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


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

The discretization in time is quite fine:


.. code-block:: text

    (JUSQU_A = 2, NOMBRE = 10),

    (JUSQU_A = 2., NOMBRE = 10),

    (JUSQU_A = 20., NOMBRE = 10),

    (JUSQU_A = 200., NOMBRE = 10),

    (JUSQU_A = 2000., NOMBRE = 10),

    (JUSQU_A = 20000., NOMBRE = 10),

    (JUSQU_A = 200,000., NOMBRE = 10),

    (JUSQU_A = 1000000., NOMBRE = 30),

    (JUSQU_A = 1600000., NOMBRE = 30),

    (JUSQU_A = 1700000., NOMBRE = 40),

    (JUSQU_A = 1800000., NOMBRE = 40),

    (JUSQU_A = 1900000., NOMBRE = 40),

    (JUSQU_A = 2000000., NOMBRE = 40),

    (JUSQU_A = 2100000., NOMBRE = 40),

    (JUSQU_A = 2200000., NOMBRE = 40),

    (JUSQU_A = 2300000., NOMBRE = 40),

    (JUSQU_A = 2400000., NOMBRE = 40),

    (JUSQU_A = 2500000., NOMBRE = 40),


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

Number of knots: 8

Number of stitches: 1 (HEXA8)


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

Evolution of the damage variable, :math:`D`, as a function of time. This value is tested at various times:


.. csv-table::

    "**Instant**", "**Reference**"
    "520000", "1.52596E-02"
    "1000000", "3.30676E-02"
    "2000000", "9.9465369E-02"
    "2250000", "1.37520763E-01"
    "2500000", "2.66018229E-01"


Evolution of the viscoplastic isotropic work hardening variable, :math:`r`, as a function of time. This value is tested at various times:


.. csv-table::

    "**Instant**", "**Reference**"
    "520000", "2.300147E-03"
    "1000000", "3.179469E-03"
    "2000000", "4.95103E-03"
    "2250000", "5.592847E-03"
    "2500000", "6.99749E-03"



notes
---------

The difference observed on :math:`D` for :math:`t=2.5{10}^{6}s` is due to the very high non-linearity of the evolution of the damage variable.