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Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
1/10
Organization (S): EDF-R & D/MMC, AMA, NECS
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document: V6.02.127
SSNL127 - Essai of tensile with the model
CORR_ACIER
Summary:
This test of nonlinear quasi-static mechanics makes it possible to validate the elastoplastic model
endommageable CORR_ACIER.
5 modelings make it possible to validate the behavior:
· modelings A, B, C in 1D for elements BARRE, POU_D_EM, POU_D_TGM;
· modeling D in 3D in the case of an axisymmetric test-tube (state of stresses and of
homogeneous deformation) subjected to a simple tensile test; modeling 3D of the test-tube is
realized with elements CU20;
· modeling E in COQUE_3D in the case of a plate subjected to a simple traction, with one
net QUAD9.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
2/10
1
Problem of reference
1.1 Geometry
The geometry is selected voluntarily simple, to translate a state of stresses and of
deformations homogeneous, as it is the case in uniaxial traction. In the case 1D and 3D, it acts here
of a bar of diameter = 6 mm and length 100mm. In 3D, one net only one quarter of
bar. Traction is done with displacement imposed in 1D and 3D with the length of the test-tube. In
2
case COQUE_3D, the plate is square on side 100mm, and thickness
(so that the efforts are
4
identical to the case 1D).
y
Z
Li3
1D
Surf_int
3D
Y
Y
Li2
Surf_2
With
B
X
X
Surf_1
Surf_ext
Li1
COQUE_3D
X
1.2
Properties of material
YOUNG modulus = 2.E11 Pa
Poisson's ratio = 0.33
Key word CORR_ACIER:
Coefficient of damage D_CORR = 0.2
Parameters of work hardening ECRO_K = 500 MPa
Elastic limit
ECRO_M = 2.781
SY = 500. MPa
The degree of corrosion is given using command CREA_CHAM:
NOM_CMP = “CORR” VALE = 0.0, 2.5, 13 (in percent)
1.3
Boundary conditions and loadings
Modeling 1D
Displacements DX DZ and DY blocked at point A
Displacement DX and DZ imposed on the point B
Modeling 3D
Displacement DX prevented on Surf_int
Displacement DY prevented on Surf_1
Displacement DZ prevented on Surf_2
Displacement DX imposed on Surf_ext
Modeling COQUE_3D:
Displacement DX prevented on Li4
Displacement DY prevented on Li1
Displacement DX imposed on Li3
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
3/10
1.4 Conditions
initial
Null constraints and deformations.
2
Reference solution
2.1
Method of calculation
The reference solution is consisted the results of the tensile tests carried out on bars
corroded (the initial diameter is 6 mm). Following these tests, one notes the reduction in
plastic deformation with rupture with increase in the degree of corrosion.
2.2
Results of reference
Evolution of the plastic deformation with rupture of the bars corroded according to the degree of
corrosion (the reduction of the diameter of bars or thickness of flat reinforcement compared to
those not corroded) is presented on [Figure 2.2-a] and it [Figure 2.2-b].
0.24
2%
2.5%
0%
with
R
upture
13%
0.16
17.5%
22.4%
S
T
ic
35%
0.08
has
T
ion pla
m
50%
E
for
D
0
0
10
20
30
40
50
Rate of corrosion, %
Be reproduced 2.2-a: Influence of corrosion on
Appear 2.2-b: the evolution of the deformation
behavior of steel according to the rate
plastic with rupture according to the rate of
of corrosion
corrosion
2.3
Uncertainties on the solution
Precision of the codes.
2.4 References
bibliographical
[1]
A.A. ALMUSALLAM: “Effect off off dismantles corrosion one the properties off reinforcing steel
bars ", Construction and Building Materials 15, 2001.
[2]
A. OUGLOVA, Y. BERTHAUD, I. PETRE-LAZAR: “Experimental Characterization of
corrosion of steels in the concrete on old analogues. First approach of
modeling ", HT-25/02/030/A, EDF, 2002.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
4/10
3 Modeling
With
3.1
Characteristics of modeling
It is about an element BARRE. Maximum displacement at the point B is of 0.021m, it is reached into 50
increments.
3.2
Characteristics of the grid
A number of nodes: 10
A number of meshs and type: 10 (SEG2)
3.3 Functionalities
tested
Commands
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
4
Results of modeling A
The efforts maximum (in NR) are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.019
21857.1
21857.1
0
2.5% of corrosion
0.0164
21451.6
21451.6
0
13% of corrosion
0.0075
19610.1
19610.1
0
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
21193.7
21193.7
0
2.5% of corrosion
0.018
20557.6
20557.6
0
13% of corrosion
0.008
18758.6
18758.6
0
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07668
0
The damage is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.0192
0.00229
0.00229
0
2.5% of corrosion
0.0164
0.01371
0.01371
0
13% of corrosion
0.0075
0.01188
0.01188
0
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
5/10
5 Modeling
B
5.1
Characteristics of modeling
It is about an element POU_D_EM (beam multifibre). Maximum displacement at the point B is of
0.021m, it is reached in 50 increments.
5.2
Characteristics of the grid
A number of nodes: 10
A number of meshs and type: 10 (SEG2)
5.3 Functionalities
tested
Commands
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
6
Results of modeling B
The efforts maximum (in NR) are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.019
21857.1
21860
0.02
2.5% of corrosion
0.0164
21451.6
21455
0.02
13% of corrosion
0.0075
19610.1
19613
0.02
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
21193.7
21197
0.02
2.5% of corrosion
0.018
20557.6
20560
0.02
13% of corrosion
0.008
18758.6
18761
0.02
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07668
0
The damage is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.0192
0.00229
0.00229
0
2.5% of corrosion
0.0164
0.01371
0.01371
0
13% of corrosion
0.0075
0.01188
0.01188
0
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
6/10
7 Modeling
C
7.1
Characteristics of modeling
It is about an element POU_D_TGM (beam multifibre). Maximum displacement at the point B is of
0.021m, it is reached in 50 increments.
7.2
Characteristics of the grid
A number of nodes: 10
A number of meshs and type: 10 (SEG2)
7.3 Functionalities
tested
Commands
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
8
Results of modeling C
The efforts maximum (in NR) are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.019
21857.1
21860
0.02
2.5% of corrosion
0.0164
21451.6
21455
0.02
13% of corrosion
0.0075
19610.1
19613
0.02
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
21193.7
21197
0.02
2.5% of corrosion
0.018
20557.6
20560
0.02
13% of corrosion
0.008
18758.6
18761
0.02
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07668
0
The damage is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.0192
0.00229
0.00229
0
2.5% of corrosion
0.0164
0.01371
0.01371
0
13% of corrosion
0.0075
0.01188
0.01188
0
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
8.1
Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
7/10
9 Modeling
D
9.1
Characteristics of modeling
It is about a modeling 3D.
Z
Surf_int
Y
P1
9.2
Characteristics of the grid
Surf_2
A number of nodes: 39
A number of meshs and type: 3 (HEXA20)
Surf_1
Surf_ext
9.3 Functionalities
tested
X
Commands
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
10 Results of modeling D
The efforts maximum (in NR) are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.019
7.730 108 7.730
108 0
2.5% of corrosion
0.0164
7.588 108 7.588
108 0
13% of corrosion
0.0075
6.936 108 6.936
108 0
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
7.487 108 7.487
108 0
2.5% of corrosion
0.018
7.261 108 7.261
108 0
13% of corrosion
0.008
6.612 108 6.612
108 0
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07669
0.02
The damage is worth:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.0192
0.00345
0.00345
0
2.5% of corrosion
0.0164
0.01505
0.01505
0
13% of corrosion
0.0075
0.015
0.015
0
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
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Code_Aster ®
Version
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Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
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11 Modeling
E
11.1 Characteristics of modeling
y
It is about a modeling
Li3
COQUE_3D.
Li2
11.2 Characteristics of the grid
X
A number of nodes: 9
Li1
A number of meshs and type: 1 (QUAD9)
COQUE_3D
11.3 Functionalities
tested
Commands
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
12 Results of modeling E
The efforts maximum (in NR) are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.019
21857.1
22676
3.7
2.5% of corrosion
0.0164
21451.6
22798
6
13% of corrosion
0.0075
19610.1
20221
3
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
Reference
Aster %
difference
imposed (m)
0% of corrosion
0.02
21193.7
21534
2
2.5% of corrosion
0.018
20557.6
20749
1
13% of corrosion
0.008
18758.6
18813
0.3
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Code_Aster ®
Version
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Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE Key
:
V6.02.127-B Page:
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13 Summary of the results
For modelings A, B, C, D, E the results correspond well to those obtained
in experiments.
The curves effort-displacement obtained for the 3 rates of corrosion tested are as follows:
Handbook of Validation
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Code_Aster ®
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Titrate:
SSNL127 - Essai of tensile with model CORR_ACIER
Date:
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Author (S):
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:
V6.02.127-B Page:
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