L modeling
==============


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

C_ PLAN plane stress modeling similar to B modeling except that we replace the VMIS_ISOT_LINE law by VMIS_ISOT_NL (reduced to the case of linear work hardening), which triggers the DEBORST algorithm to treat plane stresses.


.. image:: images/100000000000016F000000F5BF5F625E175118C1.png
    :width: 2.5453in
    :height: 1.5654in


.. _RefImage_100000000000016F000000F5BF5F625E175118C1.png:

Loading and boundary conditions are modelled by:


* Dirichlet condition (keyword DDL_IMPO):


* Node :math:`\mathit{N04}`, :math:`x\mathrm{=}y\mathrm{=}0`,


* Node :math:`\mathit{N02}`, :math:`x\mathrm{=}0`.


* Neumann condition, surface forces (keyword FORCE_CONTOUR):


* on the faces (skin elements): (1, 2), (2, 4), (4, 3) and (3, 1).


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

Number of knots: 4

Number of meshes and types: 1 QUAD4, 4 SEG2


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


.. csv-table::

    "**Identification**", "**Instants**", "**Reference**", "**% Tolerance**"
    ":math:`{\sigma }_{\mathrm{xx}}` "," :math:`A` ", "151.2", "0.1"
    ":math:`{\sigma }_{\mathrm{xy}}` "," :math:`A` ", "93.1", "0.1"
    ":math:`{\varepsilon }_{\mathrm{xx}}` "," :math:`A` ", "1.4830 10—2", "0.1"
    ":math:`{\varepsilon }_{\mathrm{xy}}` "," :math:`A` ", "1.3601 10—2", "0.1"
    ":math:`p` "," :math:`A` ", "2.055 10—2", "0.1"
    "Triaxiality rate :math:`\mathit{TRIAX}` "," :math:`A` ", "2.28 10—1", "0.1"
    ":math:`{\epsilon }_{\mathit{xx}}` "," :math:`B` ", "3.5265 10—2", "1.0"
    ":math:`{\epsilon }_{\mathit{xy}}` "," :math:`B` ", "2.0471 10—2", "1.0"
    ":math:`p` "," :math:`B` ", "4.2329 10—2", "1.0"
    "Triaxiality rate :math:`\mathit{TRIAX}` "," :math:`B` ", "3.25349 10—1", "0.1"
    ":math:`{\epsilon }_{\mathit{xx}}^{p}` "," :math:`B` ", "3.3946 10—2", "1.0"
    ":math:`{\epsilon }_{\mathit{xy}}^{p}` "," :math:`B` ", "2.0250 10—2", "1.0"