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

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

A DIS_TR_L element with 2 nodes of zero size (idem 1.1).

Node :math:`\mathrm{N2}`: we block everything.

A :math:`\mathrm{N3}` node: we impose :math:`{F}_{x}` in steps :math:`\mathrm{1 000 }N` and :math:`{M}_{y}` in steps of :math:`\mathrm{3 000 }\mathrm{N.mm}` with the time card:

.. csv-table::

    ":math:`t` ", "0. ", "1. ", "2. ", "3. ", "4. ", "6. ", "8. ", "10. ", "11. ", "12."
    "", "0. ", "6. ", "7", "17. ", "40. ", "20. ", "42", "0. ", "-6. ", "-17."



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

1 SEG2.

2 knots.


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

.. csv-table::

    "**Identification**", "**Reference**", "**% difference**"
    "Displacement :math:`\mathrm{UX}`, Node :math:`\mathrm{N3}`, Order 2", "9.468E-02", "(Direct calculation and"
    "Displacement :math:`\mathrm{DRY}`, Node :math:`\mathrm{N3}`, Order 2", "1.275E-03", "exact)"
    "Displacement :math:`\mathrm{UX}`, Node :math:`\mathrm{N3}`, Order 8", "3.7366", "Incremental calculation"
    "Displacement :math:`\mathrm{DRY}`, Node :math:`\mathrm{N3}`, Order 8", "1.3754E-02", "exact"
    "Displacement :math:`\mathrm{UX}`, Node :math:`\mathrm{N3}`, Order 12", "2.6799", "Incremental calculation"
    "Displacement :math:`\mathrm{DRY}`, Node :math:`\mathrm{N3}`, Order 12", "5.3598E-04", "exact"
    "Internal Variable 1, Node :math:`\mathrm{N3}`, Order 2", "9.6574E-02", "Exact Direct Calculation"
    "Internal Variable 1, Node :math:`\mathrm{N3}`, Order 3", "1.07417", "Exact Incremental Calculation"
    "Internal Variable 1, Node :math:`\mathrm{N3}`, Order 11", "9.6574E-02", "Exact Incremental Calculation"
    "Internal Variable 1, Node :math:`\mathrm{N3}`, Order 12", "1.07417", "Exact Incremental Calculation"



note
--------

The reference solution is the numerical solution of a problem to an unknown determined by*Code_Aster*.