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


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

The reinforcing plies on the lower and upper faces are represented by an equivalent membrane model. The stiffness coefficients of this membrane are calculated by a homogenization method detailed in reference :ref:`[1] <RefNumPara__23543_14344714>`. The value of these coefficients is specified in the table below:


.. csv-table::

    "**Parameter**", "**Value (Pa.m)**"
    ":math:`{M}_{\mathit{LLLL}}` ", "5.46223E8"
    ":math:`{M}_{\mathit{LLTT}}` ", "3.90776E7"
    ":math:`{M}_{\mathit{TTTT}}` ", "1.23452E8"
    ":math:`{M}_{\mathit{LTLT}}` ", "5.73664E7"


These coefficients are expressed in the global coordinate system (zero nautical angles of rotation of the coordinate system).


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

The mesh contains 12712 nodes, 8018 quadratic tetrahedra (TETRA10), and 500 quadratic triangles (TRIA6) to represent the reinforcing layers.


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

The vertical displacement at the end of the plate, as well as the deformation and the stress in the membrane at the end of the plate, are tested.


.. csv-table::

    "**Identification**", "**Component**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    "DEPL — POINT_1 ", "DZ", "'AUTRE_ASTER'", "-87.1E-6"," 0.3%"



.. csv-table::

    "**Identification**", "**Component**", "**Reference Type**", "**Tolerance**"
    "DEPL — POINT_1 ", "DZ", "'NON_REGRESSION'", "1.E-6"
    "EPSI_NOEU — POINT_2 "," EXX ", "'NON_REGRESSION'", "1.E-6"
    "SIEF_NOEU — POINT_2 "," NXX ", "'NON_REGRESSION'", "1.E-6"