E modeling
==============

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

2 TUYAU elements with 4 knots for the tubular section.

.. csv-table::

    "Single pull:", "(ECRO_LINE)"
    "Pure bending:", "without work hardening"


In addition, we block the degrees of freedom that correspond to mode 3 of ovalization: :math:`\mathrm{U03}`, :math:`\mathrm{V03}`, :math:`\mathrm{W03}`


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

2 TUYAU elements (SEG4 mesh)


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

Nodal reactions are tested:

.. csv-table::

    "**Size**", "**Order Number**", "**Node**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    ":math:`\mathrm{DX}` ", "11"," :math:`B` "," "," ANALYTIQUE "," :math:`9.47152E+4` "," :math:`0.10\text{\%}`"
    ":math:`\mathrm{DX}` ", "21"," :math:`B` "," "," ANALYTIQUE "," :math:`9.5653E+4` "," :math:`0.10\text{\%}`"
    ":math:`\mathrm{DRZ}` ", "1"," :math:`B` "," "," ANALYTIQUE "," :math:`4.64217E+3` "," :math:`0.10\text{\%}`"
    ":math:`\mathrm{DRZ}` ", "21"," :math:`B` "," "," ANALYTIQUE "," :math:`5.9106E+3` "," :math:`0.50\text{\%}`"


The deformations, the equivalent deformations and the equivalent stresses are tested respectively:

.. csv-table::

    "Size", "**Order Number**", "**Mesh**", "**Knot**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    ":math:`\mathit{EPYY}` ", "1"," :math:`\mathit{M1}` "," :math:`\mathit{N1}` "," "," NON_REGRESSION "," :math:`\mathrm{-}2.25E\mathrm{-}4` "," :math:`0.01\text{\%}`"
    ":math:`\mathit{INVA}\text{\_2}` ", "1"," :math:`\mathit{M1}` "," :math:`\mathit{N1}` "," "," NON_REGRESSION "," :math:`5.89491E\mathrm{-}4` "," :math:`0.01\text{\%}`"
    ":math:`\mathit{VMIS}` ", "1"," :math:`\mathit{M1}` "," :math:`\mathit{N1}` "," "," NON_REGRESSION "," :math:`0.0` "," :math:`0.10\text{\%}`"
    ":math:`\mathit{KY}` ", "1"," :math:`\mathit{M1}` "," :math:`\mathit{N1}` "," "," ANALYTIQUE "," :math:`\mathrm{-}7.5E\mathrm{-}3` "," :math:`0.10\text{\%}`"



.. csv-table::

    "Size", "**Order Number**", "**Mesh**", "**Point**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    ":math:`\mathit{KY}` ", "1"," :math:`\mathit{M1}` "," :math:`3` "," "," ANALYTIQUE "," :math:`\mathrm{-}7.5E\mathrm{-}3` "," :math:`0.1\text{\%}`"