Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
1/8

Organization (S): EDF/IMA/MN

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
V6.04.125 document

SSNV125 - Essai of tensile shearing
with polycrystalline model CFC

Summary:

Analyze response of an element of volume to a loading of traction-shearing which imposes a state of
uniform stress-strain.

One carries out two modelings to test the taking into account of the parameters constant or dependant on
temperature and integration with the elastic matrix (only available for explicit integration used).

This test validates the numerical integration of the model of polycrystalline behavior elastoviscoplastic for
cubic structural materials to centered faces.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
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1
Problem of reference

1.1 Geometry

Z, dz
D
6
7
D
8
5
Face YZ: (3, 1, 7, 6)
Face XY: (4, 2, 1, 3)
Face 1YZ: (4, 2, 5, 8)
D
Face 1XY: (8, 5, 7, 6)
D

3
1

y, Dy
D: imposed pressure
D: imposed shearing
D
4
2
X, dx


1.2
Material properties

Isotropic elasticity E = 192.500 MPa = 0.3
Model viscoplasticity POLY_CFC (units: MPa, S)

DLL
149.67
DA
0.0268
NR
7.77
K
13.31 MPa.s1/NR
TAU_0
86.5 MPa
Q1
7.29 MPa
B1
5.67
HL
2.43
Q2
­ 16.25 MPa B2
20.04
C1
4000 MPa
D1
42.69
C2
73.26







1.3
Boundary conditions and loadings

N3
dx = Dy = dz = 0
Face YZ: FZ = ­ D/4
N4
Dy = dz = 0
Face XY: FY = ­ D/4
N1, N2
dz = 0
Face 1YZ: FZ = D/4


Face 1XY: FY = D/4, FZ = D

1.4 Conditions
initial

Null constraints and deformations with T = 0.

D
P
0
D

Linear way of loading: D (T) and D (T), the point P being reached in 10 seconds with D (10) =
200 MPa and D (10) = 100 MPa
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
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2
Reference solution

2.1
Method of calculation used for the reference solution

One uses to establish the reference solution the software SiDoLo [1] which allows simulation and
identification of relations of behavior.

The equations of the model are written by the user in FORTRAN in the form of a system of equations
first order differentials, solved by a method of Runge Kutta of command 2 with adaptive step.

2.2
Results of reference

zz, yz, zz, yz at the moments (T = 10 S); yz and zz at the moments (T = 6 S, 8 S and 9,2 S).

2.3
Uncertainty on the solution

Uncertainty of SiDoLo [bib1].

2.4 References
bibliographical

[1]
SiDoLo, version 2.3, Notice of use, École nationale supérieure of Mines of Paris,
Center of Matériaux, September 1995.

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
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3 Modeling
With

3.1
Characteristics of modeling

Modeling 3D

Z
7
5
8
6
3
1
y
4
2
X


3.2
Characteristics of the grid

1 HEXA8 (8 points of Gauss)

3.3 Functionalities
tested

Order Mot-clé
factor
Key word Key Argument
simple
DEFI_MATERIAU POLY_CFC


[U4.23.01]
STAT_NON_LINE COMP_INCR RELATION
“POLY_CFC”
[U4.32.01]
NEWTON
MATRICE
“ELASTIQUE”
CONVERGENCE
RESO_INTE
“RUNGE_KUTTA_2”
CONVERGENCE
RESI_GLOB_RELA
10-4
CONVERGENCE
RESI_INTE_RELA
10-3

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
5/8

4
Results of modeling A

4.1 Values
tested

Identification Reference Aster %
difference
zz (10s)
200 199,986
- 0,007%
yz (10s)
100 99,988
- 0,012%
zz (6s)


6.233769 E4
6,233769 E4
- 0,000%
yz (6s)
4,051949 E4
4,051951 E4
- 0,000%
zz (8s)


9,222209 E4
9,205512 E4
- 0,191%
yz (8s)


6,224790 E4
6,186647 E4
- 0,613%
zz (9,2s)


1,402150 E3
1,387270 E3
- 1,061%
yz (9,2s)


1,000010 E3
9,695271 E4
- 3,048%
zz (10s)


1,841500 E3
1,845873 E3
0,238%
yz (10s)
1,347820 E3
1,326605 E3
- 1,574%

4.2 Remarks

The moment 6s corresponds to a loading where there was not plasticization yet.

One uses 11 increments of time in Aster, and the step of time is redécoupé in manner
adaptive on the level of the local integration of the equations of the model (explicit cf Intégration
[R5.03.14]).

SiDoLo uses several hundreds of step of times, calculated automatically.

4.3 Parameters
of execution

Version: 4.00.09



Machine: CRAY C90

System:
UNICOS 8.0
Obstruction memory:
8 MW
Time CPU To use:
179 seconds

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
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5 Modeling
B

5.1
Characteristics of modeling

Modeling 3D

Z
5
8
7
6
1
4
y
2
3
X


5.2
Characteristics of the grid

1 HEXA8 (8 points of Gauss)

5.3 Functionalities
tested

Order Mot-clé
factor
Key word
Key argument
simple
DEFI_MATERIAU POLY_CFC_FO

[U4.23.01]
STAT_NON_LINE COMP_INCR
RELATION
“POLY_CFC_FO”
[U4.32.01]
NEWTON
MATRICE
“ELASTIQUE”
CONVERGENCE
RESO_INTE
“RUNGE_KUTTA_2”
CONVERGENCE
RESI_GLOB_RELA
10-3
CONVERGENCE
RESI_INTE_RELA
10-3
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
7/8

6
Results of modeling B

6.1 Values
tested

Identification Reference Aster %
difference
zz (10s)
200 199,850
- 0,075%
yz (10s)
100 99,872
- 0,127%
zz (6s)


6.233769 E4
6,233769 E4
- 0,000%
yz (6s)
4,051949 E4
4,051951 E4
- 0,000%
zz (8s)


9,222209 E4
9,197502 E4
- 0,278%
yz (8s)


6,224790 E4
6,179939 E4
- 0,721%
zz (9,2s)


1,402150 E3
1,384319 E3
- 1,272%
yz (9,2s)


1,000010 E3
9,671650 E4
- 3,284%
zz (10s)


1,841500 E3
1,840552 E3
- 0,051%
yz (10s)
1,347820 E3
1,322064 E3
- 1,911%

6.2 Remarks

Modeling B uses the key word factor POLY_CFC_FO with a constant evolution of
parameters.

The criterion of total convergence (RESI_GLOB_RELA) is higher of a factor 10 compared to
modeling A (saving of time of calculation but loss of a factor approximately 10 on the results of
constraint); it is noted that the answers in deformation remain of an order of magnitude close to those
modeling A. Moreover, with a precision of 10­2 on balance one has an error of 6% on
deformation yz.

6.3 Parameters
of execution

Version: 4.00.09



Machine: CRAY C90

System:
UNICOS 8.0
Obstruction memory:
8 MW
Time CPU To use:
105 seconds

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV125 Essai of tensile shearing - polycrystalline Modèle
Date:
24/03/98
Author (S):
S. TAHERI, C. VOGEL Key
:
V6.04.125-A Page:
8/8

7
Summary of the results

The matrix of tangent behavior is the elastic matrix for the explicit resolution used, it is
necessary to consider increments of small times to have convergence, even if
method of integration comprises an adaptive step division of local time.

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

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