.. _sphx_glr_gallery_elements_solid187:

SOLID187 gallery
================

Runnable SOLID187 (10-node quadratic tetrahedron) examples.


.. raw:: html

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


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

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Single TET10 (10-node quadratic tet) driven by a fully-prescribed displacement field that matches a uniform strain state. Under all-Dirichlet BCs the solve has a unique solution equal to the prescribed field, so the recovered strain tensor matches the analytical one to machine precision. Useful as a self-contained smoke test that TET10 + femorph_solver.Model.eel are in lockstep.">

.. only:: html

  .. image:: /gallery/elements/solid187/images/thumb/sphx_glr_example_solid187_thumb.png
    :alt:

  :doc:`/gallery/elements/solid187/example_solid187`

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      <div class="sphx-glr-thumbnail-title">TET10 — prescribed uniform strain on a 10-node tet</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Renders the ten quadratic-tetrahedron shape functions N_i^c(L) (4 corners) and N_{ij}^m(L) (6 mid-edges) sliced through the \xi_3 = 0 face of the unit tetrahedron.  In volume coordinates L_i (where L_0 = 1 - L_1 - L_2 - L_3) the basis is">

.. only:: html

  .. image:: /gallery/elements/solid187/images/thumb/sphx_glr_example_tet10_shape_function_slices_thumb.png
    :alt:

  :doc:`/gallery/elements/solid187/example_tet10_shape_function_slices`

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      <div class="sphx-glr-thumbnail-title">TET10 shape-function slices on the unit tetrahedron</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Renders the 10-node quadratic tetrahedron&#x27;s reference element \{(\xi_1, \xi_2, \xi_3) : \xi_i \ge 0, \sum_i \xi_i \le 1\}:">

.. only:: html

  .. image:: /gallery/elements/solid187/images/thumb/sphx_glr_example_tet10_reference_geometry_thumb.png
    :alt:

  :doc:`/gallery/elements/solid187/example_tet10_reference_geometry`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">TET10 reference geometry — corner + mid-edge nodes, Keast points</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /gallery/elements/solid187/example_solid187
   /gallery/elements/solid187/example_tet10_shape_function_slices
   /gallery/elements/solid187/example_tet10_reference_geometry