1. Reference problem#
1.1. Geometry, boundary conditions and loads#
Template \(\mathrm{3D}\)
Consider a tab with dimensions \(50\mathrm{\times }20\mathrm{\times }3.5\mathit{mm}\). It is embedded on the left surface \((\mathrm{S4})\) and a movement of \(49.4142\mathrm{mm}\) following \(x\) is imposed on the right face \((\mathrm{S6})\).
Y
Next pull \(x\):
\(u=49.4142\mathrm{mm}\)
\(v=w=0\)
Face S6
Face S4
Embedding:
\(u=v=w=0\)
X
Length: \(\mathrm{50mm}\)
Height: \(\mathrm{20mm}\)
Thickness: \(3.5\mathrm{mm}\)
Flat model (plane deformations)
Consider a tab with dimensions \(100\times 25\mathrm{mm}\). It is embedded on the left surface \((\mathrm{L4})\) and a movement of \(50\mathrm{mm}\) following \(x\) is imposed on the right face \((\mathrm{L2})\).
Y
Next pull \(x\):
\(u=50\mathrm{mm}\)
\(v=0\)
Embedding:
\(u=v=0\)
L2 side
L4 side
X
Length: \(\mathrm{100mm}\)
Height: \(\mathrm{25mm}\)
The load is increasing, in 20 increments.
1.2. Material properties#
We test in Signorini-type hyperelasticity.
Behavior ELAS_HYPER |
Signorin |
\(\mathit{C10}\) |
|
\(\mathit{C01}\) |
|
\(\mathrm{C20}\) |
|
\(K\) |
|