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


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

The cantilever beam is 0.35 m long and extends between X = 0.15 m and X = 0.5 m. It is modelled in 3D close to the embedment (between 0 and 0.22 m) and continues with a beam modeling. The 1D-3D connection is made in volume by the 3D_ POU_ARLEQUIN option of the LIAISON_ELEM keyword of AFFE_CHAR_MECA. The overlap zone extends between the 0.2 and 0.22 m positions.

The structure is modelled by Timoshenko beam elements (POU_D_T) and linear hexahedral elements (HEXA8).


.. image:: images/100002000000050000000189E1D5642A1A838935.png
    :width: 5.4953in
    :height: 1.7563in


.. _RefImage_100002000000050000000189E1D5642A1A838935.png:

**Image** 3.1-1 **: 1D-3D mixed model mesh**

DYNA_VIBRA (transient calculation on a physical basis) calculates the dynamic response of the structure, due to a nodal force of 500 N applied at the end node of the 1D mesh (located at X = 0.5 m).


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


.. csv-table::

    "Number of stitches HEXA20 ", "224"
    "Number of stitches POU_D_T ", "7"


**Table** 3.2-1


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

The tables below give the numerical values tested in this test case. These are the minimum and maximum movements in Z of a 3D mesh node located at X = 0.5 m.


.. csv-table::

    "**Identification**", "**Maximum instants**", "**Reference type**", "**Reference value**", "**Tolerance**"
    "Minimal Z displacement", "20 s", "'AUTRE_ASTER'", "-0.00268654"," 7.00%"
    "Maximum Z displacement", "60 s", "'AUTRE_ASTER'", "+0.00268644"," 7.00%"


**Table** 3.3-1 **: Summary of tested results**

The responses of the 1D and mixed 1D-3D models of the structure are represented on the graph below.


.. image:: images/10000200000003530000021C59919C33B60611EB.png
    :width: 4.8965in
    :height: 2.639in


.. _RefImage_10000200000003530000021C59919C33B60611EB.png:

Figure 3.3-2: Responses of 1D and mixed 1D-3D models