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


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

**Modeling** :math:`\mathrm{2D}` **, axisymmetric (** SEG3 **,** QUAD8 **)**


.. image:: images/Shape3.gif


.. _RefSchema_Shape3.gif:


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

Number of knots: 63

Count of elements: 26 SEG3, 12 QUAD8.


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

Below is the comparison of *Aster* results with respect to the reference results from the calculation code CUVE1D in version 2.1:


+-----------------+--------------+------------------+-------------------+---------------+
|**Offset = 0.mm**                                                                      |
+-----------------+--------------+------------------+-------------------+---------------+
|**Value type**   |**Moment (s)**|**Reference Type**|**Reference (Map)**|**% Tolerance**|
+-----------------+--------------+------------------+-------------------+---------------+
|K1_ REV          |0             |'SOURCE_EXTERNE'  |1.5349             |0.1            |
+-----------------+--------------+------------------+-------------------+---------------+
|KCP_REV          |0             |'SOURCE_EXTERNE'  |1.8363             |0.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV       |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+-----------------+--------------+------------------+-------------------+---------------+
|K1_ MDB          |0             |'SOURCE_EXTERNE'  |1.522              |1.0            |
+-----------------+--------------+------------------+-------------------+---------------+
|KCP_MDB          |0             |'SOURCE_EXTERNE'  |2.0203             |1.0            |
+-----------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB       |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+-----------------+--------------+------------------+-------------------+---------------+
|                 |              |                  |                   |               |
+-----------------+--------------+------------------+-------------------+---------------+
|K1_ REV          |210           |'SOURCE_EXTERNE'  |4.8435             |1.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|KCP_REV          |210           |'SOURCE_EXTERNE'  |6.2753             |1.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV       |210           |'SOURCE_EXTERNE'  |105.19             |1.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|K1_ MDB          |210           |'SOURCE_EXTERNE'  |4.4915             |1.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|KCP_MDB          |210           |'SOURCE_EXTERNE'  |6.7053             |1.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB       |210           |'SOURCE_EXTERNE'  |105.19             |18.0           |
+-----------------+--------------+------------------+-------------------+---------------+
|                 |              |                  |                   |               |
+-----------------+--------------+------------------+-------------------+---------------+
|K1_ REV          |3871          |'SOURCE_EXTERNE'  |3.724              |0.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|KCP_REV          |3871          |'SOURCE_EXTERNE'  |1.8043             |1.0            |
+-----------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV       |3871          |'SOURCE_EXTERNE'  |84.98              |0.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|K1_ MDB          |3871          |'SOURCE_EXTERNE'  |3.506              |1.0            |
+-----------------+--------------+------------------+-------------------+---------------+
|KCP_MDB          |3871          |'SOURCE_EXTERNE'  |2.5675             |1.5            |
+-----------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB       |3871          |'SOURCE_EXTERNE'  |84.98              |1.6            |
+-----------------+--------------+------------------+-------------------+---------------+


+------------------+--------------+------------------+-------------------+---------------+
|**Offset = 2.5mm**                                                                      |
+------------------+--------------+------------------+-------------------+---------------+
|**Value type**    |**Moment (s)**|**Reference Type**|**Reference (Map)**|**% Tolerance**|
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |0             |'SOURCE_EXTERNE'  |1.5192             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |0             |'SOURCE_EXTERNE'  |1.7565             |4.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |0             |'SOURCE_EXTERNE'  |1.5105             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |0             |'SOURCE_EXTERNE'  |1.9039             |5.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|                  |              |                  |                   |               |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |210           |'SOURCE_EXTERNE'  |4.5346             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |210           |'SOURCE_EXTERNE'  |5.8735             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |210           |'SOURCE_EXTERNE'  |112.4              |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |210           |'SOURCE_EXTERNE'  |4.2037             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |210           |'SOURCE_EXTERNE'  |6.2731             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |210           |'SOURCE_EXTERNE'  |129.23             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|                  |              |                  |                   |               |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |3871          |'SOURCE_EXTERNE'  |3.531              |0.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |3871          |'SOURCE_EXTERNE'  |1.693              |1.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |3871          |'SOURCE_EXTERNE'  |85.44              |0.5            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |3871          |'SOURCE_EXTERNE'  |3.531              |6.0            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |3871          |'SOURCE_EXTERNE'  |2.4172             |1.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |3871          |'SOURCE_EXTERNE'  |86.54              |0.5            |
+------------------+--------------+------------------+-------------------+---------------+


+------------------+--------------+------------------+-------------------+---------------+
|**Offset = 5.0mm**                                                                      |
+------------------+--------------+------------------+-------------------+---------------+
|**Value type**    |**Moment (s)**|**Reference Type**|**Reference (Map)**|**% Tolerance**|
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |0             |'SOURCE_EXTERNE'  |1.5105             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |0             |'SOURCE_EXTERNE'  |1.7044             |6.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |0             |'SOURCE_EXTERNE'  |1.5028             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |0             |'SOURCE_EXTERNE'  |1.8244             |9.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|                  |              |                  |                   |               |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |210           |'SOURCE_EXTERNE'  |4.2543             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |210           |'SOURCE_EXTERNE'  |5.499              |1.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |210           |'SOURCE_EXTERNE'  |119.5              |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |210           |'SOURCE_EXTERNE'  |3.9338             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |210           |'SOURCE_EXTERNE'  |5.8529             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |210           |'SOURCE_EXTERNE'  |136.03             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|                  |              |                  |                   |               |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |3871          |'SOURCE_EXTERNE'  |3.357              |0.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |3871          |'SOURCE_EXTERNE'  |1.5872             |0.2            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |3871          |'SOURCE_EXTERNE'  |85.9               |0.5            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |3871          |'SOURCE_EXTERNE'  |3.156              |0.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |3871          |'SOURCE_EXTERNE'  |2.2645             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |3871          |'SOURCE_EXTERNE'  |86.99              |0.5            |
+------------------+--------------+------------------+-------------------+---------------+


+------------------+--------------+------------------+-------------------+---------------+
|**Offset = 7.5mm**                                                                      |
+------------------+--------------+------------------+-------------------+---------------+
|**Value type**    |**Moment (s)**|**Reference Type**|**Reference (Map)**|**% Tolerance**|
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |0             |'SOURCE_EXTERNE'  |1.5049             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |0             |'SOURCE_EXTERNE'  |1.668              |8.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |0             |'SOURCE_EXTERNE'  |1.4972             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |0             |'SOURCE_EXTERNE'  |1.7679             |12.5           |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|                  |              |                  |                   |               |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |210           |'SOURCE_EXTERNE'  |3.9887             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |210           |'SOURCE_EXTERNE'  |5.1214             |0.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |210           |'SOURCE_EXTERNE'  |126.48             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |210           |'SOURCE_EXTERNE'  |3.6757             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |210           |'SOURCE_EXTERNE'  |5.4159             |0.1            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |210           |'SOURCE_EXTERNE'  |142.69             |1.5            |
+------------------+--------------+------------------+-------------------+---------------+
|                  |              |                  |                   |               |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ REV           |3871          |'SOURCE_EXTERNE'  |3.191              |6.0            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_REV           |3871          |'SOURCE_EXTERNE'  |1.469              |4.0            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV        |3871          |'SOURCE_EXTERNE'  |86.35              |1.0            |
+------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB           |3871          |'SOURCE_EXTERNE'  |2.993              |6.0            |
+------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB           |3871          |'SOURCE_EXTERNE'  |2.0853             |3.5            |
+------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB        |3871          |'SOURCE_EXTERNE'  |87.44              |1.0            |
+------------------+--------------+------------------+-------------------+---------------+


+-------------------+--------------+------------------+-------------------+---------------+
|**Offset = 10.0mm**                                                                      |
+-------------------+--------------+------------------+-------------------+---------------+
|**Value type**     |**Moment (s)**|**Reference Type**|**Reference (Map)**|**% Tolerance**|
+-------------------+--------------+------------------+-------------------+---------------+
|K1_ REV            |0             |'SOURCE_EXTERNE'  |1.5007             |0.1            |
+-------------------+--------------+------------------+-------------------+---------------+
|KCP_REV            |0             |'SOURCE_EXTERNE'  |1.6411             |9.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV         |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+-------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB            |0             |'SOURCE_EXTERNE'  |1.4928             |0.1            |
+-------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB            |0             |'SOURCE_EXTERNE'  |1.7258             |14.0           |
+-------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB         |0             |'SOURCE_EXTERNE'  |287.0              |0.1            |
+-------------------+--------------+------------------+-------------------+---------------+
|                   |              |                  |                   |               |
+-------------------+--------------+------------------+-------------------+---------------+
|K1_ REV            |210           |'SOURCE_EXTERNE'  |3.7326             |1.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|KCP_REV            |210           |'SOURCE_EXTERNE'  |4.7283             |1.0            |
+-------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV         |210           |'SOURCE_EXTERNE'  |133.33             |1.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB            |210           |'SOURCE_EXTERNE'  |3.4263             |1.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB            |210           |'SOURCE_EXTERNE'  |4.9503             |2.0            |
+-------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB         |210           |'SOURCE_EXTERNE'  |149.21             |1.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|                   |              |                  |                   |               |
+-------------------+--------------+------------------+-------------------+---------------+
|K1_ REV            |3871          |'SOURCE_EXTERNE'  |3.03               |0.2            |
+-------------------+--------------+------------------+-------------------+---------------+
|KCP_REV            |3871          |'SOURCE_EXTERNE'  |1.3289             |8.0            |
+-------------------+--------------+------------------+-------------------+---------------+
|TEMPPF_REV         |3871          |'SOURCE_EXTERNE'  |86.81              |0.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|K1_ MDB            |3871          |'SOURCE_EXTERNE'  |2.834              |0.5            |
+-------------------+--------------+------------------+-------------------+---------------+
|KCP_MDB            |3871          |'SOURCE_EXTERNE'  |1.8787             |8.0            |
+-------------------+--------------+------------------+-------------------+---------------+
|TEMPFF_MDB         |3871          |'SOURCE_EXTERNE'  |87.89              |0.5            |
+-------------------+--------------+------------------+-------------------+---------------+

The following figures show the changes in the elastic stress intensity factor and the plastically corrected stress intensity factor at point A (REV) and at point B (MDB) of the defect obtained with Code_Aster. These changes are compared to the reference solution.


.. image:: images/10000000000002DC000001C66AA3E8660BA0ECDF.png
    :width: 6.889in
    :height: 4.272in


.. _RefImage_10000000000002DC000001C66AA3E8660BA0ECDF.png:

Figure 3.3-a: Elastic stress intensity factor for the tip on the coating side


.. image:: images/10000000000002DA000001C404EBE0AD45D5C9E3.png
    :width: 6.889in
    :height: 4.2654in


.. _RefImage_10000000000002DA000001C404EBE0AD45D5C9E3.png:

Figure 3.3-b: Elasto-plastic stress intensity factor for the tip on the coating side


.. image:: images/100000000000028C0000019D021C04C9CA6E257D.png
    :width: 6.7917in
    :height: 4.302in


.. _RefImage_100000000000028C0000019D021C04C9CA6E257D.png:

Figure 3.3-c: Elastic stress intensity factor for the base metal tip


.. image:: images/100000000000028D0000019EC2EB9DC6CFAC7D7C.png
    :width: 6.802in
    :height: 4.3126in


.. _RefImage_100000000000028D0000019EC2EB9DC6CFAC7D7C.png:

Figure 3.3-d: Elasto-plastic stress intensity factor for the base metal tip