Code_Aster ®
Version
7.3
Titrate:
WTNV101 - Triaxial Essai not drained with the model of Laigle
Date:
13/10/04
Author (S):
R. FERNANDES, C. CHAVANT Key
:
V7.31.101-A Page:
1/6

Organization (S): EDF-R & D/AMA
Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
Document: V7.31.101
WTNV101 - Triaxial Essai not drained with the model
of Laigle and with hydraulic coupling

Summary

This test makes it possible to validate the model of Laigle with hydraulic coupling. It is about a triaxial compression test in
not drained condition. The aspect not drained is modelled by a null voluminal deformation of the skeleton and it
hydraulic coupling is taken into account, the sample is completely saturated, the skeleton and the fluid being
presumedly incompressible.
By reason of symmetry, one is interested only in the eighth of a sample subjected to a triaxial compression test.
The level of containment is 8 MPa.

Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
HT-66/04/005/A

Code_Aster ®
Version
7.3
Titrate:
WTNV101 - Triaxial Essai not drained with the model of Laigle
Date:
13/10/04
Author (S):
R. FERNANDES, C. CHAVANT Key
:
V7.31.101-A Page:
2/6

1
Problem of reference

1.1 Geometry

Z
E
height:
H = 1 m
width:
L = 1 m
thickness: E = 1 m
C
H
With
B
y
X
L


Co-ordinates of the points (in meters):

With
B
C
D
X 0. 0.
0.5 1.
y 0. 1.
0.5 1.
Z 0. 0.
0.5
0.

1.2
Material property

E = 1500 103 kPa
= 0,27

=
;
132
.
0
ult
=.
0
;
005
E
m =
;
0
.
2
ult
m =.
7;
0
E
has =
;
65
.
0
E
m
=
;
0
.
15
peak
has =
;
5
.
0

peak
=
;
45
.
0
=
;
25
.
0
=
;
7
.
0
cjs
=
10

09
.
9
6
;
Pa
1
p
=
10

05
.
23
6
;
Pa
p2
Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
HT-66/04/005/A

Code_Aster ®
Version
7.3
Titrate:
WTNV101 - Triaxial Essai not drained with the model of Laigle
Date:
13/10/04
Author (S):
R. FERNANDES, C. CHAVANT Key
:
V7.31.101-A Page:
3/6

1.3
Initial conditions, boundary conditions, and loading

1.3.1 Modeling coupled with hydraulics
Phase 1:
One brings the sample in a homogeneous state of effective stresses: 0 = 0 = 0
xx
yy
zz, while imposing
corresponding total pressure on the front, side straight line and higher faces and while imposing
everywhere null water pressures. Displacements are blocked on the faces postpones (ux = 0),
side left (U y = 0) and lower (uz = 0).

Phase 2:
One maintains displacements blocked on the faces postpones (ux = 0), side left (uy = 0) and
lower (uz = 0). On all the faces, hydraulic flows are null.
One applies a displacement forced to the higher face in order to obtain a deformation
zz = - 20% (counted starting from the beginning of phase 2). On the front faces and side straight line, one
impose boundary conditions in total constraint:
.
0
N = (= 8MPa)

Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
HT-66/04/005/A

Code_Aster ®
Version
7.3
Titrate:
WTNV101 - Triaxial Essai not drained with the model of Laigle
Date:
13/10/04
Author (S):
R. FERNANDES, C. CHAVANT Key
:
V7.31.101-A Page:
4/6

2 Modeling
With

2.1
Characteristics of modeling

3D:
Z
B
y
X


Cutting: 1 in height, in width and thickness.

Loading of phase 1:
Confining pressure: 0 = 0 = 0
xx
yy
zz: ­ 8 MPa.
Coefficient of biot: 1
UN_SUR_K of water: 0
Modeling: 3d_HM

2.2
Characteristic of the grid

A number of nodes: 20
A number of meshs and types: 1 HEXA20 and 6 QUA8

2.3 Functionalities
tested

Commands



DEFI_MATERIAU LAIGLE



STAT_NON_LINE COMP_INCR RELATION “KIT_HM”

“RELATION_KIT”:
“LAIGLE”, “LIQU_SATU”, “HYDR_UTIL”

Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
HT-66/04/005/A

Code_Aster ®
Version
7.3
Titrate:
WTNV101 - Triaxial Essai not drained with the model of Laigle
Date:
13/10/04
Author (S):
R. FERNANDES, C. CHAVANT Key
:
V7.31.101-A Page:
5/6

3
Results of modeling A

3.1 Values
tested

Localization
Sequence number
Constraint (MPa)
Aster
Not D
1
xx
­ 6.91788E+06
2
xx
­ 5.44150E+06
3
xx
­ 3.96513E+06
4
xx
­ 2.64978E+06
8
xx
- 8.68544E+06
23
xx
­ 1.22666E+07
1
yy
­ 6.91788E+06
2
yy
­ 5.44150E+06
3
yy
­ 3.96513E+06
4
yy
­ 2.64978E+06
8
yy
­ 8.68544E+06
23
yy
­ 1.22666E+07
1
zz
­ 1.01642E+07
2
zz
­ 1.31170E+07
3
zz
­ 1.60697E+07
4
zz
­ 1.87406E+07
8
zz
­ 3.21306E+07
23
zz
­ 3.68000E+07
1
pressure
water
1.08211E+06
2
pressure
water
2.55849E+06

4
Summary of the results

This case test is a test of nonregression developed to validate the model of Laigle with coupling
hydraulics.
Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
HT-66/04/005/A

Code_Aster ®
Version
7.3
Titrate:
WTNV101 - Triaxial Essai not drained with the model of Laigle
Date:
13/10/04
Author (S):
R. FERNANDES, C. CHAVANT Key
:
V7.31.101-A Page:
6/6

Intentionally white left page.

Handbook of Validation
V7.31 booklet: Mechanical hydro Thermo in porous environment of voluminal structures
HT-66/04/005/A

Outline document