,
      "details": {
        "outsideForce": "zero",
        "undersideNormal": "vertical",
        "sideNormal": "horizontal",
        "edgeEnergyLimit": 1.0000000006348273e-10
      }
    },
    {
      "name": "Every main replay state satisfies residual, balance and penetration gates",
      "pass": true,
      "details": {
        "states": 57,
        "maxResidual": 1.384095515923376e-07,
        "maxBalanceError": 1.23108446547293e-08,
        "maxEdgeStrain": 0.0004885482286962617,
        "maxContactPenetration": 0.0012269996151212936,
        "maxSupportPenetration": 0.003032871701845198
      }
    },
    {
      "name": "Identical developed material and no projected element inversion",
      "pass": true,
      "details": {
        "developedAreas": [
          43200.0,
          43200.0,
          43200.0
        ],
        "minimumOrientedXYDoubleArea": 191.902456594654,
        "scope": "Positive projected element orientation; not a general self-contact detector."
      }
    },
    {
      "name": "Saved coordinates reproduce the recorded energy",
      "pass": true,
      "details": {
        "recomputedStates": 12,
        "check": "Stored mesh reproduces its recorded energy components."
      }
    },
    {
      "name": "Every sensitivity sample is an accepted equilibrium",
      "pass": true,
      "details": {
        "acceptedControlStates": 59
      }
    },
    {
      "name": "Initial force ordering is tested across meshes and decade crease changes",
      "pass": true,
      "details": {
        "forceRatiosAtHalfMillimetre_7CreasesOver1": {
          "base": 42.32650821882517,
          "stiff": 25.43478257080076,
          "soft": 46.62505965209069,
          "refined": 38.974484854007464
        },
        "scope": "Only the sampled initial ordering; no universal ranking or physical load rating."
      }
    },
    {
      "name": "Contact penalty, edge smoothing and smaller load increments are probed",
      "pass": true,
      "details": {
        "doubleContactPenaltyRelativeChange": 0.0005237162290256947,
        "finerLoadIncrementsAt2mm": 1.0686266538328937e-08,
        "halvedContactEdgeRegularization": 0.0025497545234964836
      }
    }
  ],
  "main": {
    "states": 57,
    "maxResidual": 1.384095515923376e-07,
    "maxBalanceError": 1.23108446547293e-08,
    "maxEdgeStrain": 0.0004885482286962617,
    "maxContactPenetration": 0.0012269996151212936,
    "maxSupportPenetration": 0.003032871701845198
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  "meshComparisons": {
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      {
        "drop": 0.5,
        "base": 0.004647910191124538,
        "refined": 0.00464069432766223,
        "relativeChange": 0.0015524963189020857
      },
      {
        "drop": 1.0,
        "base": 0.009241138651105985,
        "refined": 0.009226694767505702,
        "relativeChange": 0.0015629982565572575
      },
      {
        "drop": 2.0,
        "base": 0.018273435643045843,
        "refined": 0.01824442969962092,
        "relativeChange": 0.0015873284034555457
      },
      {
        "drop": 4.0,
        "base": 0.03578456242525618,
        "refined": 0.03572548120729379,
        "relativeChange": 0.0016510253013655163
      },
      {
        "drop": 6.0,
        "base": 0.052663817438158844,
        "refined": 0.05257205449922252,
        "relativeChange": 0.0017424285477231072
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    ],
    "8": [
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        "drop": 0.5,
        "base": 0.19672980890499403,
        "refined": 0.18086867078554994,
        "relativeChange": 0.08062396953327922
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      {
        "drop": 1.0,
        "base": 0.378896678463958,
        "refined": 0.34746646724350666,
        "relativeChange": 0.08295193124381295
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      {
        "drop": 2.0,
        "base": 0.7016484356737518,
        "refined": 0.7972237131022649,
        "relativeChange": 0.1362153360133096
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      {
        "drop": 3.0,
        "base": 1.2772803039388325,
        "refined": 1.31954410721162,
        "relativeChange": 0.03308890236736284
      },
      {
        "drop": 4.0,
        "base": 1.8893254577829088,
        "refined": 1.6907327365940037,
        "relativeChange": 0.10511302876421846
      },
      {
        "drop": 5.0,
        "base": 2.263320450792239,
        "refined": 1.8405602342170169,
        "relativeChange": 0.18678760951735385
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      {
        "drop": 6.0,
        "base": 2.260588880183234,
        "refined": 1.822387525851824,
        "relativeChange": 0.19384389535521873
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      {
        "drop": 7.0,
        "base": 2.001447584810734,
        "refined": 0.3435161287746941,
        "relativeChange": 0.828366162880464
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      {
        "drop": 8.0,
        "base": 1.6157353160462407,
        "refined": 1.469527618285801,
        "relativeChange": 0.0904898817946338
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      {
        "drop": 10.0,
        "base": 0.8611459514753506,
        "refined": 1.014867300573937,
        "relativeChange": 0.17850789269255074
      },
      {
        "drop": 12.0,
        "base": 0.4392108288952201,
        "refined": 0.6458800386999416,
        "relativeChange": 0.4705467083418049
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      {
        "drop": 16.0,
        "base": 0.20664901669054103,
        "refined": 0.2400087653700858,
        "relativeChange": 0.16143192556053299
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      {
        "drop": 20.0,
        "base": 0.15010826167660696,
        "refined": 0.1784856257984301,
        "relativeChange": 0.18904598457718014
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  "creaseOrdering": {
    "base": 42.32650821882517,
    "stiff": 25.43478257080076,
    "soft": 46.62505965209069,
    "refined": 38.974484854007464
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  "numericalControls": {
    "doubleContactPenaltyRelativeChange": 0.0005237162290256947,
    "finerLoadIncrementsAt2mm": 1.0686266538328937e-08,
    "halvedContactEdgeRegularization": 0.0025497545234964836
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  "summary": {
    "mesh": "Refining from 12 \u00d7 16 to 18 \u00d7 24 cells preserves the initial ordering. For seven creases, the sampled peak changes from 2.263 to 1.841 N; matched later states differ by up to 83%. The post-peak path is not mesh-converged.",
    "crease": "At 0.5 mm travel, seven creases resist 42.3\u00d7 as much as one in the reference model. Changing crease stiffness tenfold down and up retains that ordering in these controls; it does not calibrate the sheet to real paper.",
    "contact": "Doubling the contact penalty changes sampled reactions by at most 0.05%. Halving the edge regularization changes the checked refined reactions by at most 0.25%. Smaller load steps change the 2 mm reaction by 0.000%."
  },
  "controls": {
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        "thickness": 0.5,
        "E": 2000.0,
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        "angle": 24,
        "creasePerLength": 0.02,
        "panelBendingScale": 1,
        "contactPerArea": 2,
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        "baseThickness": 8
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