.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/Yield_surfaces.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_Yield_surfaces.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_Yield_surfaces.py:


===========================================================
Plot the Tresca hexagon and the von Mises ellipse
===========================================================

We plot the elastic domain, with respect to the von Mises and Tresca criteria, on one single
Matplotlib axis.

.. note::

    This somehow replicates the figure shown on wikipedia to illustrate the difference between those
    criteria (see `here <https://en.wikipedia.org/wiki/Yield_surface#von_Mises_yield_surface>`_).

.. GENERATED FROM PYTHON SOURCE LINES 14-25



.. image-sg:: /auto_examples/images/sphx_glr_Yield_surfaces_001.png
   :alt: Yield surfaces
   :srcset: /auto_examples/images/sphx_glr_Yield_surfaces_001.png
   :class: sphx-glr-single-img





.. code-block:: Python

    from elasticipy.yield_criteria import VonMisesCriterion, TrescaCriterion

    sigma_y = 100 # yield stress
    mises = VonMisesCriterion(yield_stress=sigma_y)
    tresca = TrescaCriterion(yield_stress=sigma_y)
    fig, ax = mises.plot2D()
    fig, ax = tresca.plot2D(fig=fig, ax=ax, color='blue')
    ax.legend()
    fig.show()




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

   **Total running time of the script:** (0 minutes 0.543 seconds)


.. _sphx_glr_download_auto_examples_Yield_surfaces.py:

.. only:: html

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

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

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

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

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

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

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


.. only:: html

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

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