1. Reference problem#
1.1. Geometry#
height: \(h\mathrm{=}1m\)
width: \(l\mathrm{=}1m\)
thickness: \(e\mathrm{=}1m\)
Point coordinates (in meters):
\(A\) |
|
|
|
|
\(x\) |
0.5 |
|||
\(y\) |
0.5 |
|||
\(z\) |
0.5 |
1.2. Property of materials#
\(E\mathrm{=}1500.00{10}^{3}\mathit{kPa}\)
\(\nu \mathrm{=}0.27\)
1.3. Initial conditions, boundary conditions, and loading#
Phase 1:
The sample is brought to a homogeneous state:
, by imposing the corresponding confinement pressure on the front, right lateral and upper faces. The movements are blocked on the back (\({u}_{x}\mathrm{=}0\)), left side (\({u}_{y}\mathrm{=}0\)) and bottom (\({u}_{z}\mathrm{=}0\)) faces.
Phase 2:
The movements are maintained blocked on the rear (\({u}_{x}\mathrm{=}0\)), left lateral (\({u}_{y}\mathrm{=}0\)) and lower (\({u}_{z}\mathrm{=}0\)) faces, as well as the confinement pressure on the front and right lateral faces. An imposed displacement is applied on the upper face:
, so as to obtain a deformation \({\varepsilon }_{\mathit{zz}}\mathrm{=}\mathrm{-}20\text{\%}\) (counted from the start of phase 2).