:orphan:

.. _examples:

Examples
========

A gallery of examples. Coarse meshes are used whenever possible to make the examples run
fast. Some examples require external packages to be installed.


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


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

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    <div class="sphx-glr-thumbcontainer" tooltip="   * create a solid body and apply the gravity load">

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  .. image:: /examples/images/thumb/sphx_glr_ex01_beam_thumb.png
    :alt:

  :doc:`/examples/ex01_beam`

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      <div class="sphx-glr-thumbnail-title">Cantilever beam under gravity</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * create and mesh a plate with a hole">

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  .. image:: /examples/images/thumb/sphx_glr_ex02_plate-with-hole_thumb.png
    :alt:

  :doc:`/examples/ex02_plate-with-hole`

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      <div class="sphx-glr-thumbnail-title">Plate with a Hole</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * linear-elastic plastic material formulation with isotropic hardening">

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  .. image:: /examples/images/thumb/sphx_glr_ex03_plasticity_thumb.png
    :alt:

  :doc:`/examples/ex03_plasticity`

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      <div class="sphx-glr-thumbnail-title">Plasticity with Isotropic Hardening</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * use FElupe with contique">

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  .. image:: /examples/images/thumb/sphx_glr_ex04_balloon_thumb.png
    :alt:

  :doc:`/examples/ex04_balloon`

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      <div class="sphx-glr-thumbnail-title">Inflation of a hyperelastic balloon</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * create and stack meshes">

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  .. image:: /examples/images/thumb/sphx_glr_ex05_rubber-metal-bushing_thumb.png
    :alt:

  :doc:`/examples/ex05_rubber-metal-bushing`

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      <div class="sphx-glr-thumbnail-title">Elastic bearing with torsional loading</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * read a mesh file">

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  .. image:: /examples/images/thumb/sphx_glr_ex06_rubber-metal-spring_thumb.png
    :alt:

  :doc:`/examples/ex06_rubber-metal-spring`

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


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    <div class="sphx-glr-thumbcontainer" tooltip="   * read and combine mesh files">

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  .. image:: /examples/images/thumb/sphx_glr_ex07_engine-mount_thumb.png
    :alt:

  :doc:`/examples/ex07_engine-mount`

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


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    <div class="sphx-glr-thumbcontainer" tooltip="   * define a non-homogeneous shear loadcase">

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  .. image:: /examples/images/thumb/sphx_glr_ex08_shear_thumb.png
    :alt:

  :doc:`/examples/ex08_shear`

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      <div class="sphx-glr-thumbnail-title">Non-homogeneous shear</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="With the help of contique (install with pip install contique) it is possible to apply a numerical parameter continuation algorithm on any system of equilibrium equations. This example demonstrates the usage of FElupe in conjunction with contique. An unstable isotropic hyperelastic material formulation is applied on a single hexahedron. The model will be visualized and the resulting force - displacement curve will be plotted.">

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  .. image:: /examples/images/thumb/sphx_glr_ex09_numeric-continuation_thumb.png
    :alt:

  :doc:`/examples/ex09_numeric-continuation`

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


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    <div class="sphx-glr-thumbcontainer" tooltip="   \text{div}(\boldsymbol{\nabla} u) + f = 0 \quad \text{in} \quad \Omega">

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  .. image:: /examples/images/thumb/sphx_glr_ex10_poisson-equation_thumb.png
    :alt:

  :doc:`/examples/ex10_poisson-equation`

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


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    <div class="sphx-glr-thumbcontainer" tooltip="   * create a hexahedron mesh">

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  .. image:: /examples/images/thumb/sphx_glr_ex11_notch-stress_thumb.png
    :alt:

  :doc:`/examples/ex11_notch-stress`

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


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    <div class="sphx-glr-thumbcontainer" tooltip="   .. code-block::">

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  .. image:: /examples/images/thumb/sphx_glr_ex12_foot-bone_thumb.png
    :alt:

  :doc:`/examples/ex12_foot-bone`

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      <div class="sphx-glr-thumbnail-title">Voxelized Foot Bones</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="    \boldsymbol{C} &amp;= \boldsymbol{F}^T \boldsymbol{F}">

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  .. image:: /examples/images/thumb/sphx_glr_ex13_morph-rubber-wheel_thumb.png
    :alt:

  :doc:`/examples/ex13_morph-rubber-wheel`

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      <div class="sphx-glr-thumbnail-title">Rotating Rubber Wheel</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * define a strain-energy function for a hyperelastic material formulation">

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  .. image:: /examples/images/thumb/sphx_glr_ex14_hyperelasticity_thumb.png
    :alt:

  :doc:`/examples/ex14_hyperelasticity`

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      <div class="sphx-glr-thumbnail-title">Best-fit Hyperelastic Material Parameters</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * apply felupe-api-mesh">

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  .. image:: /examples/images/thumb/sphx_glr_ex15_hexmesh-metacone_thumb.png
    :alt:

  :doc:`/examples/ex15_hexmesh-metacone`

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      <div class="sphx-glr-thumbnail-title">Script-based Hex-meshing with revolve</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * compression of a hyperelastic axisymmetric cylinder">

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  .. image:: /examples/images/thumb/sphx_glr_ex16_deeplearning-torch_thumb.png
    :alt:

  :doc:`/examples/ex16_deeplearning-torch`

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      <div class="sphx-glr-thumbnail-title">Train a deep neural network</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * assign non-homogeneous displacements to a boundary condition">

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  .. image:: /examples/images/thumb/sphx_glr_ex17_torsion-gif_thumb.gif
    :alt:

  :doc:`/examples/ex17_torsion-gif`

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      <div class="sphx-glr-thumbnail-title">Animated torsional-shear loading</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Uniaxial loading/unloading of a viscoelastic material (VHB 4910)">

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  .. image:: /examples/images/thumb/sphx_glr_ex18_nonlinear-viscoelasticity-newton_thumb.png
    :alt:

  :doc:`/examples/ex18_nonlinear-viscoelasticity-newton`

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      <div class="sphx-glr-thumbnail-title">Uniaxial loading/unloading of a viscoelastic material (VHB 4910)</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Mixed-field hyperelasticity with quadratic triangles">

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  .. image:: /examples/images/thumb/sphx_glr_ex19_taylor-hood_thumb.png
    :alt:

  :doc:`/examples/ex19_taylor-hood`

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      <div class="sphx-glr-thumbnail-title">Mixed-field hyperelasticity with quadratic triangles</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * create a mesh container with multiple meshes">

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  .. image:: /examples/images/thumb/sphx_glr_ex20_third-medium-contact_thumb.png
    :alt:

  :doc:`/examples/ex20_third-medium-contact`

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      <div class="sphx-glr-thumbnail-title">Third Medium Contact</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * use FElupe with contique">

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  .. image:: /examples/images/thumb/sphx_glr_ex21_nonlinear-truss-analysis_thumb.png
    :alt:

  :doc:`/examples/ex21_nonlinear-truss-analysis`

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      <div class="sphx-glr-thumbnail-title">Nonlinear Truss Analysis</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="   * use SolidBodyThermal and      SolidBodySurfaceHeatTransfer">

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  .. image:: /examples/images/thumb/sphx_glr_ex22_solid_body_thermal_thumb.png
    :alt:

  :doc:`/examples/ex22_solid_body_thermal`

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


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    </div>


.. toctree::
   :hidden:

   /examples/ex01_beam
   /examples/ex02_plate-with-hole
   /examples/ex03_plasticity
   /examples/ex04_balloon
   /examples/ex05_rubber-metal-bushing
   /examples/ex06_rubber-metal-spring
   /examples/ex07_engine-mount
   /examples/ex08_shear
   /examples/ex09_numeric-continuation
   /examples/ex10_poisson-equation
   /examples/ex11_notch-stress
   /examples/ex12_foot-bone
   /examples/ex13_morph-rubber-wheel
   /examples/ex14_hyperelasticity
   /examples/ex15_hexmesh-metacone
   /examples/ex16_deeplearning-torch
   /examples/ex17_torsion-gif
   /examples/ex18_nonlinear-viscoelasticity-newton
   /examples/ex19_taylor-hood
   /examples/ex20_third-medium-contact
   /examples/ex21_nonlinear-truss-analysis
   /examples/ex22_solid_body_thermal



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

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