Modeling A
==============


Characteristics of modeling
-----------------------------------

:math:`\mathrm{2D}` axisymmetric modeling

D

Y

X

Z

Cut-out: :math:`\mathrm{1m}` in height, :math:`\mathrm{1m}` in width

Phase 1 loading: :math:`{\sigma }_{\mathit{xx}}^{0}\mathrm{=}{\sigma }_{\mathit{yy}}^{0}\mathrm{=}{\sigma }_{\mathit{zz}}^{0}\mathrm{=}\mathrm{-}5\mathit{MPa}` (confinement pressure)

Boundary conditions:

.. image:: images/Object_65.svg
    :width: 169
    :height: 29


.. _RefImage_Object_65.svg:


Characteristics of the mesh
----------------------------

Number of knots: 4

Number of meshes and types: 1 QUAD4 and 4 SEG2


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


.. csv-table::

    "**Location**", "**Order Number**", "**Constraint** :math:`(\mathrm{MPa})` ", "**Reference Solution**"
    "Point :math:`D` ", "12"," :math:`{\sigma }_{\mathit{xx}}` ", "-5"
    "", "70"," :math:`{\sigma }_{\mathit{xx}}` ", "-5"
    "", "12"," :math:`{\sigma }_{\mathit{zz}}` ", "-5"
    "", "70"," :math:`{\sigma }_{\mathit{zz}}` ", "-5"
    "", "12"," :math:`{\sigma }_{\mathit{yy}}` ", "-18.50"
    "", "16"," :math:`{\sigma }_{\mathit{yy}}` ", "-22.5675778"
    "", "32"," :math:`{\sigma }_{\mathit{yy}}` ", "-30.8797526"
    "", "41"," :math:`{\sigma }_{\mathit{yy}}` ", "-34.9342281"
    "", "42"," :math:`{\sigma }_{\mathit{yy}}` ", "-32.9136722"
    "", "46"," :math:`{\sigma }_{\mathit{yy}}` ", "-26.8215156"
    "", "52"," :math:`{\sigma }_{\mathit{yy}}` ", "-22.7560224"
    "", "70"," :math:`{\sigma }_{\mathit{yy}}` ", "-20.721512"



.. csv-table::

    "**Location**", "**Order Number**", "**Deformation**", "**Reference Solution**"
    "Point :math:`D` ", "12"," :math:`{\varepsilon }_{\mathit{xx}}` ", "0.9 E-3"
    "", "16"," :math:`{\varepsilon }_{\mathit{xx}}` ", "1.24644 E-3"
    "", "32"," :math:`{\varepsilon }_{\mathit{xx}}` ", "3.48682 E-3"
    "", "41"," :math:`{\varepsilon }_{\mathit{xx}}` ", "4.81373 E-3"
    "", "42"," :math:`{\varepsilon }_{\mathit{xx}}` ", "5.22653 E-3"
    "", "46"," :math:`{\varepsilon }_{\mathit{xx}}` ", "6.66403 E-3"
    "", "52"," :math:`{\varepsilon }_{\mathit{xx}}` ", "8.27551 E-3"
    "", "70"," :math:`{\varepsilon }_{\mathit{xx}}` ", "12.01865 E-3"
    "", "12"," :math:`{\varepsilon }_{\mathit{yy}}` ", "-0.003"
    "", "70"," :math:`{\varepsilon }_{\mathit{yy}}` ", "-0.0175"