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

Organization (S): EDF-R & D/AMA
Handbook 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.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

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: Géométrie and boundary conditions of the uniaxial tests

1.2
Properties of materials

Elastic behavior:

E = 100000 MPa; = 1
.
0

Length characteristic of the delocalization: 3m

NON_LOCAL: LONG_CARA = 0
.
3

2
Reference solution

This test is a test of nonregression.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

3 Modeling
With

3.1
Parameters of the model/Caractéristiques 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 grid

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 control: 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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

5 Modeling
B

5.1
Parameters of the model/Caractéristiques 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 grid

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 control: 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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

7 Modeling
C

7.1
Parameters of the model/Caractéristiques 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 grid

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 control: 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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

9 Modeling
D

9.1
Parameters of the model/Caractéristiques 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 grid

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 control: 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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

11 Modeling
E

11.1 Parameters of the model/Caractéristiques 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 grid

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 control: 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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

13 Modeling
F

13.1 Parameters of the model/Caractéristiques 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 grid

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 control: 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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

15 Modeling
G

15.1 Parameters of the model/Caractéristiques 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 grid

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 control: 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
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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

Intentionally white left page.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/03/008/A

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