Modélisation A
==============


Caractéristiques de la modélisation
-----------------------------------

**COQUE_3D**


.. image:: images/1000000000000447000003137BAA9D5F4C915881.png
    :width: 6.8437in
    :height: 4.9189in


.. _RefImage_1000000000000447000003137BAA9D5F4C915881.png:


Caractéristiques du maillage
----------------------------

Nombre de nœuds : 1480

Nombre de mailles et type : 360 QUAD9


Grandeurs testées et résultats de la modélisation A
---------------------------------------------------

Pour comparer les résultats du calcul élastique linéaire (MECA_STATIQUE) avec la solution de référence, on compare les déplacements de 4 nœuds de la section du tube correspondant au point :math:`D` (:math:`\mathrm{CERCLE2}` ).


.. csv-table::

    "**Incrément de charge**", ":math:`\mathrm{DY}` **du point** :math:`D`"
    ":math:`\mathrm{Mz}=\mathrm{3.08670D}+\mathrm{06Nm}`", ":math:`\mathrm{DY}` (:math:`m` )"


Calcul linéaire :


.. csv-table::

    "Emplacement", "Valeur à tester", "Type de test", "Tolérance"
    ":math:`\mathit{N1157}` – :math:`\mathit{DX}`", "6.51271E-04", "NON_REGRESSION", "6.49E-06 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DX}`", "1.28830E-04", "NON_REGRESSION", "1.88E-04 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DX}`", "4.01834E-04", "NON_REGRESSION", "1.61E-05 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DX}`", "4.01834E-04", "NON_REGRESSION", "1.61E-05 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DY}`", "1.08154E-03", "NON_REGRESSION", "9.44E-05 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DY}`", "1.09424E-03", "NON_REGRESSION", "3.15E-04 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DY}`", "1.08427E-03", "NON_REGRESSION", "2.92E-04 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DY}`", "1.08427E-03", "NON_REGRESSION", "2.92E-04 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DZ}`", "0.00000E+00", "NON_REGRESSION", "1.00E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DZ}`", "0.00000E+00", "NON_REGRESSION", "1.00E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DZ}`", "6.34660E-06", "NON_REGRESSION", "8.70E-06 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DZ}`", "-6.34660E-06", "NON_REGRESSION", "8.69E-06 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRX}`", "0.00000E+00", "NON_REGRESSION", "1.00E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRX}`", "0.00000E+00", "NON_REGRESSION", "1.00E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRX}`", "-8.06992E-06", "NON_REGRESSION", "7.78E-06 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRX}`", "8.06992E-06", "NON_REGRESSION", "7.78E-06 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRY}`", "0.00000E+00", "NON_REGRESSION", "1.00E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRY}`", "0.00000E+00", "NON_REGRESSION", "1.00E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRY}`", "-4.85229E-05", "NON_REGRESSION", "5.35E-05 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRY}`", "4.85229E-05", "NON_REGRESSION", "5.35E-05 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRZ}`", "5.84655E-04", "NON_REGRESSION", "6.51E-05 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRZ}`", "6.81747E-04", "NON_REGRESSION", "5.81E-05 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRZ}`", "-9.39844E-05", "NON_REGRESSION", "6.63E-06 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRZ}`", "-9.39844E-05", "NON_REGRESSION", "6.63E-06 %"


Calcul élastoplastique (non régression)


.. csv-table::

    "Emplacement", "Valeur à tester", "Type de test", "Tolérance"
    ":math:`\mathit{N1157}` – :math:`\mathit{DX}`", "6.51271E-04", "NON_REGRESSION", "0.160 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DX}`", "1.28830E-04", "NON_REGRESSION", "0.028 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DX}`", "4.01834E-04", "NON_REGRESSION", "0.149 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DX}`", "4.01834E-04", "NON_REGRESSION", "0.149 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DY}`", "1.08154E-03", "NON_REGRESSION", "0.209 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DY}`", "1.09424E-03", "NON_REGRESSION", "0.206 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DY}`", "1.08427E-03", "NON_REGRESSION", "0.208 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DY}`", "1.08427E-03", "NON_REGRESSION", "0.208 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DZ}`", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DZ}`", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DZ}`", "6.34660E-06", "NON_REGRESSION", "0.022 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DZ}`", "-6.34660E-06", "NON_REGRESSION", "0.022 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRX}`", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRX}`", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRX}`", "-8.06992E-06", "NON_REGRESSION", "0.382 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRX}`", "8.06992E-06", "NON_REGRESSION", "0.382 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRY}`", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRY}`", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRY}`", "-4.85229E-05", "NON_REGRESSION", "0.533 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRY}`", "4.85229E-05", "NON_REGRESSION", "0.533 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRZ}`", "5.84655E-04", "NON_REGRESSION", "0.173 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRZ}`", "6.81747E-04", "NON_REGRESSION", "0.224 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRZ}`", "-9.39844E-05", "NON_REGRESSION", "0.533 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRZ}`", "-9.39844E-05", "NON_REGRESSION", "0.533 %"


On teste aussi en non-régression le nombre total d'itérations de Newton:


.. csv-table::

    "Paramètre", "Valeur à tester", "Type de test", "Tolérance"
    "EVOL_NOLI – ITER_GLOB", "1", "NON_REGRESSION", "0"


Calcul grands déplacements (non régression):


.. csv-table::

    "Emplacement", "NUME_ORDRE", "Valeur à tester", "Type de test", "Tolérance"
    ":math:`\mathit{N1157}` – :math:`\mathit{DX}`", "10", "6.51271E-04", "NON_REGRESSION", "0.161%"
    ":math:`\mathit{N1104}` – :math:`\mathit{DX}`", "10", "1.28830E-04", "NON_REGRESSION", "0.274 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DX}`", "10", "4.01834E-04", "NON_REGRESSION", "0.169 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DX}`", "10", "4.01834E-04", "NON_REGRESSION", "0.169 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DY}`", "10", "1.08154E-03", "NON_REGRESSION", "0.164%"
    ":math:`\mathit{N1104}` – :math:`\mathit{DY}`", "10", "1.09424E-03", "NON_REGRESSION", "0.115 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DY}`", "10", "1.08427E-03", "NON_REGRESSION", "0.139 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DY}`", "10", "1.08427E-03", "NON_REGRESSION", "0.139 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DZ}`", "10", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DZ}`", "10", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DZ}`", "10", "6.34660E-06", "NON_REGRESSION", "4.398 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DZ}`", "10", "-6.34660E-06", "NON_REGRESSION", "4.398 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRX}`", "10", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRX}`", "10", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRX}`", "10", "-8.06992E-06", "NON_REGRESSION", "0.423 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRX}`", "10", "8.06992E-06", "NON_REGRESSION", "0.423 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRY}`", "10", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRY}`", "10", "0.00000E+00", "NON_REGRESSION", "1.00000E-08 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRY}`", "10", "-4.85229E-05", "NON_REGRESSION", "0.565 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRY}`", "10", "4.85229E-05", "NON_REGRESSION", "0.565 %"
    ":math:`\mathit{N1157}` – :math:`\mathit{DRZ}`", "10", "5.84655E-04", "NON_REGRESSION", "0.265%"
    ":math:`\mathit{N1104}` – :math:`\mathit{DRZ}`", "10", "6.81747E-04", "NON_REGRESSION", "0.021 %"
    ":math:`\mathit{N1109}` – :math:`\mathit{DRZ}`", "10", "-9.39844E-05", "NON_REGRESSION", "1.456 %"
    ":math:`\mathit{N1099}` – :math:`\mathit{DRZ}`", "10", "-9.39844E-05", "NON_REGRESSION", "1.456 %"


On teste aussi en non-régression le nombre total d'itérations de Newton:


.. csv-table::

    "Paramètre", "Valeur à tester", "Type de test", "Tolérance"
    "EVOL_NOLI – ITER_GLOB", "2", "NON_REGRESSION", "0"