Discretization
==============


Degrees of freedom
------------------


.. csv-table::

    "**Modeling**", "**Degrees of freedom on each node**"



.. csv-table::

    "XXX_JOINT ", "DX: next move :math:`X`"
    "", "DY: next move :math:`Y`"
    "3D_ JOINT ", "DX: Next move :math:`X`"
    "", "DY: next move :math:`Y`"
    "", "DZ: next move :math:`Z`"
    "XXX_ELDI ", "DX: next move :math:`X`"
    "", "DY: next move :math:`Y`"


.. csv-table::

    "XXX_INTERFACE and XXX_INTERFACE_S ", "DX: next move :math:`X`
    or SIGNmultiplicateur by Lagrange"
    "", "DY: next move :math:`Y`
    or SITX: Lagrange multiplier"
    "3D_ INTERFACE and 3D_ INTERFACE_S ", "DX: next move :math:`X`
    or SIGNmultiplicateur by Lagrange"
    "", "DY: next move :math:`Y`
    or SITX: Lagrange multiplier"
    "", "DZ: next move :math:`Z`
    or SITY: Lagrange multiplier"


For the location of displacement and Lagrange ddls for INTERFACE models, see doc R3.06.13.


Support mesh
--------------

The support meshes for finite elements are quadrangles, hexahedra or pentahedra. The elements are isoparametric for the degrees of freedom of movement.


.. csv-table::

    "**Modeling**", "**Mesh**", "**Interpolation**", "**Remarks**"
    "XXX_JOINT "," QUAD4 ", "linear", ""
    "3D_ JOINT "," HEXA8 ", "linear", ""
    "", "PENTA6 ", "linear", ""
    "XXX_ELDI "," QUAD4 ", "linear", ""
    "XXX_INTERFACE and XXX_INTERFACE_S "," QUAD8 ", "quadratic in motion
    linear in Lagrange", "mixed formulation"
    "3D_ INTERFACE and 3D_ INTERFACE_S "," HEXA20 ", "quadratic in motion
    linear in Lagrange", "mixed formulation"
    "", "PENTA15 ", "quadratic in motion
    linear in Lagrange", "mixed formulation"