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


Geometry
---------


.. image:: images/1000020100000416000001D41A116EAD1F866743.png
    :width: 5.5634in
    :height: 2.5035in


.. _RefImage_1000020100000416000001D41A116EAD1F866743.png:

Width :math:`a=10\mathit{mm}`, thickness :math:`h=\mathrm{1mm}`.


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

The properties of the material constituting each of the three layers of the plate are as follows:

Orthotropic material:

.. csv-table::

    ":math:`{E}_{l}=25\mathrm{MPa}` "," :math:`{E}_{t}=1\mathrm{MPa}`"
    ":math:`{G}_{\text{lt}}={G}_{\text{lz}}=0.5\mathrm{MPa}` "," :math:`{G}_{\mathrm{tz}}=0.2\mathrm{MPa}`"
    ":math:`{\nu }_{\text{lt}}=0.25` ", ""


Stacking:

.. csv-table::

    "* orientation:", ":math:`[0/90/0]`"
    "* thickness:", ":math:`[h/4/h/2/h/4]`"



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

The loads are applied in such a way as to obtain uniform stress states in the plate:


* Load case 1: :math:`\mathrm{Mxx}=1` in the plate


* Embedding on :math:`\mathrm{AD}`


* Moment spread over :math:`\mathrm{BC}`: :math:`\mathrm{MX}=1`


* Load case 2: :math:`\mathrm{Myy}=1` in the plate


* Embedding on :math:`\mathrm{AB}`


* Moment spread over :math:`\mathrm{CD}`: :math:`\mathrm{MY}=1`


* Load case 3: :math:`\mathit{QY}=1` in the plate


* Embedding on :math:`\mathit{AB}`


* Effort spread over :math:`\mathit{CD}`: :math:`\mathit{FY}=-1`


* Load case 4: :math:`\mathit{QX}=1` in the plate


* Embedding on :math:`\mathit{AD}`


* Effort spread over :math:`\mathit{BC}`: :math:`\mathit{FY}=1`