background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
1/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Organization (S):
EDF-R & D/AMA















Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.158



SSNV158 - Triaxial compression test drained with the model of
Laigle



Summary

This test makes it possible to validate the model of Laigle in rock mechanics (formalism CIH). It is about a test
triaxial in drained condition. Calculations are carried out only on the solid part of the ground without coupling
hydromechanics. Four levels of containment are applied (8 MPa ­ 4 MPa ­ 2 MPa ­ 1 MPa). By reason
of symmetry, one is interested only in the eighth of a sample subjected to a triaxial compression test. Modeling is
axisymmetric.

It is about a test of nonregression. Nevertheless, the results obtained with Code_Aster were post-treaties
with Excel and compared with those obtained with a private version of the software FLAC-2D.
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
2/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
1
Problem of reference
1.1 Geometry
Z
X
y
E
L
H
C
With
B
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 = 1500,00 10
3
kPa
= 0,27
;
10
05
.
23
;
10
09
.
9
;
7
.
0
;
25
.
0
;
45
.
0
;
5
.
0
;
0
.
15
;
65
.
0
;
0
.
7
;
0
.
2
;
005
.
0
;
132
.
0
6
2
6
1
AP
AP
has
m
has
m
m
p
p
cjs
peak
peak
E
E
ult
E
ult
=
=
=
=
=
=
=
=
=
=
=
=
height:
H = 1 m
width:
L
= 1 m
thickness:
E = 1 m
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
3/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
1.3
Initial conditions, boundary conditions, and loading
Phase 1:
One brings the sample in a homogeneous state:
xx
yy
zz
0
0
0
=
=
, by imposing the pressure of
containment corresponding on the front, side straight line and higher faces. Displacements are
locked on the faces postpones (
U
X
= 0
), side left (
U
y
= 0
) and lower (
U
Z
= 0
).
Phase 2:
One maintains displacements locked on the faces postpones (
U
X
= 0
), side left (
U
y
= 0
) and
lower (
U
Z
= 0
), as well as the confining pressure on the front faces and side straight line. One
apply a displacement imposed to the higher face:
()
U T
Z
, in order to obtain a deformation
%
20
-
=
zz
(counted starting from the beginning of phase 2).


2
Reference solution
2.1
Results of reference
Stresses
xx
,
yy
and
zz
at point D.
Displacements
xx
,
yy
at point D.

background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
4/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
References provided by the software FLAC-2D:
Q-eps1 curves
0,00
5,00
10,00
15,00
20,00
25,00
0,00
2,00
4,00
6,00
8,00
10,00
12,00
14,00
16,00
18,00
20,00
eps1
dévi
ator (MPa)
FLAC 1 MPa
FLAC 2 MPa
FLAC 4 MPa
FLAC 8 MPa
HB-CJS

eps1-epsv
- 1,00
- 0,50
0,00
0,50
1,00
1,50
2,00
0,00
5,00
10,00
15,00
20,00
25,00
eps1
epsv
1Mpa
2Mpa
4Mpa
8Mpa
HB-CJS
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
5/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
3 Modeling
With
3.1
Characteristic of modeling
2D:
y
Z
X
Cutting: 1 in height, 1 in width.
Loading of phase 1:
Confining pressure:
0
0
zz
xx
=
= ­ 8 MPa.

3.2
Characteristic of the mesh
A number of nodes: 4
A number of meshs and types: 1
QUAD4
and 4
SEG2

3.3 Functionalities
tested
Controls
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
6/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
4
Results of modeling A
4.1 Values
tested
For
0
0
zz
xx
=
= ­ 8 MPa
Localization
Sequence number
Stress (MPa)
Aster
Not D
5
xx
­ 8.000
49
xx
­ 8.000
5
zz
­ 8.000
49
zz
­ 8.000
5
yy
­ 31.5966
10
yy
­ 31.1055
16
yy
­ 29.9622
25
yy
­ 26.3670
30
yy
­ 24.3922
40
yy
­ 24.0000
49
yy
­ 24.0000

Localization Number
of command
Deformation
Aster
* E-02
Not D
1
xx
0.324
10
xx
0.692805
40
xx
7.140
1
yy
­ 1.200
5
yy
­ 1.580
10
yy
­ 2.053
25
yy
­ 8.000
48
yy
­ 19.04
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
7/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
5 Modeling
B
5.1
Characteristic of modeling
2D:
y
Z
X
Cutting: 1 in height, 1 in width.
Loading of phase 1:
Confining pressure:
0
0
zz
xx
=
= ­ 4 MPa.

5.2
Characteristic of the mesh
A number of nodes: 4
A number of meshs and types: 1
QUAD4
and 4
SEG2

5.3 Functionalities
tested
Controls
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
8/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
6
Results of modeling B
6.1 Values
tested
For
0
0
zz
xx
=
= ­ 4MPa
Localization
Sequence number
Stress (MPa)
Aster
Not D
5
xx
­ 4.000
49
xx
­ 4.000
5
zz
­ 4.000
49
zz
­ 4.000
5
yy
­ 19.6729
10
yy
­ 17.9207
16
yy
­ 16.9627
25
yy
­ 14.1850
30
yy
­ 12.4257
40
yy
­ 12.0000
49
yy
­ 12.0000

Localization Number
of command
Deformation
Aster
* E-02
Not D
1
xx
0.216
10
xx
0.757
40
xx
7.195
1
yy
­ 0.800
5
yy
­ 1.240
10
yy
­ 1.789
25
yy
­ 7.000
48
yy
­ 16.000
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
9/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
7 Modeling
C
7.1
Characteristic of modeling
2D:
y
Z
X
Cutting: 1 in height, 1 in width.
Loading of phase 1:
Confining pressure:
0
0
zz
xx
=
= ­ 2 MPa.

7.2
Characteristic of the mesh
A number of nodes: 4
A number of meshs and types: 1
QUAD4
and 4
SEG2

7.3 Functionalities
tested
Controls
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
10/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
8
Results of modeling C
8.1 Values
tested
For
0
0
zz
xx
=
= ­ 2 MPa
Localization
Sequence number
Stress (MPa)
Aster
Not D
5
xx
­ 2.000
5
zz
­ 2.000
5
yy
­ 10.7188
10
yy
­ 9.7927
16
yy
­ 9.1268
25
yy
­ 6.2033
30
yy
­ 6.0968
40
yy
­ 5.9965
49
yy
­ 5.9942

Localization Number
of command
Deformation
Aster
* E-02
Not D
1
xx
0.216
10
xx
1.151
40
xx
8.048
1
yy
­ 0.800
5
yy
­ 1.387
10
yy
­ 2.120
25
yy
­ 12.000
48
yy
­ 15.500
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
11/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
9 Modeling
D
9.1
Characteristic of modeling
2D:
y
Z
X
Cutting: 1 in height, 1 in width.
Loading of phase 1:
Confining pressure:
0
0
zz
xx
=
= ­ 1 MPa.

9.2
Characteristic of the mesh
A number of nodes: 4
A number of meshs and types: 1
QUAD4
and 4
SEG2

9.3 Functionalities
tested
Controls
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
background image
Code_Aster
®
Version
6.5
Titrate:
SSNV158 - Triaxial compression test drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES
Key
:
V6.04.158-A
Page:
12/12
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
10 Results of modeling D
10.1 Values
tested
For
0
0
zz
xx
=
= ­ 1MPa
Localization
Sequence number
Stress (MPa)
Aster
Not D
296
xx
­ 1.000
596
xx
­ 1.000
296
zz
­ 1.000
596
zz
­ 1.000
196
yy
­ 4.7247
296
yy
­ 4.1666
312
yy
­ 4.0928
496
yy
­ 3.4030
596
yy
­ 3.1056

Localization Number
of command
Deformation
Aster
* E-02
Not D
196
xx
2.4608
396
xx
4.7711
596
xx
6.8830
196
yy
­ 3.9200
296
yy
­ 5.9200
396
yy
­ 7.9200
496
yy
­ 9.9200
596
yy
­ 11.9200