{
 "title": "MacNeal–Harder thick-walled cylinder, nearly incompressible (hex8 with incompatible modes)",
 "kind": "benchmark",
 "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. 10 (p. 9) geometry, material and radial mesh; Table 5(c) (p. 11) radial displacements at the inner radius",
 "quantities": [
  {
   "id": "ur_1",
   "quantity": "radial displacement at the inner radius, ν = 0.49",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Pressure",
     "at": [
      [
       3.0,
       0,
       0.0
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/0"
   },
   "value": 0.0050399,
   "tolerance": {
    "relative": 0.02
   },
   "reason": "MacNeal and Harder grade an element A within 2% of the theoretical value on this prescribed coarse mesh (p. 14)"
  },
  {
   "id": "ur_2",
   "quantity": "radial displacement at the inner radius, ν = 0.499",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Pressure",
     "at": [
      [
       3.0,
       0,
       2.0
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/0"
   },
   "value": 0.0050602,
   "tolerance": {
    "relative": 0.02
   },
   "reason": "MacNeal and Harder grade an element A within 2% of the theoretical value on this prescribed coarse mesh (p. 14)"
  },
  {
   "id": "ur_3",
   "quantity": "radial displacement at the inner radius, ν = 0.4999",
   "measure": {
    "command": "solve.probe",
    "params": {
     "step": "Pressure",
     "at": [
      [
       3.0,
       0,
       4.0
      ]
     ]
    },
    "pointer": "/nodes/0/displacement/0"
   },
   "value": 0.0050623,
   "tolerance": {
    "relative": 0.02
   },
   "reason": "MacNeal and Harder grade an element A within 2% of the theoretical value on this prescribed coarse mesh (p. 14)"
  }
 ]
}