Hertzian contact (2D)
'''''''''''''''''''''

:Sources:

.. collapse:: contact_explicit_dynamic.cc (click to expand)

.. literalinclude:: examples/c++/contact_mechanics_model/hertz/contact_explicit_dynamic.cc
:language: c++
:lines: 20-

.. collapse:: contact_explicit_static.cc (click to expand)

.. literalinclude:: examples/c++/contact_mechanics_model/hertz/contact_explicit_static.cc
:language: c++
:lines: 20-

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

.. literalinclude:: examples/c++/contact_mechanics_model/hertz/material.dat
:language: text

:Location:

``examples/c++/contact_mechanics_model/`` `hertz <https://gitlab.com/akantu/akantu/-/blob/master/examples/c++/contact_mechanics_model/hertz>`_


`contact_explicit_static` and `contact_explicit_dynamic` are solving a 2D Hertz contact patch test using the ``CouplerSolidContact``.
The two examples follow what is described extensively in section :ref:`sect-cmm-coupling-with-smm`. The only main difference between `contact_explicit_static` and `contact_explicit_dynamic` is the solver used::

// for contact_explicit_static
coupler.initFull(_analysis_method = _static);
// for contact_explicit_dynamic
coupler.initFull(_analysis_method = _explicit_lumped_mass);

The ``material.dat`` file contain a ``contact_detector`` and a ``contact_resolution penalty_linear`` section as explains in section :ref:`sect-cmm-contact-detection`.

.. figure:: examples/c++/contact_mechanics_model/hertz/images/hertz.svg
:align: center
:width: 60%

.. figure:: examples/c++/contact_mechanics_model/hertz/images/hertz.png
:align: center
:width: 60%