plate_hole (2D)
'''''''''''''''

:Sources:

.. collapse:: plate.py (click to expand)

.. literalinclude:: examples/python/solid_mechanics_model/plate-hole/plate.py
:language: python
:lines: 9-

.. collapse:: material.dat (click to expand)

.. literalinclude:: examples/python/solid_mechanics_model/plate-hole/material.dat
:language: text

:Location:

``examples/python/solid_mechanics_model/`` `plate-hole <https://gitlab.com/akantu/akantu/-/blob/master/examples/python/solid_mechanics_model/plate-hole/>`_

In ``plate_hole``, an example of a static solution of a loaded plate with a hole. Because of the symmetries, only a quarter of the problem is modeled. The corresponding domain and boundary conditions is shown in :numref:`fig-ex-plate_hole`.
The static solver is initialized with:

.. code-block:: python

model.initFull(_analysis_method=aka._static)

Boundary conditions are applied with:

.. code-block:: python

model.applyBC(aka.FixedValue(0.0, aka._x), "XBlocked")
model.applyBC(aka.FixedValue(0.0, aka._y), "YBlocked")
model.applyBC(aka.FromTraction(trac), "Traction")

where ``trac`` is a numpy array of size ``spatial_dimension``.

Additionally, the simulation can be run in parallel. To do so, the following lines are added:

.. code-block:: python

try:
from mpi4py import MPI
comm = MPI.COMM_WORLD
prank = comm.Get_rank()
except ImportError:
prank = 0

Similarly to C++, the mesh has to be distributed between the processors with::

mesh.distribute()

.. _fig-ex-plate_hole:
.. figure:: examples/python/solid_mechanics_model/plate-hole/images/plate_hole.svg
:align: center
:width: 30%

Plate with a hole geometry.

The displacement magnitude is displayed in :numref:`fig-ex-plate_hole_displ`.

.. _fig-ex-plate_hole_displ:
.. figure:: examples/python/solid_mechanics_model/plate-hole/images/plate_hole_displ_mag.png
:align: center
:width: 40%

Displacement magnitude.