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

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


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Section :math:`r=\mathrm{0,02}\text{m}`

Element DISCRET 3D, 4 models:

• modeling DIS_T: T_L (mesh SEG2)

• modeling DIS_T: T_N (mesh POI)

• modeling DIS_TR: TR_L (mesh SEG2)

• modeling DIS_TR: TR_N (mesh POI)

Modeling DIS_T: T_L (:math:`\mathrm{AB}`: mesh SEG2)

• Zero displacement in :math:`A`: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=0`

• Strength in :math:`B`: :math:`\mathrm{FY}=-1000N`

Modeling DIS_T: T_N (mesh POI)

• Zero rotations in :math:`A`: :math:`\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0`

• Strength in :math:`B`: :math:`\mathrm{FY}=-1000N`

The mesh of this modeling is composed of a mesh POI (point :math:`A`) for the discrete element (T_N) and a mesh SEG2 (:math:`\mathrm{AB}`) for the beam element.

Modeling DIS_TR: TR_L (:math:`\mathrm{AB}`: mesh SEG2)

• Embedding in :math:`A`: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0`

• Loading in :math:`B`:

◦ :math:`\mathrm{FX}=1000N`

◦ :math:`\mathrm{FY}=1100N`

◦ :math:`\mathrm{FZ}=1200N`

◦ :math:`\mathrm{MX}=1300\mathrm{N.m}`

◦ :math:`\mathrm{MY}=1400\mathrm{N.m}`

◦ :math:`\mathrm{MZ}=1500\mathrm{N.m}`

Modeling DIS_TR: TR_N (:math:`A`: mesh POI)

• Loading in :math:`B`:

◦ :math:`\mathrm{FX}=1000N`

◦ :math:`\mathrm{FY}=1100N`

◦ :math:`\mathrm{FZ}=1200N`

◦ :math:`\mathrm{MX}=1300\mathrm{N.m}`

◦ :math:`\mathrm{MY}=1400\mathrm{N.m}`

◦ :math:`\mathrm{MZ}=1500\mathrm{N.m}`

The mesh of this modeling is composed of a mesh POI (point :math:`A`) for the discrete element (TR_N) and a mesh SEG2 (:math:`\mathrm{AB}`) for the beam element.


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

Models DIS_T, DIS_TR (T_L, TR_L)

- 1 SEG2

Modeling DIS_T, DIS_TR (T_N, TR_N)

- 1 SEG2

- 1 POI


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

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

Modeling DIS_T /T_L:

.. csv-table::

    "**Identification**", "**Reference**", "**Test**"
    "Normal effort — Field ELGA ", "-4.0000E+03"," ANALYTIQUE"
    "Normal effort — Field ELNO ", "-4.0000E+03"," ANALYTIQUE"
    "Normal effort — Field NOEU ", "-4.0000E+003"," ANALYTIQUE"


Modeling DIS_T /T_N:

.. csv-table::

    "**Identification**", "**Reference**", "**Test**"
    "Normal effort — Field ELGA ", "-4.0000E+03"," ANALYTIQUE"
    "Normal effort — Field ELNO ", "-4.0000E+03"," ANALYTIQUE"
    "Normal effort — Field NOEU ", "-4.0000E+003"," ANALYTIQUE"


Modeling DIS_TR/TR_N:

.. csv-table::

    "**Identification**", "**Reference**", "**Test**"
    "Normal effort — Field ELGA ", "2.0000E+03"," ANALYTIQUE"
    "Normal effort — Field ELNO ", "2.0000E+03"," ANALYTIQUE"
    "Normal effort — Field NOEU ", "2.0000E+03"," ANALYTIQUE"


Modeling DIS_TR/TR_N:

.. csv-table::

    "**Identification**", "**Reference**", "**Test**"
    "Normal effort — Field ELGA ", "2.0000E+03"," ANALYTIQUE"
    "Normal effort — Field ELNO ", "2.0000E+03"," ANALYTIQUE"
    "Normal effort — Field NOEU ", "2.0000E+03"," ANALYTIQUE"


For all models, tests ensure that the code is not regressed. They relate to the next move :math:`y` to node :math:`B` as well as to ITER_GLOB for the NUME_ORDRE =1.