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

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

The models tested are DIS_T on SEG2 meshes. The stiffness characteristics of the discretes are therefore of the type: K_T_D_L, M_T_D_N.


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

Number of knots: 3, number of stitches: 2, elements SEG2: 2, elements POI1: 1.


Boundary conditions and loads
-------------------------------------

Nodes N1, N2, N3 are stuck in the Y and Z directions.

Nodes N1 and N3 are subject to displacement :math:`U(t)` in the X direction.

:math:`U(t)\phantom{\rule{2em}{0ex}}=\phantom{\rule{2em}{0ex}}{U}_{0}.\mathrm{sin}(2\mathrm{\pi }.f.t)/(2\mathrm{\pi }.f)` with :math:`f=0.5\mathit{Hz}` and :math:`{U}_{0}=6.0\mathit{mm}`


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

The quantities are tested in non-regression, with the tolerances by default:

• the movement of the N2,

• the effort at the N2,

• the power dissipated in the non-linear device,

• the anelastic displacement of the non-linear device,

• the cumulative anelastic displacement of the non-linear device.

The moments used to test the different quantities are those when the effort reaches an extreme.


.. image:: images/100000000000034A0000025387C263B0908E1C23.png
    :width: 5.9055in
    :height: 4.1654in


.. _RefImage_100000000000034A0000025387C263B0908E1C23.png:

**Figure** 3.4-a **: Force-displacement response at the node** **N2.**

The following table gives the values of the internal variables related to behavior DIS_ECRO_TRAC, at the times when the force reaches an extrema.


.. csv-table::

    "**INST**", "**Strength**", "**Ux**", "**Power**", "**Up**", "**p**"
    "1.275", "4.0514895E+02", "1.7698260E+00", "2.7736499E+02", "7.5695300E-01", "1.2698160E+00"
    "2.525", "-4.3584585E+02", "-2.0647460E+00", "1.0140956E+03", "-9.7513100E-01", "-9.7513100E-01", "3.0786590E+00"
    "3.625", "4.3921743E+02", "7.7222800E-01", "1.2982852E+03", "-3.2581600E-01", "-3.2581600E-01", "3.7364570E+00"
    "4.525", "-9.1517870E+01", "-5.5460400E-01", "1.2982881E+03", "-3.2580900E-01", "-3.2580900E-01", "3.7364630E+00"
    "5.375", "3.5606066E+02", "5.6434300E-01", "1.2982881E+03", "-3.2580900E-01", "-3.2580900E-01", "3.7364630E+00"
    "6.400", "-4.3979664E+02", "-1.5724580E+00", "1.3629654E+03", "-4.7296700E-01", "-4.7296700E-01", "3.8850760E+00"
    "7.525", "4.4218454E+02", "1.4184290E+00", "1.7096346E+03", "3.1296800E-01", "3.1296800E-01", "4.6769870E+00"
    "8.550", "-4.4221218E+02", "-8.0345000E-01", "1.7144548E+03", "3.0208000E-01", "3.0208000E-01", "4.6879540E+00"
    "9.500", "2.2752558E+02", "8.7087900E-01", "1.7144615E+03", "3.0206500E-01", "4.6879690E+00"
    "10.450", "-4.0783182E+02", "-7.1751500E-01", "-7.1751500E-01", "1.7144615E+03", "3.0206500E-01", "4.6879690E+00"
    "11.450", "4.1833666E+02", "1.3479060E+00", "1.7144615E+03", "3.0206500E-01", "4.6879690E+00", "4.6879690E+00"
    "12.525", "-4.4304092E+02", "-1.1860040E+00", "1.8828698E+03", "-7.8402000E-02", "-7.8402000E-02", "5.0705250E+00"
    "13.525", "4.0986344E+02", "9.4625300E-01", "1.8828717E+03", "-7.8406000E-02", "5.0705290E+00", "5.0705290E+00"
    "14.500", "-3.2997442E+02", "-9.0334200E-01", "1.8828717E+03", "-7.8406000E-02", "-7.8406000E-02", "5.0705290E+00"
    "15.475", "3.8962561E+02", "8.9565800E-01", "1.8828717E+03", "-7.8406000E-02", "5.0705290E+00", "5.0705290E+00"
    "16.475", "-4.2729911E+02", "-1.1466540E+00", "1.8828717E+03", "-7.8406000E-02", "-7.8406000E-02", "5.0705290E+00"
    "17.500", "4.4325666E+02", "1.1421040E+00", "1.9326673E+03", "3.3962000E-02", "5.1834430E+00", "5.1834430E+00"
    "18.525", "-4.2314598E+02", "-1.0239020E+00", "1.9326676E+03", "3.3963000E-02", "5.1834440E+00", "5.1834440E+00"
    "19.500", "3.6609776E+02", "9.4920700E-01", "1.9326676E+03", "3.3963000E-02", "5.1834440E+00", "5.1834440E+00"
    "20.500", "-3.7879652E+02", "-9.1302900E-01", "1.9326676E+03", "3.3963000E-02", "5.1834440E+00", "5.1834440E+00"
    "21.475", "4.0795131E+02", "1.0538410E+00", "1.9326676E+03", "3.3963000E-02", "5.1834440E+00", "5.1834440E+00"
    "22.500", "-4.4331859E+02", "-1.1071190E+00", "1.9472008E+03", "1.1780000E-03", "1.1780000E-03", "5.2163830E+00"
    "23.525", "4.3377501E+02", "1.0856150E+00", "1.9472010E+03", "1.1770000E-03", "1.1770000E-03", "5.2163840E+00"
    "24.525", "-3.9592010E+02", "-9.8862300E-01", "1.9472010E+03", "1.1770000E-03", "1.1770000E-03", "5.2163840E+00"
    "25.500", "3.7185745E+02", "9.3082100E-01", "1.9472010E+03", "1.1770000E-03", "1.1770000E-03", "5.2163840E+00"
    "26.475", "-3.9223062E+02", "-9.7939900E-01", "1.9472010E+03", "1.1770000E-03", "1.1770000E-03", "5.2163840E+00"
    "27.475", "4.3090550E+02", "1.0784410E+00", "1.9472010E+03", "1.1770000E-03", "1.1770000E-03", "5.2163840E+00"
    "28.500", "-4.4332341E+02", "-1.1099060E+00", "1.9484309E+03", "-1.5970000E-03", "-1.5970000E-03", "5.2191710E+00"
    "29.525", "4.1639039E+02", "1.0393790E+00", "1.9484309E+03", "-1.5970000E-03", "-1.5970000E-03", "5.2191710E+00"
    "30.500", "-3.7903620E+02", "-9.4918800E-01", "1.9484309E+03", "-1.5970000E-03", "-1.5970000E-03", "5.2191710E+00"
    "31.500", "3.7762833E+02", "9.4247400E-01", "1.9484309E+03", "-1.5970000E-03", "-1.5970000E-03", "5.2191710E+00"