{
 "title": "Constant-stress patch test, tet4",
 "kind": "theory",
 "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",
 "quantities": [
  {
   "id": "ux",
   "quantity": "u_x at the corner (1, 1, 1)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       1,
       1,
       1
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/0"
   },
   "value": -0.00025,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding"
  },
  {
   "id": "uy",
   "quantity": "u_y at the corner (1, 1, 1)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       1,
       1,
       1
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/1"
   },
   "value": 0.001,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding"
  },
  {
   "id": "uz",
   "quantity": "u_z at the corner (1, 1, 1)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       1,
       1,
       1
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/2"
   },
   "value": 0.00225,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding"
  },
  {
   "id": "sxx",
   "quantity": "σ_xx at the inner node (0.46, 0.55, 0.53)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       0.46,
       0.55,
       0.53
      ]
     ]
    },
    "pointer": "/nodes/0/stress/0"
   },
   "value": 1.0,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding"
  },
  {
   "id": "syy",
   "quantity": "σ_yy at the inner node (0.46, 0.55, 0.53)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       0.46,
       0.55,
       0.53
      ]
     ]
    },
    "pointer": "/nodes/0/stress/1"
   },
   "value": 2.0,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding"
  },
  {
   "id": "szz",
   "quantity": "σ_zz at the inner node (0.46, 0.55, 0.53)",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       0.46,
       0.55,
       0.53
      ]
     ]
    },
    "pointer": "/nodes/0/stress/2"
   },
   "value": 3.0,
   "tolerance": {
    "relative": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding"
  },
  {
   "id": "sxy",
   "quantity": "σ_xy at the inner node",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Load",
     "at": [
      [
       0.46,
       0.55,
       0.53
      ]
     ]
    },
    "pointer": "/nodes/0/stress/3"
   },
   "value": 0.0,
   "tolerance": {
    "absolute": 1e-09
   },
   "reason": "a patch test is passed exactly: the tolerance only admits rounding (stresses of order 1)"
  }
 ]
}