1. Reference problem#
1.1. Geometry#
Point coordinates (in meters):
\(A\) |
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\(x\) |
0.5 |
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\(y\) |
0.5 |
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\(z\) |
0.5 |
1.2. Property of materials#
\(E\mathrm{=}\mathrm{22,4}{10}^{3}\mathit{kPa}\)
\(\nu \mathrm{=}\mathrm{0,3}\)
Biot coefficient \(b\mathrm{=}1\)
Water is supposed to be incompressible: \(\text{UN\_SUR\_K}\mathrm{=}0\)
Settings CJS1: \(\beta \mathrm{=}\mathrm{-}\mathrm{0,03}\) |
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1.3. Initial conditions, boundary conditions, and loading#
1.3.1. Pure mechanical modeling#
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 sides (
), left lateral (
) and lower (
).
Phase 2:
We keep the movements blocked on the rear faces (
), left lateral (
) and lower (
). An imposed displacement is applied on the upper face:
, so as to obtain a deformation
(counted from the start of phase 2). On the front and right lateral faces, the displacements are respectively imposed.
and
, so as to have zero volume deformation for the sample, that is to say finally that we impose
. This is the way to reproduce the behavior of the solid phase during an undrained triaxial test.
1.3.2. Modeling coupled with hydraulics#
Phase 1:
The sample is brought to a homogeneous state of effective constraints:
, by imposing the corresponding total pressure on the front, right lateral and upper faces and by imposing zero water pressures everywhere. The movements are blocked on the back sides (
), left lateral (
) and lower (
).
Phase 2:
We keep the movements blocked on the rear faces (
), left lateral (
) and lower (
).
On all sides, hydraulic flows are zero.
An imposed displacement is applied to the upper face in order to obtain a deformation.
(counted from the start of phase 2). On the front and right lateral faces, limit conditions under total stress are imposed: