1. Reference problem#

1.1. Geometry#

Consider a 1m long bar on the \(X\) axis, going from node \(A\) to node \(B\).

1.2. Material properties#

The material has an elastic part:

  • \(E=190000\mathit{MPa}\)

  • \(\mathrm{\nu }=0.1\) The law is one-dimensional, \(\mathrm{\nu }\) is not used.

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

  • \(\mathit{fprg}=1800.0\mathit{MPa}\),

  • \(\mathit{kecoul}=0.800646195576\), cf. note [R5.03.09] for unity.

The following parameters are dimensionless:

  • \(\mathit{necoul}=8.50471392583\)

  • \(\mathit{necrou}=1.45855523878\)

  • \(\mathit{becrou}=49503.9155816\)

  • \(\mathit{cecrou}=33211.7441074\)

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

  • \(\mathit{fprg}=1800.0\mathit{MPa}\),

  • \(\mathit{kecoul}=1.45558790406\), cf. note [R5.03.09] for unity.

The following parameters are dimensionless:

  • \(\mathit{necoul}=6.10743489945\)

  • \(\mathit{necrou}=1.33140738573\)

  • \(\mathit{becrou}=47893.0394375\)

  • \(\mathit{cecrou}=32941.1476218\)

1.3. Boundary conditions and loads#

Node \(A\) is embedded, at node \(B\) the displacement is imposed in the direction \(X\).

1.4. Initial conditions#

Nil.