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

.. only:: html

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

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

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

.. _sphx_glr_auto_examples_cylinder.py:

Compression cylinder setup with a linear elastic constitutive model
===================================================================

This experiment setup models a cylinder under compression with two options for the boundary conditions: free and fixed.
The material model used is a linear elastic constitutive model.

.. GENERATED FROM PYTHON SOURCE LINES 10-30

Parameters
----------
The following parameters can be defined for this setup:

* `E` (Young's modulus)
* `nu` (Poisson's ratio)
* `radius` (radius of the cylinder)
* `height` (height of the cylinder)
* `dim` (dimension of the problem) either 2 or 3
* `degree` (degree of the finite element space) either 1 or 2
* `bc_setting` (boundary condition setting) either 'free' or 'fixed'
* `mesh_density` (mesh density) in 1/m

The parameters must be defined as `pint` objects
Parameters required but not defined are set to default values (from class function default_parameters).

Example code
------------
In this example, we define the parameters for the compression cylinder setup, set the displacement and sensor, and then create the experiment and the problem using `fenicxconcrete`.
Finally, we solve the problem and get the measured reaction force at the bottom of the cylinder.

.. GENERATED FROM PYTHON SOURCE LINES 30-61

.. code-block:: Python


    from fenicsxconcrete.experimental_setup.compression_cylinder import CompressionCylinder
    from fenicsxconcrete.finite_element_problem.linear_elasticity import LinearElasticity
    from fenicsxconcrete.sensor_definition.reaction_force_sensor import ReactionForceSensor
    from fenicsxconcrete.util import ureg

    parameters = {}
    parameters["E"] = 1023 * ureg("MPa")
    parameters["nu"] = 0.0 * ureg("")
    parameters["radius"] = 0.006 * ureg("m")
    parameters["height"] = 0.012 * ureg("m")
    parameters["dim"] = 3 * ureg("")
    parameters["degree"] = 2 * ureg("")
    parameters["bc_setting"] = "fixed" * ureg("")
    parameters["mesh_density"] = 10 * ureg("")

    displacement = -0.003 * ureg("m")
    sensor = ReactionForceSensor()

    experiment = CompressionCylinder(parameters)
    problem = LinearElasticity(experiment, parameters)
    problem.add_sensor(sensor)

    problem.experiment.apply_displ_load(displacement)

    problem.solve()

    measured = problem.sensors[sensor.name].data[0][-1]


    print(f"The reaction force is {abs(measured):.2f} {sensor.units}.")




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

 .. code-block:: none

    The reaction force is 28924.59 newton.





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

   **Total running time of the script:** (0 minutes 13.746 seconds)


.. _sphx_glr_download_auto_examples_cylinder.py:

.. only:: html

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

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

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

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

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

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

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