Hyperelas4

A cantilever beam undergoing bending deformation in dynamic.

Static Scene

Interactive Scene

Static Scene

Interactive Scene

===== hyperelastic problem at iteration 0 =====
At Newton iteration 1 norm is 1.321961470281e+07
At Newton iteration 2 norm is 9.093944319768e+05
At Newton iteration 3 norm is 1.425886127162e+04
At Newton iteration 4 norm is 1.528342335474e+02
At Newton iteration 5 norm is 1.308350450491e-01
At Newton iteration 6 norm is 2.282536972465e-08


===== hyperelastic problem at iteration 1 =====
At Newton iteration 1 norm is 5.063370201521e+04
At Newton iteration 2 norm is 5.945769422922e+03
At Newton iteration 3 norm is 1.808625373484e+01
At Newton iteration 4 norm is 4.014703411133e-03
At Newton iteration 5 norm is 1.385614188433e-08


===== hyperelastic problem at iteration 2 =====
At Newton iteration 1 norm is 4.978636183250e+03
At Newton iteration 2 norm is 3.685464342497e+04
At Newton iteration 3 norm is 2.448434983804e+01
At Newton iteration 4 norm is 8.768143227018e-05
At Newton iteration 5 norm is 1.410211067259e-08


===== hyperelastic problem at iteration 3 =====
At Newton iteration 1 norm is 8.938665529061e+03
At Newton iteration 2 norm is 7.012222278534e+04
At Newton iteration 3 norm is 7.276664416800e+01
At Newton iteration 4 norm is 1.203266014299e-03
At Newton iteration 5 norm is 1.106949667588e-08


===== hyperelastic problem at iteration 4 =====
At Newton iteration 1 norm is 1.137171002519e+04
At Newton iteration 2 norm is 1.119397616766e+05
At Newton iteration 3 norm is 1.855269808677e+02
At Newton iteration 4 norm is 2.702486307428e-02
At Newton iteration 5 norm is 1.298576476337e-08


===== hyperelastic problem at iteration 5 =====
At Newton iteration 1 norm is 1.171954197748e+04
At Newton iteration 2 norm is 1.595152303518e+05
At Newton iteration 3 norm is 4.163062787086e+02
At Newton iteration 4 norm is 1.100727543078e-02
At Newton iteration 5 norm is 1.467561069364e-08


===== hyperelastic problem at iteration 6 =====
At Newton iteration 1 norm is 1.002040542127e+04
At Newton iteration 2 norm is 1.071125200654e+05
At Newton iteration 3 norm is 1.848234915366e+02
At Newton iteration 4 norm is 5.746142055727e-02
At Newton iteration 5 norm is 2.647926797364e-08


===== hyperelastic problem at iteration 7 =====
At Newton iteration 1 norm is 6.712638577580e+03
At Newton iteration 2 norm is 3.205841852489e+04
At Newton iteration 3 norm is 1.441124162515e+01
At Newton iteration 4 norm is 1.111895360809e-04
At Newton iteration 5 norm is 1.433187803967e-08

Generate movie 1/8 (12.50 %) 681.83 ms
Generate movie 2/8 (25.00 %) 465.49 ms
Generate movie 3/8 (37.50 %) 376.41 ms
Generate movie 4/8 (50.00 %) 306.95 ms
Generate movie 5/8 (62.50 %) 236.25 ms
Generate movie 6/8 (75.00 %) 154.11 ms
Generate movie 7/8 (87.50 %) 77.83 ms
Generate movie 8/8 (100.00 %) 0.00 µs

from EasyFEA import Display, Folder, ElemType, Models, Simulations, PyVista
from EasyFEA.Geoms import Domain

if __name__ == "__main__":
    Display.Clear()

    # ----------------------------------------------
    # Configuration
    # ----------------------------------------------

    # outputs
    folder = Folder.Results_Dir()
    makeMovie = True
    result = "uy"

    # geom
    L = 120
    h = 13

    # model
    lmbda = 121153.84615384616  # Mpa
    mu = 80769.23076923077

    # ----------------------------------------------
    # Mesh
    # ----------------------------------------------
    meshSize = h / 3

    contour = Domain((0, 0), (L, h), meshSize)

    mesh = contour.Mesh_Extrude(
        [], [0, 0, h], [h / meshSize], ElemType.HEXA8, isOrganised=True
    )
    nodesX0 = mesh.Nodes_Conditions(lambda x, y, z: x == 0)
    nodesXL = mesh.Nodes_Conditions(lambda x, y, z: x == L)

    # ----------------------------------------------
    # Simulation
    # ----------------------------------------------

    mat = Models.HyperElastic.SaintVenantKirchhoff(3, lmbda, mu)

    simu = Simulations.HyperElastic(mesh, mat)

    simu.add_dirichlet(nodesX0, [0, 0, 0], simu.Get_unknowns())
    simu.add_dirichlet(nodesXL, [-h], ["y"])

    # static
    simu.Solve()
    simu.Save_Iter()

    # dynamic
    T = 7
    dt = T / 7
    simu.Bc_Init()
    simu.Solver_Set_Hyperbolic_Algorithm(dt)
    simu.add_dirichlet(nodesX0, [0, 0, 0], simu.Get_unknowns())

    for _ in range(int(T / dt)):
        simu.Solve()
        simu.Save_Iter()

    # ----------------------------------------------
    # Results
    # ----------------------------------------------

    PyVista.Plot_BoundaryConditions(simu).show()

    if makeMovie:
        PyVista.Movie_simu(
            simu, "uy", folder, "Hyperelas4.gif", deformFactor=1, plotMesh=True
        )

    PyVista.Plot(simu, "uy", 1, plotMesh=True).show()