Elas3

Hydraulic dam subjected to water pressure and its own weight.

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err area = 0.000e+00


==================== Mesh ====================

Element type: TRI6
Ne = 133, Nn = 302

==================== Model ====================

Isotropic:
E = 1.50e+10, v = 0.25
planeStress = False
thickness = 3.60e+02

solver:scipy

============= Boundary Conditions =============

Unspecified.

=================== Results ===================


W def = 620258634.76

Svm max = 2788891.49

Evm max = 0.02 %

Ux max = 2.06e-02
Ux min = 0.00e+00

Uy max = 4.64e-04
Uy min = -9.77e-03

=================== TicTac ===================

Mesh: 10.746 ms
Boundary Conditions: 21.696 µs
Matrix: 4.604 ms
Solver: 2.056 ms
PostProcessing: 489.235 µs

import matplotlib.pyplot as plt
import numpy as np

from EasyFEA import Display, Models, ElemType, Simulations
from EasyFEA.Geoms import Points

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

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

    # geom
    dim = 2
    h = 180  # m (thickness)
    thickness = 2 * h

    # model
    coef = 1e6
    E = 15000 * coef  # Pa (Young's modulus)
    v = 0.25  # Poisson's ratio

    # load
    g = 9.81  # m/s^2 (acceleration due to gravity)
    ro = 2400  # kg/m^3 (density)
    w = 1000  # kg/m^3 (density)

    # ----------------------------------------------
    # Mesh
    # ----------------------------------------------

    contour = Points([(0, 0), (h, 0), (0, h)], h / 10)

    if dim == 2:
        mesh = contour.Mesh_2D([], ElemType.TRI6)
        print(f"err area = {np.abs(mesh.area - h**2 / 2) / mesh.area:.3e}")
    elif dim == 3:
        mesh = contour.Mesh_Extrude([], [0, 0, -thickness], [3], ElemType.PRISM15)
        print(
            f"error volume = {np.abs(mesh.volume - h**2 / 2 * thickness) / mesh.volume:.3e}"
        )

    nodes_x0 = mesh.Nodes_Conditions(lambda x, y, z: x == 0)
    nodes_y0 = mesh.Nodes_Conditions(lambda x, y, z: y == 0)

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

    material = Models.Elastic.Isotropic(
        dim, E, v, planeStress=False, thickness=thickness
    )
    simu = Simulations.Elastic(mesh, material)

    simu.add_dirichlet(nodes_y0, [0] * dim, simu.Get_unknowns())
    simu.add_surfLoad(
        nodes_x0, [lambda x, y, z: w * g * (h - y)], ["x"], description="[w*g*(h-y)]"
    )
    simu.add_volumeLoad(mesh.nodes, [-ro * g], ["y"], description="[-ro*g]")

    sol = simu.Solve()
    simu.Save_Iter()

    # ----------------------------------------------
    # Results
    # ----------------------------------------------
    print(simu)

    Display.Plot_Mesh(simu, h / 10 / np.abs(sol.max()))
    Display.Plot_BoundaryConditions(simu)
    Display.Plot_Result(simu, "Svm", nodeValues=True, coef=1 / coef, ncolors=20)

    plt.show()