:orphan:

Examples
==================

Below are examples illustrating fedoo's main features. 
These examples are desgined to serve as tutorials. 
In that sense, an effort is made to keep the scripts simple and executable with 
a low computational cost. The meshes, tolerances and time increment used are coarse 
and the result obtained may not be accurate. 


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Simple examples to start
---------------------------

This section contains several very simple examples that illustrate 
the basics feature of fedoo, like how to create simple meshes, 
apply basics boundary conditions and get the results.



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    <div class="sphx-glr-thumbcontainer" tooltip="3 points bending of an I-Shape beam">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_I_shape_beam_bending_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_I_shape_beam_bending.py`

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      <div class="sphx-glr-thumbnail-title">3 points bending of an I-Shape beam</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Simple example of a plate with hole in tension with 2D plane stress assumption.">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_Plate_with_hole_in_tension_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_Plate_with_hole_in_tension.py`

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      <div class="sphx-glr-thumbnail-title">2D plate with hole in tension</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Define and solve user equation">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_poison_eq_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_poison_eq.py`

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      <div class="sphx-glr-thumbnail-title">Define and solve user equation</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Simple canteleaver beam example using different kind of elements">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_simpleBeamElementExample_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_simpleBeamElementExample.py`

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      <div class="sphx-glr-thumbnail-title">Beam Element Canteleaver Beam</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Canteleaver Beam using 3D hexahedral elements">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_simple_cantilever_beam_3D_model_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_simple_cantilever_beam_3D_model.py`

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      <div class="sphx-glr-thumbnail-title">Canteleaver Beam using 3D hexahedral elements</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="3D Canteleaver Beam with geometric nonlinearities">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_simple_cantilever_beam_3D_model_nlgeom_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_simple_cantilever_beam_3D_model_nlgeom.py`

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      <div class="sphx-glr-thumbnail-title">3D Canteleaver Beam with geometric nonlinearities</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Example that show how to use plate elements with a pressure load.">

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  .. image:: /examples/01-simple/images/thumb/sphx_glr_spherical_shell_compression_thumb.png
    :alt:

  :ref:`sphx_glr_examples_01-simple_spherical_shell_compression.py`

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      <div class="sphx-glr-thumbnail-title">Compression of a ping pong ball</div>
    </div>


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Apply constraints
-------------------------------

This section illustrates on some examples the advanced constraints
that can be applied in fedoo. 


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    <div class="sphx-glr-thumbcontainer" tooltip="2D periodic boundary condition">

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  .. image:: /examples/02-constraints/images/thumb/sphx_glr_Periodic_BC_2D_Plate_with_hole_thumb.png
    :alt:

  :ref:`sphx_glr_examples_02-constraints_Periodic_BC_2D_Plate_with_hole.py`

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      <div class="sphx-glr-thumbnail-title">2D periodic boundary condition</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Contact bewteen a disk and a rectangle">

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  .. image:: /examples/02-constraints/images/thumb/sphx_glr_disk_rectangle_contact_thumb.png
    :alt:

  :ref:`sphx_glr_examples_02-constraints_disk_rectangle_contact.py`

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      <div class="sphx-glr-thumbnail-title">Contact bewteen a disk and a rectangle</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example illustrate the use the pressure constraint for the simulation of a pipe under internal pressure and external pressure. The problem is treated in 2D with plane strain assumption.">

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  .. image:: /examples/02-constraints/images/thumb/sphx_glr_pressurized_pipe_thumb.png
    :alt:

  :ref:`sphx_glr_examples_02-constraints_pressurized_pipe.py`

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      <div class="sphx-glr-thumbnail-title">Pressure constraint</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Rigid tie constraint">

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  .. image:: /examples/02-constraints/images/thumb/sphx_glr_rigid_tie_thumb.png
    :alt:

  :ref:`sphx_glr_examples_02-constraints_rigid_tie.py`

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      <div class="sphx-glr-thumbnail-title">Rigid tie constraint</div>
    </div>


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Advanced problems
-----------------

This section show some advanced capabilities of fedoo.


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    <div class="sphx-glr-thumbcontainer" tooltip="This model uses self-contact, elasto-plastic material law with finite strain assumption in a 2D axisymetric modeling space. The full 3D result is ploted during the post processing phase.">

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  .. image:: /examples/03-advanced/images/thumb/sphx_glr_tube_compression_thumb.png
    :alt:

  :ref:`sphx_glr_examples_03-advanced_tube_compression.py`

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      <div class="sphx-glr-thumbnail-title">Compression of a tube using 2D axisymmetric model</div>
    </div>


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.. toctree::
   :hidden:
   :includehidden:


   /examples/01-simple/index.rst
   /examples/02-constraints/index.rst
   /examples/03-advanced/index.rst


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  .. container:: sphx-glr-footer sphx-glr-footer-gallery

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

      :download:`Download all examples in Python source code: examples_python.zip </examples/examples_python.zip>`

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

      :download:`Download all examples in Jupyter notebooks: examples_jupyter.zip </examples/examples_jupyter.zip>`


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