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

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