.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/Hyperelasticity/Hyperelas1.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_examples_Hyperelasticity_Hyperelas1.py>`
        to download the full example code.

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

.. _sphx_glr_examples_Hyperelasticity_Hyperelas1.py:


Hyperelas1
==========

A cantilever beam undergoing bending deformation.

.. GENERATED FROM PYTHON SOURCE LINES 12-65







.. tab-set::



   .. tab-item:: Static Scene



            
     .. image-sg:: /examples/Hyperelasticity/images/sphx_glr_Hyperelas1_001.png
        :alt: Hyperelas1
        :srcset: /examples/Hyperelasticity/images/sphx_glr_Hyperelas1_001.png
        :class: sphx-glr-single-img
     


   .. tab-item:: Interactive Scene



       .. offlineviewer:: /home/docs/checkouts/readthedocs.org/user_builds/easyfea/checkouts/v1.8.0/docs/examples/Hyperelasticity/images/sphx_glr_Hyperelas1_001.vtksz






.. tab-set::



   .. tab-item:: Static Scene



            
     .. image-sg:: /examples/Hyperelasticity/images/sphx_glr_Hyperelas1_002.png
        :alt: Hyperelas1
        :srcset: /examples/Hyperelasticity/images/sphx_glr_Hyperelas1_002.png
        :class: sphx-glr-single-img
     


   .. tab-item:: Interactive Scene



       .. offlineviewer:: /home/docs/checkouts/readthedocs.org/user_builds/easyfea/checkouts/v1.8.0/docs/examples/Hyperelasticity/images/sphx_glr_Hyperelas1_002.vtksz



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

 .. code-block:: none

    

    ===== hyperelastic problem at iteration 0 =====
    At Newton iteration 1 norm is 2.871866871895e+02
    At Newton iteration 2 norm is 5.537584333550e+03
    At Newton iteration 3 norm is 4.394345963119e-01
    At Newton iteration 4 norm is 1.725001838936e-08






|

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


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

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

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

        # geom
        L = 120
        h = 13

        # model
        lmbda = 121153.84615384616  # Mpa
        mu = 80769.23076923077
        rho = 7850 * 1e-9  # kg/mm3

        # ----------------------------------------------
        # Mesh
        # ----------------------------------------------
        meshSize = h / 2

        contour = Domain((0, 0), (L, h), h / 3)

        mesh = contour.Mesh_Extrude(
            [], [0, 0, h], [h / meshSize], ElemType.HEXA20, 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_volumeLoad(mesh.nodes, [-rho * 9.81], ["y"])
        simu.add_surfLoad(nodesXL, [-800 / h / h], ["y"])

        simu.Solve()

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

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


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

   **Total running time of the script:** (0 minutes 1.084 seconds)


.. _sphx_glr_download_examples_Hyperelasticity_Hyperelas1.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: Hyperelas1.ipynb <Hyperelas1.ipynb>`

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

      :download:`Download Python source code: Hyperelas1.py <Hyperelas1.py>`

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

      :download:`Download zipped: Hyperelas1.zip <Hyperelas1.zip>`


.. only:: html

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

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