J modeling
==============

Behavioral law and material parameters
--------------------------------------------

The law of behavior tested 'META_LEMA_ANI' is documented in R4.04.04 for the consideration of metallurgy and in R4.04.05 for its mechanical description. It is a Lemaitre law with no threshold taking into account the change of metallurgical phase.

Values of the parameters used:


+--------------------------------------------------------------+-------------------------------------------------+----------------+
|Settings                                                      |:math:`T=700°C`                                  |:math:`T=1000°C`|
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|:math:`E(T)`                                                  |:math:`8.E4\mathit{MPa}` :math:`4.E4\mathit{MPa}`                 |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|:math:`\nu (T)`                                               |:math:`0.35`                                                      |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F1_A                                                          |2.39                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F2_A                                                          |0.22                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|C_A                                                           |9.36                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F1_M                                                          |0.0                                                               |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F2_M                                                          |0.77E-04                                                          |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|C_M                                                           |0.99E-04                                                          |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F1_N                                                          |4.39                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F2_N                                                          |2.96                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|C_N                                                           |6.11                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F1_Q                                                          |19922.8                                                           |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F2_Q                                                          |21023.7                                                           |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|C_Q                                                           |6219                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F_ MRR_RR C_ MRR_RR F_ MTT_TT C_ MTT_TT F_ F_ MZZ_ZZ C_ MZZ_ZZ|1                                                                 |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F_ MRT_RT C_ MRT_RT F_ MRZ_RZ C_ MRZ_RZ F_ F_ MTZ_TZ C_ MTZ_TZ|0.75                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|F_ ALPHA C_ ALPHA                                             |0.0                                                               |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|TDEQ                                                          |809                                                               |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|K                                                             |1.135E-2                                                          |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|NEQ                                                           |2.187                                                             |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|T1C                                                           |831                                                               |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|T2C                                                           |0.0                                                               |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|QSR_K                                                         |                                                                  |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|AC                                                            |1.58E-4                                                           |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|M                                                             |4.7                                                               |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|T1R                                                           |949.1                                                             |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|T2R                                                           |                                                                  |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|RA                                                            |-5.725                                                            |
+--------------------------------------------------------------+-------------------------------------------------+----------------+
|BR                                                            |0.05                                                              |
+--------------------------------------------------------------+-------------------------------------------------+----------------+


Results
---------


.. csv-table::

    "Result at order number :math:`i` ", "Name of the tested parameter", "Name of the tested parameter", "Reference type", "tolerance"
    "RESU_19 "," SIYY (MPa)", "AUTRE_ASTER "," -11.816", "0.10%"
    "RESU_19 ", "V7"," AUTRE_ASTER ", "0.00570"," 0.10%"