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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_api_gallery_materials_plot_materials_models.py>`
        to download the full example code or to run this example in your browser via JupyterLite.

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

.. _sphx_glr_api_gallery_materials_plot_materials_models.py:


Voigt and Reuss composite bounds
================================

Compute an inspectable engineering model using SI inputs.
See the linked domain guide for assumptions and benchmark checks.

.. GENERATED FROM PYTHON SOURCE LINES 8-24



.. image-sg:: /api/gallery/materials/images/sphx_glr_plot_materials_models_001.png
   :alt: plot materials models
   :srcset: /api/gallery/materials/images/sphx_glr_plot_materials_models_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    from engineeringkit.materials import rule_of_mixtures_E_longitudinal, rule_of_mixtures_E_transverse

    fraction = np.linspace(0, 1, 101)
    upper = [rule_of_mixtures_E_longitudinal(200e9, 3e9, f) / 1e9 for f in fraction]
    lower = [rule_of_mixtures_E_transverse(200e9, 3e9, f) / 1e9 for f in fraction]
    fig, ax = plt.subplots()
    ax.plot(fraction, upper, label="longitudinal / Voigt")
    ax.plot(fraction, lower, label="transverse / Reuss")
    ax.set(xlabel="fibre volume fraction", ylabel="modulus [GPa]")
    ax.legend()

    plt.show()


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

   **Total running time of the script:** (0 minutes 0.086 seconds)


.. _sphx_glr_download_api_gallery_materials_plot_materials_models.py:

.. only:: html

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

    .. container:: lite-badge

      .. image:: images/jupyterlite_badge_logo.svg
        :target: ../../../lite/lab/index.html?path=api/gallery/materials/plot_materials_models.ipynb
        :alt: Launch JupyterLite
        :width: 150 px

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

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

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

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

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

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


.. only:: html

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

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