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

Geometry
---------

Consider a 1m long bar on the :math:`X` axis, going from node :math:`A` to node :math:`B`.


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

The material has an elastic part:

• :math:`E=190000\mathit{MPa}`

• :math:`\mathrm{\nu }=0.1` The law is one-dimensional, :math:`\mathrm{\nu }` is not used.

The part corresponding to the relaxation law of class 1 cable, for modeling A and C:

• :math:`\mathit{fprg}=1800.0\mathit{MPa}`,

• :math:`\mathit{kecoul}=0.800646195576`, cf. note [:ref:`R5.03.09 <R5.03.09>`] for unity.

The following parameters are dimensionless:

• :math:`\mathit{necoul}=8.50471392583`

• :math:`\mathit{necrou}=1.45855523878`

• :math:`\mathit{becrou}=49503.9155816`

• :math:`\mathit{cecrou}=33211.7441074`

The part corresponding to the relaxation law of class 2 cable, for modeling B:

• :math:`\mathit{fprg}=1800.0\mathit{MPa}`,

• :math:`\mathit{kecoul}=1.45558790406`, cf. note [:ref:`R5.03.09 <R5.03.09>`] for unity.

The following parameters are dimensionless:

• :math:`\mathit{necoul}=6.10743489945`

• :math:`\mathit{necrou}=1.33140738573`

• :math:`\mathit{becrou}=47893.0394375`

• :math:`\mathit{cecrou}=32941.1476218`


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

Node :math:`A` is embedded, at node :math:`B` the displacement is imposed in the direction :math:`X`.


Initial conditions
--------------------

Nil.