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

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 locked in the X direction.

Nodes N1 and N3 are subject to displacement :math:`U(t)`, speed :math:`V(t)`, and acceleration :math:`\gamma (t)` in Y and Z directions.

Travel conditions are functions of time:

:math:`\mathit{Depl}={U}_{1.}\mathrm{sin}(2\mathrm{\pi }.{f}_{1}.t)+{U}_{2.}\mathrm{sin}(2\mathrm{\pi }.{f}_{2}.t)+{U}_{3.}\mathrm{sin}(2\mathrm{\pi }.{f}_{3}.t)`

Following the direction :math:`Y`: :math:`(u,f)=[(\mathrm{0.20,0}.80),(\mathrm{0.15,1}.50),(\mathrm{0.10,3}.00)]`

Following the direction :math:`Z`: :math:`(u,f)=[(-\mathrm{0.20,0}.90),(\mathrm{0.15,2}.00),(-\mathrm{0.10,2}.80)]`

The speed condition as a function of time: :math:`V(t)=\dot{U}(t)`

The accelerating condition as a function of time: :math:`\gamma (t)=\ddot{U}(t)`

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

The quantities tested are the displacements in the plane, the forces in the plane, the dissipation.

Tolerances are by default.


.. csv-table::

    "**INST**", "**FY**", "**UY**", "**UY**", "**FZ**", "**UZ**", "**DISSI**"
    "1.78500E-01", "-9.52285E+00", "-9.52285E-03", "1.73773E+00", "1.73773E-03", "1.73773E-03", "0.00000E+00"
    "6.39500E-01", "2.34800E+01", "2.34800E+01", "2.34800E-02", "-5.42638E-02", "-5.42638E-02", "0.00000E+00"
    "1.45225E+00", "-1.03177E+02", "-1.62113E-01", "6.13078E+01", "1.16245E-01", "1.16245E-01", "8.96451E+00"
    "2.06700E+00", "-9.23386E+00", "1.55673E-02", "-1.21557E+02", "-1.52510E-01", "-1.52510E-01", "2.70221E+01"
    "2.77525E+00", "-1.21363E+02", "-2.71352E-01", "-3.26937E+01", "-3.65363E-02", "-3.65363E-02", "6.40153E+01"
    "3.74625E+00", "-1.31646E+02", "2.73299E-02", "3.30076E+01", "7.57833E-02", "1.67592E+02", "1.67592E+02"
    "4.78900E+00", "-1.22664E+02", "1.01036E-02", "9.77728E+01", "3.89168E-01", "3.89168E-01", "4.11937E+02"
    "5.42725E+00", "-1.19938E+02", "-4.83249E-01", "1.16791E+02", "1.15451E-01", "1.15451E-01", "5.47000E+02"
    "6.38125E+00", "-1.68193E+02", "-1.67892E-01", "-8.11705E+01", "-1.68091E-01", "-1.68091E-01", "8.17662E+02"
    "7.48150E+00", "-1.81713E+02", "-1.39231E-01", "-1.01454E+02", "-1.55927E-01", "-1.55927E-01", "1.15084E+03"
    "8.12900E+00", "-6.66188E+01", "-2.22304E-01", "-2.04507E+02", "-2.21986E-02", "-2.21986E-02", "1.27499E+03"
    "8.54875E+00", "1.07608E+02", "4.10184E-01", "-1.96228E+02", "-3.94746E-01", "1.07608E+02", "1.07608E+02", "1.07608E+02", "1.07608E+02"
    "9.34000E+00", "3.63232E+01", "-4.42223E-02", "2.31439E+02", "3.07575E-01", "3.07575E-01", "1.60789E+03"
    "9.85900E+00", "2.03147E+02", "3.46661E-01", "1.28415E+02", "-1.57569E-01", "-1.57569E-01", "1.72148E+03"
    "1.03890E+01", "-4.47134E+01", "-3.12905E-01", "2.43579E+02", "3.16338E-01", "3.16338E-01", "1.86254E+03"
    "1.09538E+01", "2.41230E+02", "2.67707E-01", "-2.13434E+01", "-2.37630E-01", "-2.37630E-01", "1.96976E+03"
    "1.16903E+01", "2.09151E+01", "-2.18357E-01", "-2.64440E+02", "-2.40384E-01", "2.40384E-01", "2.21945E+03"
    "1.20625E+01", "-3.54744E+01", "5.86898E-03", "-2.67467E+02", "-3.32844E-01", "-3.32844E-01", "2.31549E+03"
    "1.27673E+01", "-2.63252E+02", "-5.27831E-01", "-8.66062E+01", "-5.14733E-02", "2.47370E+03"
    "1.37373E+01", "-2.00470E+02", "9.86344E-02", "1.49167E+02", "2.15190E-02", "2.15190E-02", "2.77046E+03"
    "1.45615E+01", "3.03132E+02", "5.54386E-01", "-1.74536E+01", "-5.61822E-02", "3.08165E+03"
    "1.52145E+01", "-1.03148E+02", "-1.33764E-01", "-2.91981E+02", "-2.84559E-01", "-2.84559E-01", "3.22775E+03"
    "1.58820E+01", "3.00718E+02", "4.68026E-01", "1.02959E+02", "4.01976E-01", "3.00718E+02", "3.43094E+03"
    "1.68698E+01", "-7.90613E+01", "3.51214E-02", "3.09922E+02", "5.03429E-01", "5.03429E-01", "3.48093E+03"
    "1.76978E+01", "-2.08598E+02", "-1.23050E-01", "-2.43347E+02", "-9.42271E-02", "-9.42271E-02", "3.49787E+03"
    "1.85438E+01", "1.43829E+02", "2.29377E-01", "-1.77043E+02", "-2.79236E-02", "-2.79236E-02", "3.49787E+03"
    "1.99633E+01", "-6.95902E+01", "1.59582E-02", "-1.53634E+02", "-4.51478E-03", "-4.51478E-03", "3.49787E+03"