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


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

3D **(** HEXA8 **)**

1 element, stress field and uniform deformation.


.. image:: images/100000000000021F000001E3C8D8CA17005519E9.png
    :width: 3.4008in
    :height: 3.0437in


.. _RefImage_100000000000021F000001E3C8D8CA17005519E9.png:


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

Number of knots: 8

Number of meshes and type: 1 HEXA8


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

The components :math:`\mathrm{xx}` and :math:`\mathrm{yy}` of the stress field SIGM_ELNO, the cumulative plastic deformation under compression, the cumulative plastic deformation under tension (first and second internal variable, second component of the field VARI_ELNO) and the plastic state (the fourth variable of the field VARI_ELNO) were tested. The plastic state is equal to 1 in compression, 11 after projection at the top of the compression cone, 2 in tension, 22 after projection at the top of the traction criterion, 3 in compression and traction together, and 33 after projection onto the two vertices of the two cones. Since the displacement is imposed, field EPSI_ELNO is not tested.

The values given here correspond to version 7.2.25.

**Field** **SIGM_ELNO component** **SIXX**


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "For a displacement imposed in :math:`{U}_{3}=–1.` and :math:`{U}_{1}={U}_{2}=0.` ", "—", "—", "—", "—"
    "For a displacement imposed in :math:`{U}_{3}=–1.725` and :math:`{U}_{1}={U}_{2}=0.010` ", "—", "2.5737449", "—"
    "For a displacement imposed in :math:`{U}_{3}=–1.8` and :math:`{U}_{1}={U}_{2}=0.02872` ", "—", "0.6767446", "—"
    "For a displacement imposed in
    :math:`{U}_{3}=–2.` and :math:`{U}_{1}={U}_{2}=0.1` ", "—", "2.666667 10-6", "—"


**Field** **SIGM_ELNO component** **SIYY**


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "For a displacement imposed in :math:`{U}_{3}=–1.` and :math:`{U}_{1}={U}_{2}=0.` ", "—", "—17.4575632", "—"
    "For a displacement imposed in :math:`{U}_{3}=–1.725` and :math:`{U}_{1}={U}_{2}=0.010` ", "—", "2.5737449", "—"
    "For a displacement imposed in :math:`{U}_{3}=–1.8` and :math:`{U}_{1}={U}_{2}=0.02872` ", "—", "0.6767446", "—"
    "For a displacement imposed in
    :math:`{U}_{3}=–2.` and :math:`{U}_{1}={U}_{2}=0.1` ", "—", "-3.622988 10-5", "—"


**Field** **VARI_ELNO component** **V1 (cumulative plastic deformation under compression)**


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "For a displacement imposed in :math:`{U}_{3}=-1.` and :math:`{U}_{1}={U}_{2}=0.` ", "-", "0.1995285", "-"
    "For a displacement imposed in :math:`{U}_{3}=-1.725` and :math:`{U}_{1}={U}_{2}=0.010` ", "-", "0.3429299", "-"
    "For a displacement imposed in :math:`{U}_{3}=-1.8` and :math:`{U}_{1}={U}_{2}=0.02872` ", "-", "0.3449657", "-"
    "For a displacement imposed in
    :math:`{U}_{3}=-2.` and U_1= U_2= 0.1", "-", "0.3849539", "-"


**Field** **VARI_ELNO component** :math:`\mathrm{V2}` **(cumulative plastic deformation under tension)**


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "For a displacement imposed in :math:`{U}_{3}=-1.` and :math:`{U}_{1}={U}_{2}=0.` ", "-", "-", "-", "-"
    "For a displacement imposed in :math:`{U}_{3}=-1.725` and :math:`{U}_{1}={U}_{2}=0.010` ", "-", "1.231450e-03", "-"
    "For a displacement imposed in :math:`{U}_{3}=-1.725` and :math:`{U}_{1}={U}_{2}=0.02872` ", "-", "2.638289e-02", "-"
    "For a displacement imposed in
    :math:`{U}_{3}=-2.` and :math:`{U}_{1}={U}_{2}=0.1` ", "-", "8.373868e-02", "-"


**Field** **VARI_ELNO component** :math:`\mathrm{V4}` **(plastic state)**


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "For an imposed displacement in :math:`{U}_{3}=-1.` and :math:`{U}_{1}={U}_{2}=0.` ", "-", "1. ", "-"
    "For an imposed displacement in :math:`{U}_{3}=-1.725` and :math:`{U}_{1}={U}_{2}=0.010` ", "-", "22. ", "-"
    "For an imposed displacement in :math:`{U}_{3}=-1.725` and :math:`{U}_{1}={U}_{2}=0.02872` ", "-", "22. ", "-"
    "For a displacement imposed in
    :math:`{U}_{3}=-2.` and :math:`{U}_{1}={U}_{2}=0.1` ", "-", "3. ", "-"