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Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
1/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
Organization (S):
EDF-R & D/AMA















Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.157


SSNV157 - Test of the method of delocalization by
regularization of the deformation on a bar of
variable section in traction




Summary:

One presents several tests of uniaxial traction on a variable bar of section for 3 laws of
behaviors (ENDO_FRAGILE, ENDO_ISOT_BETON and MAZARS), in the case of the nonlocal model by
regularization of the deformation.
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Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
2/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
1
Problem of reference
1.1
Geometry and boundary conditions
One considers a bar with variable section length 100m, thickness 1m, greater section
10m and of smaller section 1m.
Appear 1.1-a: Geometry and boundary conditions of the uniaxial tests

1.2
Properties of materials
Elastic behavior:
1
.
0
;
100000
=
=
MPa
E
Length characteristic of the delocalization: 3m
0
.
3
LONG_CARA
:
NON_LOCAL
=


2
Reference solution
This test is a test of nonregression.
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Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
3/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
3 Modeling
With
3.1
Parameters of the model/Characteristic of material
ECRO_LINE: SY=3.0
D_SIGM_EPSI=-2000

3.2
Characteristics of modeling
Modeling 3d_GRAD_EPSI
Element MGCA_TETRA10

3.3
Characteristics of the mesh
A number of nodes:
507
A number of meshs and types: 54 TRIA6
174 TETRA10

3.4
Functionalities tested
The law of behavior ENDO_FRAGILE
Type of piloting: PRED_ELAS


4
Results of modeling A
4.1
Values tested
Moment
Name of the field
Component
Place
Aster
24
DEPL
DX N2
6.66251E03
24
VARI_ELGA
V1
M169, point 2
9.89289E01
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Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
4/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
5 Modeling
B
5.1
Parameters of the model/Characteristic of material
ECRO_LINE: SY=3.0
D_SIGM_EPSI=-2000

5.2
Characteristics of modeling
Modeling C_PLAN_GRAD_EPSI
Element MGCA_TRIA6

5.3
Characteristics of the mesh
A number of nodes:
153
A number of meshs and types: 27 SEG3
50 TRIA6

5.4
Functionalities tested
The law of behavior ENDO_FRAGILE
Type of piloting: PRED_ELAS


6
Results of modeling B
6.1
Values tested
Moment
Name of the field
Component
Place
Aster
31
DEPL
DX N2
9.22566E03
31
VARI_ELGA
V1
M31, point 2
9.97526E01
background image
Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
5/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
7 Modeling
C
7.1
Parameters of the model/Characteristic of material
ECRO_LINE: SY=3.0
D_SIGM_EPSI=-2000

7.2
Characteristics of modeling
Modeling D_PLAN_GRAD_EPSI
Element MGCA_TRIA6

7.3
Characteristics of the mesh
A number of nodes:
153
A number of meshs and types: 27 SEG3
50 TRIA6

7.4
Functionalities tested
The law of behavior ENDO_FRAGILE
Type of piloting: PRED_ELAS


8
Results of modeling C
8.1
Values tested
Moment
Name of the field
Component
Place
Aster
31
DEPL
DX N2
9.18672E03
31
VARI_ELGA
V1
M31, point 2
9.97544E01
background image
Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
6/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
9 Modeling
D
9.1
Parameters of the model/Characteristic of material
ECRO_LINE: SY=3.0
D_SIGM_EPSI=-2000

9.2
Characteristics of modeling
Modeling 3d_GRAD_EPSI
Element MGCA_TETRA10

9.3
Characteristics of the mesh
A number of nodes:
507
A number of meshs and types: 54 TRIA6
174 TETRA10

9.4
Functionalities tested
The law of behavior ENDO_ISOT_BETON
Type of piloting: PRED_ELAS


10 Results of modeling D
10.1 Values tested
Moment
Name of the field
Component
Place
Aster
37
DEPL
DX N2
6.56702E03
37
VARI_ELGA
V1
M169, point 2
9.40876E01
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Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
7/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
11 Modeling
E
11.1 Parameters of the model/Characteristic of material
MAZARS: BETA = 1.0
EPSD0
=
9.375E-05
AC
=
1.15
AT
=
0.8
BC
=
1391.3
BT
=
10000.

11.2 Characteristics of modeling
Modeling 3d_GRAD_EPSI
Element MGCA_TETRA10

11.3 Characteristics of the mesh
A number of nodes:
507
A number of meshs and types: 54 TRIA6
174 TETRA10

11.4 Functionalities tested
The law of behavior MAZARS
Type of piloting: DEFORMATION


12 Results of modeling E
12.1 Values tested
Moment
Name of the field
Component
Place
Aster
17
DEPL
DX N2
3.13925E03
17
VARI_ELGA
V1
M169, point 2
4.29571E01
background image
Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
8/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
13 Modeling
F
13.1 Parameters of the model/Characteristic of material
MAZARS: BETA = 1.0
EPSD0
=
9.375E-05
AC
=
1.15
AT
=
0.8
BC
=
1391.3
BT
=
10000.

13.2 Characteristics of modeling
Modeling C_PLAN_GRAD_EPSI
Element MGCA_TRIA6

13.3 Characteristics of the mesh
A number of nodes:
153
A number of meshs and types: 27 SEG3
50 TRIA6

13.4 Functionalities tested
The law of behavior MAZARS
Type of piloting: DEFORMATION


14 Results of modeling F
14.1 Values tested
Moment
Name of the field
Component
Place
Aster
51
DEPL
DX N2
2.67284E03
51
VARI_ELGA
V1
M31, point 2
9.34245E01
background image
Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
9/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A
15 Modeling
G
15.1 Parameters of the model/Characteristic of material
MAZARS: BETA = 1.0
EPSD0
=
9.375E-05
AC
=
1.15
AT
=
0.8
BC
=
1391.3
BT
=
10000.

15.2 Characteristics of modeling
Modeling D_PLAN_GRAD_EPSI
Element MGCA_TRIA6

15.3 Characteristics of the mesh
A number of nodes:
153
A number of meshs and types: 27 SEG3
50 TRIA6

15.4 Functionalities
tested
The law of behavior MAZARS
Type of piloting: DEFORMATION


16 Results of modeling G
16.1 Values tested
Moment
Name of the field
Component
Place
Aster
51
DEPL
DX N2
2.71156E03
51
VARI_ELGA
V1
M31, point 2
9.10946E01
background image
Code_Aster
®
Version
6.4
Titrate:
SSNV157 - Test of the method of delocalization
Date
:
23/09/03
Author (S):
V. GODARD
Key
:
V6.04.157-A
Page:
10/10
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A



























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