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


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

Modeling is AXIS.

     Modeling A performs several calculations, with the 2 types of loads (PRES_REPou FORCE_NODALE), and different material assignments (3 different cases).

That is 6 different calculation cases.

Calculation 1:

     Vmat1 is assigned the material Material_1.

     Vmat2 is assigned the material Material_1.

     Loading is done with PRES_REP.

Calculation no. 2:

     Vmat1 is assigned the material Material_1.

     Vmat2 is assigned the material Material_3.

     Loading is done with PRES_REP.

Calculation 3:

     Vmat1 is assigned the material Material_1.

     Vmat2 is assigned the material Material_2.

     Loading is done with PRES_REP.

Calculation no. 4:

     Vmat1 is assigned the material Material_1.

     Vmat2 is assigned the material Material_1.

     Loading is done with FORCE_NODALE.

Calculation 5:

     Vmat1 is assigned the material Material_1.

     Vmat2 is assigned the material Material_3.

     Loading is done with FORCE_NODALE.

Calculation 6:

     Vmat1 is assigned the material Material_1.

     Vmat2 is assigned the material Material_2.

     Loading is done with FORCE_NODALE.

For each of the preceding calculation cases, G has been calculated on different crowns:

Crown 0:

 Lower radius = :math:`0.0`

 Upper radius = :math:`0.025`

Crown 1:

 Lower radius = :math:`0.025`

 Upper radius = :math:`0.05`

Crown 2:

 Lower radius = :math:`0.05`

 Upper radius = :math:`0.075`

Crown 3:

 Lower radius = :math:`0.075`

 Upper radius = :math:`0.1`

Crown 4:

 Lower radius = :math:`0.025`

 Upper radius = :math:`0.5`


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


.. image:: images/10000000000001430000025A9194AFAA549FA9ED.png
    :width: 1.8839in
    :height: 3.7866in


.. _RefImage_10000000000001430000025A9194AFAA549FA9ED.png:

Number of knots: 3785

Number of meshes and types: 138 SEG3

                         80 TRI6

                         1152 QUAD8

The radius of the mesh radiating at the crack point is 0.125.


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

G is calculated for several crowns for each calculation case:

Result for calculation 1:


.. csv-table::

    "**Size**", "**Crown**", "**Reference Value**", "**Reference Type**", "**Precision (%)**"
    "G", "0", "0.00146438"," SOURCE_EXTERNE "," 7%"
    "G", "1", "0.00146438"," SOURCE_EXTERNE "," 3%"
    "G", "2", "0.00146438"," SOURCE_EXTERNE "," 3%"
    "G", "3", "0.00146438"," SOURCE_EXTERNE "," 3%"
    "G", "4", "0.00146438"," SOURCE_EXTERNE "," 3%"


Result for calculation no. 2:


.. csv-table::

    "**Size**", "**Crown**", "**Reference Value**", "**Reference Type**", "**Precision (%)**"
    "G", "0", "0.000673168"," SOURCE_EXTERNE "," 5%"
    "G", "1", "0.000673168"," SOURCE_EXTERNE "," 0.5%"
    "G", "2", "0.000673168"," SOURCE_EXTERNE "," 0.5%"
    "G", "3", "0.000673168"," SOURCE_EXTERNE "," 0.5%"
    "G", "4", "0.000673168"," SOURCE_EXTERNE "," 0.5%"


Result for calculation 3:


.. csv-table::

    "**Size**", "**Crown**", "**Reference Value**", "**Reference Type**", "**Precision (%)**"
    "G", "0", "0.000706637"," SOURCE_EXTERNE "," 11%"
    "G", "1", "0.000706637"," SOURCE_EXTERNE "," 7%"
    "G", "2", "0.000706637"," SOURCE_EXTERNE "," 7%"
    "G", "3", "0.000706637"," SOURCE_EXTERNE "," 7%"
    "G", "4", "0.000706637"," SOURCE_EXTERNE "," 7%"


Result for calculation no. 4:


.. csv-table::

    "**Size**", "**Crown**", "**Reference Value**", "**Reference Type**", "**Precision (%)**"
    "G", "0", "5.52152E-09"," SOURCE_EXTERNE "," 7%"
    "G", "1", "5.52152E-09"," SOURCE_EXTERNE "," 3%"
    "G", "2", "5.52152E-09"," SOURCE_EXTERNE "," 3%"
    "G", "3", "5.52152E-09"," SOURCE_EXTERNE "," 3%"
    "G", "4", "5.52152E-09"," SOURCE_EXTERNE "," 3%"


Result for calculation no. 5:


.. csv-table::

    "**Size**", "**Crown**", "**Reference Value**", "**Reference Type**", "**Precision (%)**"
    "G", "0", "2.5974E-09"," SOURCE_EXTERNE "," 3%"
    "G", "1", "2.5974E-09"," SOURCE_EXTERNE "," 7%"
    "G", "2", "2.5974E-09"," SOURCE_EXTERNE "," 7%"
    "G", "3", "2.5974E-09"," SOURCE_EXTERNE "," 7%"
    "G", "4", "2.5974E-09"," SOURCE_EXTERNE "," 7%"


Result for calculation no. 6:


.. csv-table::

    "**Size**", "**Crown**", "**Reference Value**", "**Reference Type**", "**Precision (%)**"
    "G", "0", "2.53699E-09"," SOURCE_EXTERNE "," 5%"
    "G", "1", "2.53699E-09"," SOURCE_EXTERNE "," 1%"
    "G", "2", "2.53699E-09"," SOURCE_EXTERNE "," 1%"
    "G", "3", "2.53699E-09"," SOURCE_EXTERNE "," 1%"
    "G", "4", "2.53699E-09"," SOURCE_EXTERNE "," 1%"