C modeling
==============


Characteristics of modeling
-----------------------------------

A modeling testing the functionalities of contact with friction treated with the continuous method has been implemented. Given the symmetry of the problem, it comprises a quarter of the ring as well as the mesh of a non-deformable plate.


.. image:: images/1000000000000170000001C015F9DD4B7346FD34.png
    :width: 3.8327in
    :height: 4.6661in


.. _RefImage_1000000000000170000001C015F9DD4B7346FD34.png:

**Boundary condition:**

.. csv-table::

    "Symmetry conditions:", "the nodes of group :math:`\mathrm{LAB}` located in the plane :math:`X=0` are blocked in the direction :math:`X` (:math:`\mathrm{DX}=0`),
    the nodes of the group :math:`\mathrm{LCD}` located in the plane :math:`Y=0` are blocked in the direction :math:`Y` (:math:`\mathrm{DY}=0`),
    all the nodes in mesh group :math:`«\mathrm{Plaque}»` are blocked in the direction :math:`X` (:math:`\mathrm{DX}=0`)"


To avoid rigid body movements, nodes :math:`A` and :math:`\mathrm{P1}` have the same vertical displacement.

**Loads:**

Imposed displacement following :math:`Y` on all nodes of the plate: :math:`\mathrm{DY}` varies from :math:`0` to :math:`\mathrm{2,225}\mathrm{cm}`.

(the value of :math:`\mathrm{4,45}\mathrm{cm}` is the vertical approximation of the two symmetric plates).

**Note:**

*The mesh was made in* :math:`\mathrm{cm}` *.*

Characteristics of the mesh
----------------------------

The mesh is identical in every way to the mesh used for B modeling.


Tested sizes and results
------------------------------


.. csv-table::

    "**Identification**", "**Movement**", "**Reference**", "**Reference Type**", "**Tolerance**"
    "Reaction force (:math:`N`)", ":math:`\mathrm{1,1125}\mathit{cm}` ", "—8.01", "'SOURCE_EXTERNE'", "8.9%"
    "Reaction force (:math:`N`)", ":math:`\mathrm{2,2250}\mathit{cm}` "," ", "—16.02", "'SOURCE_EXTERNE'", "3.2%"
    "Reaction force (:math:`N`)", ":math:`\mathrm{3,3375}\mathit{cm}` "," ", "—24.02", "'SOURCE_EXTERNE'", "3.6%"
    "Reaction force (:math:`N`)", ":math:`\mathrm{4,4500}\mathit{cm}` "," ", "—32.03", "'SOURCE_EXTERNE'", "3.8%"
    "Move to :math:`D` (:math:`\mathit{cm}`)", ":math:`\mathrm{2,2250}\mathit{cm}` "", "", "'NON_REGRESSION'", ""
    "Move to :math:`D` (:math:`\mathit{cm}`)", ":math:`\mathrm{4,4500}\mathit{cm}` "", "", "'NON_REGRESSION'", ""
    "Contact pressure in A (:math:`{\mathit{N.cm}}^{\mathrm{-}2}`)", ":math:`\mathrm{2,2250}\mathit{cm}` "", "", "'NON_REGRESSION'", ""
    "Contact pressure in A (:math:`{\mathit{N.cm}}^{\mathrm{-}2}`)", ":math:`\mathrm{4,4500}\mathit{cm}` "", "", "'NON_REGRESSION'", ""



note
--------

The results are very similar to those of B modeling.