R modeling
==============


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

Isotropic multilayer plate (5 layers in thickness). Q4G quadrangular shell element

The plate model associated with modeling :math:`Q` is rotated 20 degrees according to the alpha nautical angle and 30 degrees according to beta. The cell numbering is the same as in modeling :math:`Q`.


.. image:: images/1000000000000254000002889D5C9ACAFDE60BC2.png
    :width: 4.0346in
    :height: 4.3866in


.. _RefImage_1000000000000254000002889D5C9ACAFDE60BC2.png:

Boundary conditions:


.. csv-table::

    "DDL_IMPO"
    "(GROUP_NO: AB, DX: 0. , DZ: 0. , DRY :0.)"
    "(GROUP_NO: BC, DY: 0. , DZ: 0. , DRX :0.)"
    "(GROUP_NO: CD, DX: 0. , DZ: 0. , DRY :0.)"
    "(GROUP_NO: DA, DY: 0. , DZ: 0. , DRX :0.)"
    "(GROUP_NO: O, DX: 0. , BY: 0. , DRX :0. , DRY :0. , DRZ :0.)"
    "FORCE_ARETE"
    "(GROUP_NO: AB MY:0.)"
    "(GROUP_NO: BC MX:0.)"
    "(GROUP_NO: CDMY:0.)"
    "(GROUP_NO: BY MAX:0.)"



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

Number of knots: 171

Number of meshes and type: 144 QUAD4


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

.. csv-table::

    "", "**Identification**"
    "**Point** :math:`O` :math:`\mathit{M78}` ", ""
    "**Layer 1**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,,,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on the bottom sheet"
    "**Layer 3**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,,,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on middle sheet"
    "**Layer 5**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,,,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on top sheet"
    "Move", "Vertical arrow :math:`w\mathrm{=}\mathit{DZ}`"
    "**Point** :math:`\mathit{B1}` :math:`\mathit{M6}` ", ""
    "**Layer 1**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,,,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on the bottom sheet"
    "**Layer 3**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,,,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on middle sheet"
    "**Layer 5**", ":math:`{\sigma }_{\mathit{xx}}`, :math:`{\sigma }_{\mathit{yy}}`,,,, :math:`{\sigma }_{\mathit{xy}}`,,, :math:`{\sigma }_{\mathit{xz}}`, :math:`{\sigma }_{\mathit{yz}}` on top sheet"