1. Reference problem#
1.1. Geometry#
A section of C.I.G (corresponding to an experiment carried out on the Renardières site). The cable is modelled by Euler multifiber beam elements. To model the behavior of the ground, 6 bars are associated with each mesh of the line: 3 in each node of the mesh. At each node, a bar is oriented in the same direction as the C.I.G, and makes it possible to take into account the axial forces of the ground on the C.I.G. A bar is oriented vertically, and makes it possible to take into account the (asymmetric) action of the ground along the vertical. The third is oriented so as to complete the trihedron.
The characteristics of the sections are:
Elements of POUTRE: circular section, Outer radius 0.25765, Thickness 0.01
Elements of BARRE: any section, with area \(A=1\) (without physical meaning)
1.2. Material properties#
C.I.G |
||
elasticity |
\(E=7.2E10\mathrm{Pa}\) \(\nu =\mathrm{0,3}\) |
|
plasticity of beams with work hardening |
\(D\text{\_}\mathit{SIGM}\text{\_}\mathit{EPSI}\mathrm{=}0.\) |
|
Horizontal bars |
||
elasticity |
\(E=\mathrm{5000000.Pa}\) \(\nu =\mathrm{0,3}\) |
|
Linear work hardening |
\(D\mathrm{-}\mathit{SIGM}\mathrm{-}\mathit{EPSI}\mathrm{=}1000000\mathit{Pa}\) |
|
Vertical bars |
||
elasticity |
\(E=\mathrm{5000000.Pa}\) \(\nu =\mathrm{0,3}\) |
|
Linear work hardening |
\(\mathrm{DT}\text{\_}\mathrm{SIGM}\text{\_}\mathrm{EPSI}=1000000.\) \(\mathrm{DC}-\mathrm{SIGM}-\mathrm{EPSI}=1000000.\) |
|
1.3. Boundary conditions and loads#
The ends (not connected to CIG) of all the bars are locked. Point \(\mathrm{PC01}\) is embedded. Point \(\mathrm{PC02}\) has all its degrees of freedom blocked, except \(\mathrm{DZ}\) for which the following displacement story is imposed:
12Instant |
\(\mathrm{DZ}(m)\) |
0 |
0 |
1 |
-0.004 |
2 |
-0.004 |
3 |
0.002 |
4 |
0.002 |