.. _sphx_glr_gallery_elements_solid186:

SOLID186 gallery
================

Runnable SOLID186 (20-node serendipity hex) examples.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Single HEX20 brick (a unit cube, 20 nodes including the mid-edge nodes of the serendipity family) loaded in uniaxial tension.  The consistent-load vector for a serendipity 8-node face has corner weight -1/12 and mid-edge weight +1/3; applying these produces a uniform σxx field, so εxx = σ/E and εyy = εzz = −ν·εxx exactly at every node.">

.. only:: html

  .. image:: /gallery/elements/solid186/images/thumb/sphx_glr_example_solid186_thumb.png
    :alt:

  :doc:`/gallery/elements/solid186/example_solid186`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">HEX20 — uniaxial tension on a 20-node hex</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Renders the 20-node serendipity hexahedron&#x27;s reference element \hat\Omega = [-1, 1]^3:">

.. only:: html

  .. image:: /gallery/elements/solid186/images/thumb/sphx_glr_example_hex20_reference_geometry_thumb.png
    :alt:

  :doc:`/gallery/elements/solid186/example_hex20_reference_geometry`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">HEX20 reference geometry — corner + mid-edge nodes, Gauss points</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Renders the eight HEX20 serendipity shape functions that do not vanish on the \zeta = -1 face of the reference cube \hat\Omega = [-1, +1]^3: four corner functions N^c_i whose nodes lie on that face, plus four mid-edge functions N^m_j whose mid-edge nodes lie on the same face.  The other twelve basis functions (top-face corners, top-face mid-edges, and the four vertical-edge mid-edges with \zeta_j = 0) all vanish at \zeta = -1 and are omitted from the figure.">

.. only:: html

  .. image:: /gallery/elements/solid186/images/thumb/sphx_glr_example_hex20_shape_function_slices_thumb.png
    :alt:

  :doc:`/gallery/elements/solid186/example_hex20_shape_function_slices`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">HEX20 shape-function slices on the bottom face</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /gallery/elements/solid186/example_solid186
   /gallery/elements/solid186/example_hex20_reference_geometry
   /gallery/elements/solid186/example_hex20_shape_function_slices