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


Geometry
----------


.. image:: images/100000000000039E000001A595C1DA74F6FD8CAD.png
    :width: 6.6626in
    :height: 2.9236in


.. _RefImage_100000000000039E000001A595C1DA74F6FD8CAD.png:


.. csv-table::

    "Ray", ":math:`R\mathrm{=}\mathrm{10m}`"
    "Thickness", ":math:`t\mathrm{=}\mathrm{0.04m}`"


Point coordinates:


.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`C`"
    ":math:`x` ", "10. ", "0. ", "0."
    ":math:`y` ", "0. ", "10. ", "0."
    ":math:`z` ", "0. ", "0. ", "10."



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

:math:`E\mathrm{=}6.825{10}^{7}\mathit{Pa}`

:math:`\nu \mathrm{=}0.3`


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

Over a quarter of the hemisphere:


.. csv-table::

    "Side :math:`\mathit{AC}` ", "symmetry with respect to plane :math:`\mathit{xz}`"
    "Side :math:`\mathit{BC}` ", "symmetry with respect to plane :math:`\mathit{yz}`"
    "Side :math:`\mathit{AB}` ", "symmetry with respect to plane :math:`\mathit{xy}`"


Uniform external pressure :math:`P\mathrm{=}\mathrm{1.Pa}`