{
  "case": "Bigoni doubly clamped antisymmetric elastica",
  "citation": "D. Bigoni, Extremely Deformable Structures, CISM 562 (2015), equations (58), (86), (89), and (95), DOI 10.1007/978-3-7091-1877-1",
  "scope": "Equilibrium centerline of the stable antisymmetric second branch at prescribed shortening; automatic bifurcation, snap-through, and reaction magnitude are not validated by this case",
  "geometry": {
    "length_m": 0.49,
    "width_m": 0.025,
    "thickness_m": 0.0015,
    "imperfection_m": 0.00098,
    "normalized_end_shortening": 1.2
  },
  "material": {
    "youngs_modulus_Pa": 3000000000.0,
    "poisson_ratio": 0.35
  },
  "mesh": {
    "element": "Hex8",
    "divisions": [
      160,
      4,
      2
    ],
    "nodes": 2415,
    "elements": 1280
  },
  "reference": {
    "model": "Inextensible Euler elastica boundary-value equations from Bigoni (2015)",
    "dimensionless_axial_force_parameter": -27.78103217432951,
    "dimensionless_transverse_force_parameter": 53.58477012211843,
    "bvp_max_rms_residual": 9.962001993908073e-10,
    "lower_lobe_z_over_L": -0.1593293298515696,
    "upper_lobe_z_over_L": 0.15932932985156958
  },
  "computed": {
    "lower_lobe_z_over_L": -0.15962467895928636,
    "upper_lobe_z_over_L": 0.15962467895929353,
    "deformed_centerline_length_over_L": 1.0000878586036759,
    "max_displacement_m": 0.5880763207668543,
    "max_von_mises_Pa": 35287337.54611884,
    "reaction_tags": [
      1,
      2
    ],
    "reaction_forces_N": [
      [
        -8.284629237351837,
        -1.2610745780960997e-13,
        685.4181214775027
      ],
      [
        8.28462923741978,
        -3.0413155327480013e-10,
        -685.4181214805104
      ]
    ]
  },
  "max_centerline_error_pct_L": 0.07845761083608978,
  "rms_centerline_error_pct_L": 0.055706900773364675,
  "shape_error_limit_pct_L": 5.0,
  "pass": true
}