C modeling
==============

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

The model is identical to that of modeling A: same geometry, same boundary conditions. The load stresses the material in tension and then in compression (load No. 1 in modeling A).

The concrete is modelled with the Mazars damage model in 1D version [:ref:`R7.01.08 <R7.01.08>`]. All material parameters are temperature dependent.

The DEFI_MATER_GC command makes it possible to determine the parameters necessary for the law of behavior. The only data required for the order is the constraint: :math:`{F}_{\mathit{cj}}`.


.. csv-table::

    "**Temperature**", "20°C", "50°C", "80°C", "110°C"
    ":math:`{F}_{\mathit{cj}}` ", "40 MPa ", "35 MPa ", "35 MPa ", "30 MPa"


*Notes:*

*The values of the characteristics of the concrete material are not physical* s\ *.* C*e test case is a non-regression test case.*

The changes, as a function of the temperature, of the various parameters are constructed from the command DEFI_FONCTION.


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

The quantities tested are stress, damage, as well as the maximum temperature reached.

The table below shows the constraint for several moments.

.. csv-table::

    "**Instant**", "**Size**", "**Reference Type**", "**Reference Value** [Pa]"
    "0.60"," SIXX "," ANALYTIQUE "," :math:`2.8828728355E+06`"
    "1.00"," SIXX "," ANALYTIQUE "," :math:`2.3133846636E+06`"
    "2.00"," SIXX "," ANALYTIQUE "," :math:`7.7769639331E+05`"
    "3.00"," SIXX "," ANALYTIQUE "," :math:`2.7014353939E+05`"
    "4.00"," SIXX "," ANALYTIQUE "," :math:`-2.3619458743E+07`"
    "5.00"," SIXX "," ANALYTIQUE "," :math:`-1.0456618119E+07`"
    "6.00"," SIXX "," ANALYTIQUE "," :math:`-1.5277297601E+07`"


The table below shows the tensile and then compression damage for several moments.

.. csv-table::

    "**Instant**", "**Size**", "**Reference Type**", "**Reference Value**"
    "0.60", "Dt", "ANALYTIQUE "," :math:`7.3182177638E-02`"
    "1.00", "Dt", "ANALYTIQUE "," :math:`5.4897304523E-01`"
    "2.00", "Dt", "ANALYTIQUE "," :math:`5.6772655029E-01`"
    "3.00", "Dt", "ANALYTIQUE "," :math:`9.9249219357E-01`"
    "4.00", "Dc", "ANALYTIQUE "," :math:`8.3253750892E-01`"
    "5.00", "Dc", "ANALYTIQUE "," :math:`8.4703386002E-01`"
    "6.00", "Dc", "ANALYTIQUE "," :math:`9.1060554314E-01`"


The table below shows the maximum temperature reached for several moments.

.. csv-table::

    "**Instant**", "**Size**", "**Reference Type**", "**Reference Value** [°C]"
    "0.60"," TEMPE "," ANALYTIQUE "," :math:`30.8`"
    "1.00"," TEMPE "," ANALYTIQUE "," :math:`38.0`"
    "2.00"," TEMPE "," ANALYTIQUE "," :math:`56.0`"
    "3.00"," TEMPE "," ANALYTIQUE "," :math:`74.0`"
    "4.00"," TEMPE "," ANALYTIQUE "," :math:`92.0`"
    "5.00"," TEMPE "," ANALYTIQUE "," :math:`110.0`"
    "6.00"," TEMPE "," ANALYTIQUE "," :math:`110.0`"