B modeling
==============


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:

.. image:: images/Object_88.svg
    :width: 172
    :height: 26


.. _RefImage_Object_88.svg:

(confinement pressure)

Boundary conditions:

.. image:: images/Object_89.svg
    :width: 172
    :height: 26


.. _RefImage_Object_89.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:`(\mathit{MPa})` ", "**Reference Solution**"
    "Point :math:`D` ", "16"," :math:`{\sigma }_{\mathit{xx}}` ", "-12"
    "", "80"," :math:`{\sigma }_{\mathit{xx}}` ", "-12"
    "", "16"," :math:`{\sigma }_{\mathit{zz}}` ", "-12"
    "", "80"," :math:`{\sigma }_{\mathit{zz}}` ", "-12"
    "", "16"," :math:`{\sigma }_{\mathit{yy}}` ", "-30"
    "", "20"," :math:`{\sigma }_{\mathit{yy}}` ", "-33.4287301"
    "", "36"," :math:`{\sigma }_{\mathit{yy}}` ", "-43.5095082"
    "", "49"," :math:`{\sigma }_{\mathit{yy}}` ", "-50.4230084"
    "", "52"," :math:`{\sigma }_{\mathit{yy}}` ", "-48.4775526"
    "", "56"," :math:`{\sigma }_{\mathit{yy}}` ", "-46.4935733"
    "", "60"," :math:`{\sigma }_{\mathit{yy}}` ", "-45.0479008"
    "", "70"," :math:`{\sigma }_{\mathit{yy}}` ", "-43.1174944"
    "", "80"," :math:`{\sigma }_{\mathit{yy}}` ", "-42.8023313"



.. csv-table::

    "**Location**", "**Number** **Order Number**", "**Deformation**", "**Reference Solution**"
    "Point :math:`D` ", "16"," :math:`{\varepsilon }_{\mathit{xx}}` ", "1.2 E-3"
    "", "20"," :math:`{\varepsilon }_{\mathit{xx}}` ", "1.61504 E-3"
    "", "36"," :math:`{\varepsilon }_{\mathit{xx}}` ", "3.66549 E-3"
    "", "49"," :math:`{\varepsilon }_{\mathit{xx}}` ", "5.46863 E-3"
    "", "52"," :math:`{\varepsilon }_{\mathit{xx}}` ", "6.265 E-3"
    "", "56"," :math:`{\varepsilon }_{\mathit{xx}}` ", "7.26131 E-3"
    "", "60"," :math:`{\varepsilon }_{\mathit{xx}}` ", "8.19982 E-3"
    "", "70"," :math:`{\varepsilon }_{\mathit{xx}}` ", "10.36527 E-3"
    "", "80"," :math:`{\varepsilon }_{\mathit{xx}}` ", "12.35726E-3"
    "", "16"," :math:`{\varepsilon }_{\mathit{yy}}` ", "-0.004"
    "", "80"," :math:`{\varepsilon }_{\mathit{yy}}` ", "-0.02"