D modeling
==============

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

2 TUYAU elements for the tubular section.

.. csv-table::

    "Simple traction:", "(ECRO_NLréduit to linear work hardening)"
    "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 elements TUYAU (METUSEG3)


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

Nodal reactions are tested:

.. csv-table::

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


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

.. csv-table::

    "**Size**", "**Mesh**", "**Node**", "**Order Number**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    ":math:`\mathrm{EPYY}` "," :math:`\mathrm{SC1}` "," :math:`\mathrm{C1}` ", "1", "1"," NON_REGRESSION "," :math:`-2.25E-4` "," :math:`0.01\text{\%}`"
    ":math:`{\mathrm{INVA}}_{2}` "," :math:`\mathrm{SC1}` "," :math:`\mathrm{C1}` ", "1", "1"," NON_REGRESSION "," :math:`5.89491E-4` "," :math:`0.01\text{\%}`"
    ":math:`\mathrm{VMIS}` "," :math:`\mathrm{SC1}` "," :math:`\mathrm{C1}` ", "1", "1"," NON_REGRESSION "," :math:`0.0` "," :math:`0.10\text{\%}`"