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


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


.. image:: images/1000078A00000BFD0000182F7ED74D58D42BD0EA.svg
    :width: 154
    :height: 312


.. _RefImage_1000078A00000BFD0000182F7ED74D58D42BD0EA.svg:

:math:`A\mathrm{=}\mathit{N4}`, :math:`B\mathrm{=}\mathit{N5}`, :math:`C\mathrm{=}\mathit{N13}`, :math:`D\mathrm{=}\mathit{N12}`.

Load: The total number of increments is 102 (4 increments from 0 to 46s, 2 increments from :math:`46` to :math:`\mathrm{48s}`, 6 increments from :math:`48` to :math:`\mathrm{60s}`, 26 from :math:`60` to :math:`\mathrm{112s}`, 4 from :math:`112` to :math:`\mathrm{116s}`, 4 from to, and 60 increments up to :math:`\mathrm{176s}`). Convergence is achieved if the residue (RESI_GLOB_RELA) is less than or equal to 10—6.


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

Number of knots: 13

Number of meshes and types: 2 meshes QUAD8, 6 meshes SEG3


Tested values
---------------


+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|**Identification**                                                                                                                                                                                          |**Reference**  |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}47` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                     |—8.4347 10—4 m |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}47` Variable                                                                                                                                                                              |               |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_102.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}47` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 |0              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}47` Constraint :math:`\mathit{SIGYY}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                  | #. 10—6Pa     |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}48` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                     |—5.9639 10—4 m |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}48` Variable                                                                                                                                                                              |1.3260 10—3    |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_103.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}48` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 |1              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}48` Constraint :math:`\mathit{SIGYY}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                  | #. 106Pa      |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}60` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                     |6.476 10—3 m   |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}60` Variable                                                                                                                                                                              |3.7295 10—2    |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_104.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+                                                                                                                                                                                                            +               +
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}60` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 |1              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}60` Constraint :math:`\mathit{SIGYY}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                  | #. 106Pa      |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}83` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                     |1.1544 10—2m   |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}83` Variable                                                                                                                                                                              |3.7295 10—2    |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_105.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}83` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 |0              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}83` Constraint :math:`\mathit{SIGYY}` (M1, PG1)                                                                                                                                           | #. 106Pa      |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}84` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                     |1.1705 10—2m   |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}84` Variable                                                                                                                                                                              |3.7296 10—2    |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_106.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
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+                                                                                                                                                                                                            +               +
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}84` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 |1              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}84` Constraint :math:`\mathit{SIGYY}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                  | #. 106Pa      |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}85` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                     |1.1864 10—2m   |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}85` Variable                                                                                                                                                                              |3.7304 10—2    |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_107.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+                                                                                                                                                                                                            +               +
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+                                                                                                                                                                                                            +               +
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}85` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 |1              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}85` Constraint :math:`\mathit{SIGYY}` (M1, PG1)                                                                                                                                           | #. 106Pa      |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}176` Travel :math:`\mathit{DY}` :math:`(\mathit{N13})`                                                                                                                                    |1.7743 10—2m   |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}176` Variable                                                                                                                                                                             |5.943 10—2     |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+ .. image:: images/Object_108.svg                                                                                                                                                                           +               +
|    :width: 154                                                                                                                                                                                             |               |
+    :height: 312                                                                                                                                                                                            +               +
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+                                                                                                                                                                                                            +               +
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+                                                                                                                                                                                                            +               +
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+ :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                                                   +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}176` :math:`\chi` :math:`\mathit{VARI}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                |1              |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+
|:math:`t\mathrm{=}176` Constraint :math:`\mathit{SIGYY}` :math:`(\mathit{M1},\mathit{PG1})`                                                                                                                 | #. 106Pa      |
+                                                                                                                                                                                                            +               +
|                                                                                                                                                                                                            |               |
+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+---------------+