Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
1/12
Organization (S): EDF-R & D/AMA
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.158
SSNV158 - Triaxial Essai 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.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
2/12
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 = 1500,00 103 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
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
3/12
1.3
Initial conditions, boundary conditions, and loading
Phase 1:
One brings the sample in a homogeneous state: 0 = 0 = 0
xx
yy
zz, by imposing the pressure of
containment corresponding on the front, side straight line and higher faces. Displacements are
blocked on the faces postpones (ux = 0), side left (uy = 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), 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
-
(counted starting from the beginning of phase 2).
zz
2
Reference solution
2.1
Results of reference
Constraints xx, yy and zz at point D.
Displacements, at point D.
xx
yy
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
4/12
References provided by the software FLAC-2D:
Q-eps1 curves
25,00
20,00
FLAC 1 MPa
15,00
FLAC 2 MPa
FLAC 4 MPa
ator (MPa)
FLAC 8 MPa
10,00
dévi
HB-CJS
5,00
0,00
0,00
2,00
4,00
6,00
8,00
10,00
12,00
14,00
16,00
18,00
20,00
eps1
eps1-epsv
2,00
1,50
1,00
1Mpa
2Mpa
0,50
4Mpa
epsv
8Mpa
HB-CJS
0,00
0,00
5,00
10,00
15,00
20,00
25,00
- 0,50
- 1,00
eps1
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
5/12
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
= = 8 MPa.
xx
zz
3.2
Characteristic of the grid
A number of nodes: 4
A number of meshs and types: 1 QUAD4 and 4 SEG2
3.3 Functionalities
tested
Commands
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
6/12
4
Results of modeling A
4.1 Values
tested
For 0
0
= = 8 MPa
xx
zz
Localization
Sequence number
Constraint (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
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
7/12
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
= = 4 MPa.
xx
zz
5.2
Characteristic of the grid
A number of nodes: 4
A number of meshs and types: 1 QUAD4 and 4 SEG2
5.3 Functionalities
tested
Commands
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
8/12
6
Results of modeling B
6.1 Values
tested
For 0
0
= = 4MPa
xx
zz
Localization
Sequence number
Constraint (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
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
9/12
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
= = 2 MPa.
xx
zz
7.2
Characteristic of the grid
A number of nodes: 4
A number of meshs and types: 1 QUAD4 and 4 SEG2
7.3 Functionalities
tested
Commands
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
10/12
8
Results of modeling C
8.1 Values
tested
For 0
0
= = 2 MPa
xx
zz
Localization
Sequence number
Constraint (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
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
11/12
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
= = 1 MPa.
xx
zz
9.2
Characteristic of the grid
A number of nodes: 4
A number of meshs and types: 1 QUAD4 and 4 SEG2
9.3 Functionalities
tested
Commands
DEFI_MATERIAU LAIGLE
STAT_NON_LINE COMP_INCR
RELATION
“LAIGLE”
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Code_Aster ®
Version
6.5
Titrate:
SSNV158 - Triaxial Essai drained with the model of Laigle
Date:
05/10/04
Author (S):
C. CHAVANT, R. FERNANDES Key
:
V6.04.158-A Page:
12/12
10 Results of modeling D
10.1 Values
tested
For 0
0
= = 1MPa
xx
zz
Localization
Sequence number
Constraint (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
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/04/005/A
Outline document