D modeling
==============


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

A material point whose monocrystalline flow law is MONO_DD_CC_IRRA, comprising 12 sliding systems from the CUBIQUE1 family, is stressed under imposed stress.


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


Tested values
~~~~~~~~~~~~~~~~

**Integration** RUNGE_KUTTA


.. csv-table::

    "**Variable**", "**Instants** :math:`(s)` ", "**Reference**"
    ":math:`{\rho }_{8}` ", "1", "1.0003807E+11"
    ":math:`{\rho }_{5}` ", "1", "1.0001773E+11"
    ":math:`{\gamma }_{8}` ", "1", "2.470697430610E-07"
    ":math:`{\gamma }_{5}` ", "1", "-1.139016265372E-07"
    ":math:`{\varepsilon }_{\mathrm{xx}}^{\mathrm{vp}}` ", "1", "-1.479102030578E-07"
    ":math:`{\varepsilon }_{\mathit{zz}}^{\mathit{vp}}` ", "1", "1.475432149480E-07"
    ":math:`{\varepsilon }_{\mathit{xy}}^{\mathit{vp}}` ", "1", "3.852669669294E-08"
    ":math:`{\varepsilon }_{\mathit{yz}}^{\mathit{vp}}` ", "1", "1.045760560539705E-07"


**Integration** **IMPLICITE**

(compared to explicit integration)

.. csv-table::

    "**Variable**", "**Instants** :math:`(s)` ", "**Reference**", "**Tolerance%**"
    ":math:`{\rho }_{8}` ", "1", "1.0003807E+11", "0.5"
    ":math:`{\rho }_{5}` ", "1", "1.0001773E+11", "0.5"
    ":math:`{\gamma }_{8}` ", "1", "2.470697430610E-07", "2"
    ":math:`{\gamma }_{5}` ", "1", "-1.139016265372E-07", "2"
    ":math:`{\varepsilon }_{\mathrm{xx}}^{\mathrm{vp}}` ", "1", "-1.479102030578E-07", "5"
    ":math:`{\varepsilon }_{\mathrm{zz}}^{\mathrm{vp}}` ", "1", "1.475432149480E-07", "2"
    ":math:`{\varepsilon }_{\mathit{xy}}^{\mathit{vp}}` ", "1", "3.852669669294E-08", "2"
    ":math:`{\varepsilon }_{\mathit{yz}}^{\mathit{vp}}` ", "1", "1.045760560539705E-07", "2"


Note: the differences are due to time discretization, which is coarser with implicit integration.