Reference problem
=====================

Device description
-------------------------

The non-linear element is represented by the rheological model below.


.. image:: images/10000201000005DC000001AAC29158E5BBCDE04A.png
    :width: 4.2953in
    :height: 1.2201in


.. _RefImage_10000201000005DC000001AAC29158E5BBCDE04A.png:

**Figure** a **: Device model.**

Length of SEG2: :math:`L=0.1m`

The equations governing behavior are in [:ref:`R5.03.17 <R5.03.17>`].


Modeling
------------

The modeling tested is on an element DIS_T, mesh SEG2. The characteristic of the discrete element is of the type: K_T_D_L.

*Note: The units of the parameters must agree with the unit of effort, the unit of lengths* [:ref:`R5.03.17 <R5.03.17>`]. For all models the units are homogeneous to [N], [m].


A, B models
~~~~~~~~~~~~~~~~~~~

These models make it possible to test the non-linear static cyclic behavior of the law.


Material properties
--------------------

Modeling A
~~~~~~~~~~~~~~~

The properties are:

• the non-linear function [:ref:`R5.03.17 <R5.03.17>`].

• the values of dist1 and dist2. For this modeling, they are zero.

The table shows the x-axis and ordinate values of the function.

.. csv-table::

    "X [m]", "0.00", "0.200", "0.200", "0.500", "0.700", "0.950", "1.000"
    "Force [N]", "0.00", "400.0", "400.0", "450.0", "600.0", "700.0", "1000.0"


**Table** a **:**: ** Abscissa and ordinates of the function.

The function is extended linearly to the right.

The figure shows the non-linear behavior used in the test case.


.. image:: images/100002010000093A0000062675E4D990EA30831E.png
    :width: 6.3382in
    :height: 4.2228in


.. _RefImage_100002010000093A0000062675E4D990EA30831E.png:

**Figure** b **: Nonlinear behavior.**


B modeling
~~~~~~~~~~~~~~~

The properties are:

• the non-linear function [:ref:`R5.03.17 <R5.03.17>`]. Same as modeling "a".

• the values of dist1 and dist2. For this modeling :math:`\text{DIST1}=0.50\ast L`, :math:`\text{DIST2}=0.25\ast L`


.. _DdeLink__11456_1213890583:


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

A, B models
~~~~~~~~~~~~~~~~~~~

The discrete is a SEG2, the node N2 is blocked, on the node N1 the movement condition is imposed.

The moving condition is a function of time, longSeg2 is the length of SEG2.

.. csv-table::

    "**INST**", "**DX**"
    "0.0", "0.0*longseg2"
    "1.0", "0.8*longseg2"
    "2.0", "2.0*Longseg2"
    "3.0", "4.0* LongSeg2"
    "3.5", "3.0*longseg2"
    "5.0", "0.0*longseg2"
    "8.0", "3.0*longseg2"
    "10.0", "15.0*longseg2"
    "20.0", "0.0*longseg2"


**Table** b **:** Load function.