1. Reference problem#

1.1. Geometry#

height: \(h\mathrm{=}1m\)

width: \(l\mathrm{=}1m\)

thickness: \(e\mathrm{=}1m\)

_images/1000682400002C6B0000221CF920E400191AE434.svg

Point coordinates (in meters):

\(A\)

\(B\)

\(C\)

\(x\)

0.5

\(y\)

0.5

\(z\)

0.5

1.2. Property of materials#

\(E\mathrm{=}\mathrm{35,6616541}{10}^{3}\mathit{kPa}\)

\(\nu \mathrm{=}\mathrm{0,15037594}\)

Settings CJS3:

\(\beta \mathrm{=}\mathrm{-}\mathrm{0,55}\)

\(\gamma \mathrm{=}\mathrm{0,82}\)

\({R}_{m}\mathrm{=}\mathrm{0,05}\)

\({R}_{c}\mathrm{=}\mathrm{0,265}\)

\(n\mathrm{=}\mathrm{0,6}\)

\({K}_{o}^{p}\mathrm{=}\mathrm{25,5}{10}^{3}\mathit{kPa}\)

\(b\mathrm{=}7.0\mathit{kPa}\)

\(\mu \mathrm{=}0.021\)

\({p}_{\mathit{co}}\mathrm{=}\mathrm{-}600\mathit{kPa}\)

\(c\mathrm{=}30.0\)

\({P}_{a}\mathrm{=}\mathrm{-}100\mathit{kPa}\)

1.3. Initial conditions, boundary conditions, and loading#

Phase 1:

The sample is brought to a homogeneous state:

_images/Object_1.svg

, by imposing the corresponding confinement pressure on the front, right lateral and upper faces. The movements are blocked on the back sides (

_images/Object_2.svg

), left lateral (

_images/Object_3.svg

) and lower (

_images/Object_4.svg

).

Phase 2:

We keep the movements blocked on the rear faces (

_images/Object_5.svg

), left lateral (

_images/Object_6.svg

) and lower (

_images/Object_7.svg

), as well as the confinement pressure on the front and right lateral faces. An imposed displacement is applied on the upper face:

_images/Object_8.svg

, so as to obtain a deformation

_images/Object_9.svg

(counted from the start of phase 2).