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

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

.. _sphx_glr_auto_examples_DP_vs_MC.py:


=============================================================
Plot in 2D the Mohr-Coulomb and Drucker-Prager yield surface
=============================================================

The example illustrates in 2D the differences between the Mohr-Coulomb and the Drucker-Prager yield criteria.

.. GENERATED FROM PYTHON SOURCE LINES 9-14

.. code-block:: Python

    from elasticipy.yield_criteria import DruckerPrager, MohrCoulomb
    c   = 2
    phi = -20
    mc = MohrCoulomb(c, phi)








.. GENERATED FROM PYTHON SOURCE LINES 15-18

When expressed in terms of cohesion (c) and friction angle (phi), there are three ways to 'fit' the Drucker-Prager
(DP) yield criterion with that of Mohr-Coulomb
(see `here <https://en.wikipedia.org/wiki/Drucker%E2%80%93Prager_yield_criterion#Expressions_in_terms_of_cohesion_and_friction_angle>`_):

.. GENERATED FROM PYTHON SOURCE LINES 18-31

.. code-block:: Python


    pg1 = DruckerPrager.from_cohesion_friction_angle(c, phi, fit='inside')
    pg2 = DruckerPrager.from_cohesion_friction_angle(c, phi, fit='middle')
    pg3 = DruckerPrager.from_cohesion_friction_angle(c, phi, fit='outside')

    fig, ax = mc.plot2D()
    fig, ax = pg1.plot2D(fig=fig, ax=ax, label='DP (inside)', color='green', alpha=0., linestyle='dashed')
    fig, ax = pg2.plot2D(fig=fig, ax=ax, label='DP (middle)', color='blue', alpha=0., linestyle='dotted')
    fig, ax = pg3.plot2D(fig=fig, ax=ax, label='DP (outside)', color='black', alpha=0., linestyle='dashdot')
    ax.legend()
    fig.show()





.. image-sg:: /auto_examples/images/sphx_glr_DP_vs_MC_001.png
   :alt: DP vs MC
   :srcset: /auto_examples/images/sphx_glr_DP_vs_MC_001.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.644 seconds)


.. _sphx_glr_download_auto_examples_DP_vs_MC.py:

.. only:: html

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

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

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

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

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

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

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


.. only:: html

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

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