.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/LinearizedElasticity/Elas3.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_LinearizedElasticity_Elas3.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_LinearizedElasticity_Elas3.py:


Elas3
=====

Hydraulic dam subjected to water pressure and its own weight.

.. GENERATED FROM PYTHON SOURCE LINES 12-87



.. rst-class:: sphx-glr-horizontal


    *

      .. image-sg:: /examples/LinearizedElasticity/images/sphx_glr_Elas3_001.png
         :alt: TRI6: Ne = 133, Nn = 302
         :srcset: /examples/LinearizedElasticity/images/sphx_glr_Elas3_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/LinearizedElasticity/images/sphx_glr_Elas3_002.png
         :alt: Boundary conditions
         :srcset: /examples/LinearizedElasticity/images/sphx_glr_Elas3_002.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /examples/LinearizedElasticity/images/sphx_glr_Elas3_003.png
         :alt: $\sigma_{vm}$
         :srcset: /examples/LinearizedElasticity/images/sphx_glr_Elas3_003.png
         :class: sphx-glr-multi-img


.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    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: 10.648 ms
    Boundary Conditions: 21.696 µs
    Matrix: 4.702 ms
    Solver: 2.907 ms
    PostProcessing: 591.755 µs






|

.. code-block:: Python
   :lineno-start: 13


    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()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.277 seconds)


.. _sphx_glr_download_examples_LinearizedElasticity_Elas3.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: Elas3.ipynb <Elas3.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: Elas3.py <Elas3.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: Elas3.zip <Elas3.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_