1. Reference problem#

1.1. Geometry#

_images/10000000000002800000028D9DF5DADE3F7AC98C.png

height: \(h=1m\)

width: \(l=1m\)

thickness: \(e=1m\)

Coordinates of points (in meters):

\(A\)

\(B\)

\(C\)

\(D\)

\(x\)

0.5

\(y\)

0.5

\(z\)

0.5

1.2. Initial conditions, boundary conditions, and loading#

Phase 1:

The sample is brought to a homogeneous state of effective stresses: \({\mathrm{\sigma }}_{\mathit{xx}}^{0}={\mathrm{\sigma }}_{\mathit{yy}}^{0}={\mathrm{\sigma }}_{\mathit{zz}}^{0}=0.5\mathit{MPa}\) in 7000 s, by imposing the corresponding total pressure on the front, right and upper faces and by imposing zero water pressures everywhere. The movements are blocked on the back (\({u}_{x}=0\)), left side (\({u}_{y}=0\)) and bottom (\({u}_{z}=0\)) faces.

Phase 2:

The movements are kept blocked on the rear (\({u}_{x}=0\)), left lateral (\({u}_{y}=0\)) and lower (\({u}_{z}=0\)) faces. On all sides, hydraulic flows are zero.

An imposed displacement is applied on the upper face so as to obtain a deformation \({\varepsilon }_{\mathit{zz}}\mathrm{=}\mathrm{-}\mathrm{0,06}\) (counted from the start of phase 2) in 13000 s. On the front and right lateral faces, limit conditions in total stress are maintained:

\(\mathrm{\sigma }\mathrm{.}n={\mathrm{\sigma }}_{0}(=0.5\mathit{MPa})\)