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


Geometry
---------

A bundle of multi-fiber Euler beams with a length of 1 m in the X direction is described using ten multi-fiber Euler beams positioned in the YZ plane. The following table shows the position of these ten beams:


.. csv-table::

    "Beam number", "YP", "ZP"
    "1", "0", "0"
    "2", "0", "-2"
    "3", "0", "3"
    "4", "4", "0"
    "5", "-1", "0"
    "6", "-3", "-1"
    "7", "-3", "3"
    "8", "-2", "-3"
    "9", "5", "-3"
    "10", "1", "-3"


All the beams are discretized using 4 fibers with a surface area of 0.02m2. These are positioned, in relation to the beam (in m):


.. csv-table::

    "Fiber number", "Y position", "Z position"
    "1", "0.1", "0"
    "2", "0", "0.1"
    "3", "-0,1", "0"
    "4", "0", "-0,1"



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



.. math::
: label: EQ-None

    E=2.0\ mathit {E11}\ mathit {Pa}

.. csv-table::

    ":math:`\mathit{Gx}=1\mathit{Pa}` ", "Flexural modulus"
    ":math:`\mathrm{\nu }=\mathrm{0,3}` ", "Poisson's ratio"
    ":math:`A=1.E-11` ", "Constant"
    ":math:`B=10.E-10` ", "Constant"
    ":math:`C=0` ", "Constant"
    ":math:`\mathit{CSTE}\text{\_}\mathit{TPS}=100` ", "Time constant"
    ":math:`\mathit{ENER}\text{\_}\mathit{ACT}` ", "Activation Energy"
    ":math:`\mathit{GRAN}\text{\_}\mathit{FO}=\mathit{INTERGR}` ", "Law of growth"