K modeling
==============


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

The modeling is 3D, only the edge of the frame is represented. Two calculations are performed with different pairing options, contact algorithms, and linear solvers.


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


.. image:: images/10000000000003DA00000321EAB10CE6CBDC842F.png
    :width: 4.3465in
    :height: 3.4528in


.. _RefImage_10000000000003DA00000321EAB10CE6CBDC842F.png:

Number of knots: 1236

Number of meshes and types: 526 TETRA10 for the plate and 32 TRIA6 for the frame.


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

First calculation (controlled geometric update, node matching, algorithm 'PENALISATION', solver 'MULT_FRONT')


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{DX}` at the point :math:`A` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.86E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`C` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.28E-5", "5.0%"


Second calculation (controlled geometric updating, nodal matching, algorithm 'PENALISATION', solver 'LDLT')


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{DX}` at the point :math:`A` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.86E-5", "5.0%"
    ":math:`\mathit{DX}` at the point :math:`C` instant :math:`1.0` ", "'SOURCE_EXTERNE'", "2.28E-5", "5.0%"



notes
---------

The results obtained in this unstructured quadratic 3D modeling are close to the reference.

The difference with the previous models is a higher penalty coefficient (high friction penalty coefficient ahead of :math:`a\ast E`).

The 3D problem gives results identical to 2D following the blocking of the degrees of freedom following :math:`\mathit{DZ}`.