Modeling A
==============


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

A modeling testing the functionalities of knot-to-mesh contact (DEFI_CONTACT) without friction treated with the active stress method was 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` (DX=0),
    the nodes of the group :math:`\mathrm{LCD}` located in the plane :math:`Y=0` are blocked in the direction :math:`Y` (DY=0),
    all the nodes in mesh group :math:`«\mathrm{Plaque}»` are blocked in the direction :math:`X` (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).

**Notes:**

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


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

The ring and the plate are meshed in elements QUAD4, and the plate is rigid because all these nodes have the same imposed displacement.

Number of knots: 290

Number of meshes and type: 241 QUAD4 and 96 SEG2


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


+--------------------------------------------------+-----------+--------------+---------------+
|**Identification**                                |**Moments**|**Reference** |**% tolerance**|
+--------------------------------------------------+-----------+--------------+---------------+
|reaction force (:math:`N`)                        |           |—8.01         |7.8            |
+--------------------------------------------------+-----------+--------------+---------------+
|reaction force (:math:`N`)                        |           |—16.02        |1.8            |
+--------------------------------------------------+-----------+--------------+---------------+
|reaction force (:math:`N`)                        |           |—24.02        |1.3            |
+--------------------------------------------------+-----------+--------------+---------------+
|reaction force (:math:`N`)                        |           |—32.03        |1.9            |
+--------------------------------------------------+-----------+--------------+---------------+
|DX (GROUP_NO ='D') (:math:`\mathrm{cm}`)          |           |NON_REGRESSION                |
+--------------------------------------------------+-----------+                              +
|DX (GROUP_NO ='D') (:math:`\mathrm{cm}`)          |           |                              |
+--------------------------------------------------+-----------+                              +
|SIXX (GROUP_NO ='A') (:math:`N/{\mathrm{cm}}^{2}`)|           |                              |
+--------------------------------------------------+-----------+                              +
|SIXX (GROUP_NO ='A') (:math:`N/{\mathrm{cm}}^{2}`)|           |                              |
+--------------------------------------------------+-----------+--------------+---------------+


notes
----------

We have illustrated the deformation of the ring at the time step corresponding to a displacement of :math:`\mathrm{4,45}\mathrm{cm}`:


.. image:: images/10000000000001F800000136B80C27B282FEE23E.jpg
    :width: 5.25in
    :height: 3.2291in


.. _refImage_10000000000001f800000136b80c27b282 FEE23E .jpg: