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


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

Number of knots: 8 3D modeling: 1 quadratic volume element: **HEXA8**.

The structure contains a single grain, the state of stresses and deformations is homogeneous.


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


Type 1 behavior: MONO_VISC1, MONO_ISOT1, MONO_CINE1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "implicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSI_ELGA ", "-6.764427E-04", "0.10"
    "implicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSP_ELGA ", "-1.87292E-05", "2.0"
    "explicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSI_ELGA ", "-6.764427E-04", "0.2"
    "explicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSP_ELGA ", "-1.87292E-05", "4.0"



Type 2 behavior: MONO_VISC2, MONO_ISOT2, MONO_CINE2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Comparison between MONO_VISC2, MONO_ISOT2, MONO_CINE2 and MONO_VISC1, MONO_ISOT1, MONO_CINE1


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "implicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSI_ELGA ", "-6.76241E-04", "0.10"
    "implicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSP_ELGA ", "-1.85279E-05", "0.10"
    "explicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSI_ELGA ", "-6.757537E-04", "0.10"
    "explicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSP_ELGA ", "-1.804038E-05", "0.10"



Type 2 behavior: MONO_VISC2, MONO_ISOT2, MONO_CINE2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

No regression for MONO_VISC2, MONO_ISOT2, MONO_CINE2


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "implicit", ":math:`{\sigma }_{\mathrm{xx}}` of EPSI_ELGA ", "-95.9311", "0.10"
    "implicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSP_ELGA ", "-1.3393175E-03", "0.10"



Type 1 behavior with ELAS_ORTH
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Comparison between MONO_VISC1, MONO_ISOT1, MONO_CINE1, with ELASet with ELAS_ORTH


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "implicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSI_ELGA ", "-6.76241E-04", "0.10"
    "explicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSI_ELGA ", "-6.75754E-04", "0.10"



Type 1 behavior: MONO_VISC1, MONO_ISOT1, MONO_CINE1 for the ZIRCONIUM
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First calculation: interaction matrix (identity matrix h=0) and sliding systems defined in Code_Aster:


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "Implicit", ":math:`{\sigma }_{\mathit{xx}}` of SIEF_ELGA ", "-212.31", "0.1"
    "implicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSP_ELGA ", "-5.3785E-04", "0.1"
    "implicit", ":math:`{v}_{92}` of VARI_ELGA ", "5.2868E-04", "0.1"


Second calculation: sliding systems defined in Code_Aster, interaction matrix defined by the user (identity matrix, provided as data in a table). Comparison with the first calculation.


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "Implicit", ":math:`{\sigma }_{\mathit{xx}}` of SIEF_ELGA ", "-212.3", "0.1"
    "implicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSP_ELGA ", "-5.3785E-04", "0.1"
    "implicit", ":math:`{v}_{92}` of VARI_ELGA ", "5.2868E-04", "0.1"


Third calculation: drag systems defined in Code_Aster, interaction matrix defined by the user (identity matrix, provided as data in a table), and behavior POLYCRISTAL:


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "Polycrystal", ":math:`{\sigma }_{\mathrm{xx}}` by SIEF_ELGA ", "-212.3", "0.1"
    "Polycrystal", ":math:`{\varepsilon }_{\mathrm{xx}}` by EPSP_ELGA ", "-5.3785E-04", "0.1"
    "Polycrystal", ":math:`{v}_{99}` by VARI_ELGA ", "5.2868E-04", "0.1"


Fourth calculation: sliding systems and interaction matrix defined by the user:


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "Implicit", ":math:`{\sigma }_{\mathit{xx}}` of SIEF_ELGA ", "-212.3", "0.1"
    "implicit", ":math:`{\varepsilon }_{\mathrm{xx}}` of EPSP_ELGA ", "-5.3785E-04", "0.1"
    "implicit", ":math:`{v}_{92}` of VARI_ELGA ", "5.2868E-04", "0.1"


Fifth calculation: sliding systems and interaction matrix defined by the user, and behavior POLYCRISTAL (only one phase, to allow comparison with previous calculations):


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "Polycrystal", ":math:`{\sigma }_{\mathit{xx}}` by SIEF_ELGA ", "-212.3", "0.1"
    "Polycrystal", ":math:`{\varepsilon }_{\mathrm{xx}}` by EPSP_ELGA ", "-5.3785E-04", "0.3"
    "Polycrystal", ":math:`{v}_{99}` by VARI_ELGA ", "5.2868E-04", "0.8"



Behavior: MONO_DD_KR
~~~~~~~~~~~~~~~~~~~~~~~~~~~~


.. csv-table::

    "**Integration**", "**Identification**", "**Reference**", "**% Tolerance**"
    "implicit", ":math:`{\sigma }_{\mathit{xx}}` of SIEF_ELGA ", "-324.37", "0.40"
    "implicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSP_ELGA ", "-8.1822E-04", "0.20"
    "explicit", ":math:`{\sigma }_{\mathit{xx}}` of SIEF_ELGA ", "-324.37", "0.40"
    "explicit", ":math:`{\varepsilon }_{\mathit{xx}}` of EPSP_ELGA ", "-8.1822E-04", "0.05"
    "Polycrystal", ":math:`{\sigma }_{\mathit{xx}}` by SIEF_ELGA ", "-324.37", "0.40"
    "Polycrystal", ":math:`{\varepsilon }_{\mathit{xx}}` by EPSP_ELGA ", "-8.1822E-04", "0.05"