.. _sphx_glr_auto_examples_plates:

.. _plate_examples:

Plate Examples
------------------

For more in-depth information about the colormaps available in matplotlib
as well as a description of their properties,
see the :ref:`Tutorials <tutorials>`.



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

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="PatchMesher test for the mixed mesh of triangular and quadrilateral plate elements.">

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  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot09b_quad9_patch_test_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot09b_quad9_patch_test.py`

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      <div class="sphx-glr-thumbnail-title">Patch test for mixed mesh of triangular and quadrilateral plate elements under in-plane loading</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="    v=-5   v=-5      |     |      v     v      3-----2 -&gt; u=5      |\  b | &gt;      | \   | &gt;      |  \  | &gt; (w = 1.0)      |   \ | &gt;      | a  \| &gt;      0-----1 -&gt; u=5">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate01_triangle_test1_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate01_triangle_test1.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">A square patch made of two triangular plate elements</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Basic implementation test with applied loads.     Testing the tangent stiffness computation     for a Triangle (using linear shape functions).">

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  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate02_triangle_test2_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate02_triangle_test2.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">A square patch made of two triangular plate elements</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Basic implementation test with applied loads.     Testing the tangent stiffness computation     for a Triangle6 (using quadratic shape functions).">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate03_triangle_test3_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate03_triangle_test3.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">A square patch made of two triangular plate elements</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Basic implementation test with applied loads.     Testing the tangent stiffness computation.">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate04_quad_test1_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate04_quad_test1.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">A square patch made of one quadrilateral plate elements</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Basic implementation test with applied loads.     Testing the tangent stiffness computation.">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate05_quad_test2_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate05_quad_test2.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">A square patch made of one quadrilateral plate elements</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Basic implementation test with applied loads.     Testing the tangent stiffness computation.">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate06_element_modes_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate06_element_modes.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Element Testing: Analyzing Modes and Energy</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="    v=-5   v=-5      |     |      v     v      3-----2 -&gt; u=5      |\  b | &gt;      | \   | &gt;      |  \  | &gt; (w = 1.0)      |   \ | &gt;      | a  \| &gt;      0-----1 -&gt; u=5">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate07_comparison_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate07_comparison.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">A square patch: element comparison</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="The patch test is an empirical minimum test which every finite element has to pass to ensure convergence with mesh refinement.">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate08_triangle_patch_test_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate08_triangle_patch_test.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Patch test for triangular plate under in-plane loading</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The patch test is an empirical minimum test which every finite element has to pass to ensure convergence with mesh refinement.">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate09_quad_patch_test_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate09_quad_patch_test.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Patch test for quadrilateral plate elements under in-plane loading</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="PatchMesher test for the mixed mesh of triangular and quadrilateral plate elements.">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate10_mixed_mesh_patch_test_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate10_mixed_mesh_patch_test.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Patch test for mixed mesh of triangular and quadrilateral plate elements under in-plane loading</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Using PatchMesher to model a quarter of the plate">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate10_profiler_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate10_profiler.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Profiling the code</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Using PatchMesher to model a quarter of the plate">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate11_plate_w_hole_tri_mesh_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate11_plate_w_hole_tri_mesh.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Pulling a plate with a circular hole : using triangles</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Using PatchMesher to model a quarter of the plate">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate12_plate_w_hole_quad_mesh_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate12_plate_w_hole_quad_mesh.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Pulling a plate with a circular hole : using quads</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Using PatchMesher to model the beam">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate14_cantilever_large_disp_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate14_cantilever_large_disp.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Bending a cantilever beam using Quad elements</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Using PatchMesher to model the beam">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate15_cantilever_large_disp_higher_order_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate15_cantilever_large_disp_higher_order.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Bending a cantilever beam using Quad9 elements</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Features">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate19_benchmark01_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate19_benchmark01.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Benchmark problem: Wedged Plate - geometrically linear theory</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Features">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate20_benchmark01_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate20_benchmark01.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Benchmark problem: Wedged Plate - finite deformations</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Features">

.. only:: html

  .. image:: /auto_examples/plates/images/thumb/sphx_glr_plot_plate21_benchmark01_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plates_plot_plate21_benchmark01.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Benchmark problem: Wedged Plate - finite deformations</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/plates/plot09b_quad9_patch_test
   /auto_examples/plates/plot_plate01_triangle_test1
   /auto_examples/plates/plot_plate02_triangle_test2
   /auto_examples/plates/plot_plate03_triangle_test3
   /auto_examples/plates/plot_plate04_quad_test1
   /auto_examples/plates/plot_plate05_quad_test2
   /auto_examples/plates/plot_plate06_element_modes
   /auto_examples/plates/plot_plate07_comparison
   /auto_examples/plates/plot_plate08_triangle_patch_test
   /auto_examples/plates/plot_plate09_quad_patch_test
   /auto_examples/plates/plot_plate10_mixed_mesh_patch_test
   /auto_examples/plates/plot_plate10_profiler
   /auto_examples/plates/plot_plate11_plate_w_hole_tri_mesh
   /auto_examples/plates/plot_plate12_plate_w_hole_quad_mesh
   /auto_examples/plates/plot_plate14_cantilever_large_disp
   /auto_examples/plates/plot_plate15_cantilever_large_disp_higher_order
   /auto_examples/plates/plot_plate19_benchmark01
   /auto_examples/plates/plot_plate20_benchmark01
   /auto_examples/plates/plot_plate21_benchmark01