1. Reference problem#

1.1. Geometry#

_images/Shape1.gif

We consider a cube with side \(\mathrm{1m}\) which rests on a plane (\({x}_{2}=0\) on the lower face), subjected to pressure \(F\) on the upper face and in a situation of plane deformation following \({x}_{3}\) (\({x}_{3}=0\) on the right and left faces). The cube can therefore only be stretched along axis \({x}_{1}\)).

1.2. Material properties#

We test on three different materials, corresponding to three common models in hyper-elasticity.

Behavior ELAS_HYPER

Mooney-Rivlin

Neo-Hookean

Signorin

C10

0.709

1.2345

0.1234

C01

2.3456

0

1.2345

C20

0

0

0

0.456

NAKED

0.499

0.499

0.499

1.3. Boundary conditions and loads#

  • Lower side

: \(\mathrm{DY}=0\)

  • Top side

: \(F=0.876\mathrm{Pa}\)

  • Left and right face

: \(\mathrm{DZ}=0\) in 3D, nothing in D_ PLAN

The load is increasing from \(F=0\) to \(F=\mathrm{0.876Pa}\), in 20 increments.