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


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

This is a D_ PLAN_HM modeling using quadratic HM- XFEM elements. The bar on which the modeling is performed is divided into 5 QUAD8. The interface is unmeshed and cuts off the central element. So we have 3 HM- XFEM elements and 2 classical HM elements. As indicated in the Figure, the 3 elements XFEM are subdivided into sub-triangles (to perform the Gauss-Legendre integration on either side of the lips of the interface, but these triangular sub-elements are not mesh elements).


.. image:: images/1000000000000192000001828D39B479CFEB16BE.png
    :width: 4.1874in
    :height: 4.0209in


.. _RefImage_1000000000000192000001828D39B479CFEB16BE.png:

**Figure** 3.1-a **: Characteristics of modelling**


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

The mesh consists of 5 quadratic quadratic quadratic cells (QUAD8).


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

The results (resolution with STAT_NON_LINE) are summarized in the table below for each of the 8 calculation moments. To test all the nodes of the bar at the same time, we calculate MIN and MAX.


.. csv-table::

    "**Quantities tested**", "**Reference type**", "**Reference value**", "**Tolerance (%)**"
    "LAGS_C MIN (instant 1)", "'ANALYTIQUE'", "-0.116 MPa ", "0.0001"
    "LAGS_C MAX (instant 1)", "'ANALYTIQUE'", "-0.116 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 1)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 1)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 2)", "'ANALYTIQUE'", "0.116 MPa ", "0.0001"
    "LAGS_C MAX (instant 2)", "'ANALYTIQUE'", "0.116 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 2)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 2)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 3)", "'ANALYTIQUE'", "1.0173120729 MPa ", "0.0001"
    "LAGS_C MAX (instant 3)", "'ANALYTIQUE'", "1.0173120729 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 3)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 3)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 4)", "'ANALYTIQUE'", "0.50865603645 MPa ", "0.0001"
    "LAGS_C MAX (instant 4)", "'ANALYTIQUE'", "0.50865603645 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 4)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 4)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 5)", "'ANALYTIQUE'", "''", "0.69758542141 MPa ", "0.0001"
    "LAGS_C MAX (instant 5)", "'ANALYTIQUE'", "''", "0.69758542141 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 5)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 5)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 6)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MAX (instant 6)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 6)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 6)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 7)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MAX (instant 7)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 7)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 7)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_C MIN (instant 8)", "'ANALYTIQUE'", "-0.116 MPa ", "0.0001"
    "LAGS_C MAX (instant 8)", "'ANALYTIQUE'", "-0.116 MPa ", "0.0001"
    "LAGS_F1 MIN (instant 8)", "'ANALYTIQUE'", "0 MPa ", "0.0001"
    "LAGS_F1 MAX (instant 8)", "'ANALYTIQUE'", "0 MPa ", "0.0001"