F modeling
==============


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

This modeling is identical to modeling A. The only difference is in the management of the time step. The time discretization chosen is minimal: :math:`\mathrm{0,1 };\mathrm{0,9 };\mathrm{1 };\mathrm{2 };3`.

The time step is re-cut if, at convergence, the maximum cumulative plastic deformation increment exceeds :math:`\mathrm{0,1}\text{\%}`.


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


.. csv-table::

    "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**"
    ":math:`{\sigma }_{\mathrm{xx}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "151.2"," 0.1%"
    ":math:`{\sigma }_{\mathrm{xy}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "93.1"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xx}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.48297E-2"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xy}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.36014E-2"," 0.1%"
    ":math:`p` at the moment :math:`A` ", "'AUTRE_ASTER'", "2.05473E-2"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xx}}^{p}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.4054E-2"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xy}}^{p}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.2981E-2"," 0.10%"


In addition, in a second series of calculations, we test the error indicator due to the non-radiality of the load: using a rough temporal discretization, as before, we activate the subdivision of the time step if the error due to the non-radiality exceeds 2% (RESI_RADI_RELA =0.02). This test is carried out for 2 equivalent behaviors: VMIS_CINE_LINE, VMIS_ECMI_LINE.. The results are identical for both behaviors:


.. csv-table::

    "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**"
    ":math:`{\sigma }_{\mathrm{xx}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "151.2"," 0.1%"
    ":math:`{\sigma }_{\mathrm{xy}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "93.1"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xx}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.48297E-2"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xy}}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.36014E-2"," 0.1%"
    ":math:`p` at the moment :math:`A` ", "'AUTRE_ASTER'", "2.05473E-2"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xx}}^{p}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.4054E-2"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{xy}}^{p}` at the moment :math:`A` ", "'AUTRE_ASTER'", "1.2981E-2"," 0.10%"


In addition, radiality loss indicators DERA_ELGA are tested:


.. csv-table::

    "**Identification**", "**Reference Type**", "**Value**", "**Tolerance**"
    "DERA_ELGA/ERR_RADIà moment 1,", "'NON_REGRESSION'", "0"," 0.00%"
    "DERA_ELGA/ERR_RADIà the instant :math:`\mathrm{1,5}` d", "'NON_REGRESSION'", "9.50E-003"," 0.00%"