.. _sphx_glr_examples_LinearizedElasticity:

.. _easyfea-examples-linearized-elasticity:

Linearized elastic simulations
==============================

Contains examples for ``static``, ``dynamic``, ``contact``, ``homogenization`` and ``mesh optimization``.



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    <div class="sphx-glr-thumbcontainer" tooltip="Performing a &#x27;Hertz contact problem&#x27; with the assumption of frictionless contact The master mesh is considered non-deformable. WARNING: The assumption of small displacements is highly questionable for this simulation.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Contact1_thumb.gif
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  :doc:`/examples/LinearizedElasticity/Contact1`

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      <div class="sphx-glr-thumbnail-title">Contact1</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="A cantilever beam undergoing bending deformation.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas1_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas1`

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      <div class="sphx-glr-thumbnail-title">Elas1</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Bending bracket component.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas2_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas2`

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      <div class="sphx-glr-thumbnail-title">Elas2</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Hydraulic dam subjected to water pressure and its own weight.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas3_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas3`

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      <div class="sphx-glr-thumbnail-title">Elas3</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Plate with a hole subjected to uniform tensile loading.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas4_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas4`

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      <div class="sphx-glr-thumbnail-title">Elas4</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="A cylindrical conduit exposed to uniform pressure.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas5_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas5`

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      <div class="sphx-glr-thumbnail-title">Elas5</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="A bi-fixed beam undergoing bending deformation.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas6_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas6`

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      <div class="sphx-glr-thumbnail-title">Elas6</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Control lever for a molding machine used to blow plastic bottles.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas7_thumb.png
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  :doc:`/examples/LinearizedElasticity/Elas7`

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      <div class="sphx-glr-thumbnail-title">Elas7</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="A cantilever beam undergoing dynamic bending deformation.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas8_thumb.gif
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  :doc:`/examples/LinearizedElasticity/Elas8`

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      <div class="sphx-glr-thumbnail-title">Elas8</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Wave propagation.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Elas9_thumb.gif
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  :doc:`/examples/LinearizedElasticity/Elas9`

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      <div class="sphx-glr-thumbnail-title">Elas9</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Conduct homogenization using an example outlined in &#x27;Computational Homogenization of Heterogeneous Materials with Finite Elements&#x27;.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Homog1_thumb.png
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  :doc:`/examples/LinearizedElasticity/Homog1`

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      <div class="sphx-glr-thumbnail-title">Homog1</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Perform homogenization on several RVE.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Homog2_thumb.png
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  :doc:`/examples/LinearizedElasticity/Homog2`

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      <div class="sphx-glr-thumbnail-title">Homog2</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Conduct full-field homogenization.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Homog3_thumb.png
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  :doc:`/examples/LinearizedElasticity/Homog3`

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      <div class="sphx-glr-thumbnail-title">Homog3</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Conduct 3d homogenization. # Warning: Verify that the periodic boundary conditions have been correctly applied.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Homog4_thumb.png
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  :doc:`/examples/LinearizedElasticity/Homog4`

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      <div class="sphx-glr-thumbnail-title">Homog4</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Verification of energy convergence for a bending beam for all available elements.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_MeshConvergence_thumb.png
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  :doc:`/examples/LinearizedElasticity/MeshConvergence`

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      <div class="sphx-glr-thumbnail-title">MeshConvergence</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Optimization of a happy mesh with quality criteria.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_MeshOptim0_thumb.png
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  :doc:`/examples/LinearizedElasticity/MeshOptim0`

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      <div class="sphx-glr-thumbnail-title">MeshOptim0</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Mesh optimization using the ZZ1 criterion for a bending bracket.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_MeshOptim1_thumb.gif
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  :doc:`/examples/LinearizedElasticity/MeshOptim1`

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      <div class="sphx-glr-thumbnail-title">MeshOptim1</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Mesh optimization with the ZZ1 criterion for a bending part.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_MeshOptim2_thumb.gif
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  :doc:`/examples/LinearizedElasticity/MeshOptim2`

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      <div class="sphx-glr-thumbnail-title">MeshOptim2</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Mesh optimization using the ZZ1 criterion for a letter weigher.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_MeshOptim3_thumb.gif
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  :doc:`/examples/LinearizedElasticity/MeshOptim3`

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      <div class="sphx-glr-thumbnail-title">MeshOptim3</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Modal analysis of a wall structure.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Modal1_thumb.png
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  :doc:`/examples/LinearizedElasticity/Modal1`

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      <div class="sphx-glr-thumbnail-title">Modal1</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Modal analysis of a structure.">

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  .. image:: /examples/LinearizedElasticity/images/thumb/sphx_glr_Modal2_thumb.png
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  :doc:`/examples/LinearizedElasticity/Modal2`

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      <div class="sphx-glr-thumbnail-title">Modal2</div>
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    </div>


.. toctree::
   :hidden:

   /examples/LinearizedElasticity/Contact1
   /examples/LinearizedElasticity/Elas1
   /examples/LinearizedElasticity/Elas2
   /examples/LinearizedElasticity/Elas3
   /examples/LinearizedElasticity/Elas4
   /examples/LinearizedElasticity/Elas5
   /examples/LinearizedElasticity/Elas6
   /examples/LinearizedElasticity/Elas7
   /examples/LinearizedElasticity/Elas8
   /examples/LinearizedElasticity/Elas9
   /examples/LinearizedElasticity/Homog1
   /examples/LinearizedElasticity/Homog2
   /examples/LinearizedElasticity/Homog3
   /examples/LinearizedElasticity/Homog4
   /examples/LinearizedElasticity/MeshConvergence
   /examples/LinearizedElasticity/MeshOptim0
   /examples/LinearizedElasticity/MeshOptim1
   /examples/LinearizedElasticity/MeshOptim2
   /examples/LinearizedElasticity/MeshOptim3
   /examples/LinearizedElasticity/Modal1
   /examples/LinearizedElasticity/Modal2