Code_Aster
®
Version
8.1
Titrate:
SSNP126 - Test Validation of the law of behavior JOINT_BA
Date:
29/06/05
Author (S):
S. MICHEL-PONNELLE, NR. DOMINGUEZ
Key
:
V6.03.126-B
Page:
1/6
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
HT-66/05/005/A
Organization (S):
EDF-R & D/AMA
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
Document: V6.03.126
SSNP126 - Validation of the law of behavior
JOINT_BA (steel-concrete connection) in plane 2D
Summary:
Validation of the law of behavior JOINT_BA of the connection steel concrete by using the element of gasket 2D
plan. This joined element is embedded in two nodes and bound to an element cubes with the characteristics of one
unspecified elastic material. By applying a monotonous loading in slip to the cubic element, one
check the degradation of the interface, as well as the passage of the small deformations at the beginning of the experiment,
with the great observable slips starting from the peak of the resistance of the connection. In this case test, them
parameters used do not correspond to the data of a particular experimental case. However,
validation is carried out by comparison with results obtained with code FEAP of Professor Taylor,
from Berkeley, software in which this formulation was established.
Code_Aster
®
Version
8.1
Titrate:
SSNP126 - Test Validation of the law of behavior JOINT_BA
Date:
29/06/05
Author (S):
S. MICHEL-PONNELLE, NR. DOMINGUEZ
Key
:
V6.03.126-B
Page:
2/6
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
HT-66/05/005/A
1
Problem of reference
1.1 Geometry
Appear 1.1-a: Geometry and boundary conditions
1.2
Properties of material
Cubic: rubber band
E = 2.1x10
+6
MPa,
= 0
Element of gasket:
·
law of behavior ELAS with the following parameters:
E = 2.1x10
+6
MPa,
= 0
·
law of behavior JOINT_BA with the following parameters:
- Initial Parameters:
coefficient of penetration:
Hpen
= 0.64 mm
(key word: HPEN)
modulate rigidity:
bound
G
= 6.65x10
+3
MPa
(key word: GTT)
- Parameters of tangential damage:
threshold of elastic strain:
0
= 5x10
- 4
(key word: GAMD0)
coefficient of damage area 1:
1
AD
= 1.0
(key word: AD1)
coefficient of damage area 1:
1
Data base
= 0.5
(key word: BD1)
threshold of the great slips:
2
= 9.6x10
- 1
(key word: GAMD2)
coefficient of damage area 2:
2
AD
= 6x10
- 5
MPa
- 1
(key word: AD2)
coefficient of damage area 2:
2
Data base
= 1.0
(key word: BD2)
= 30°
T
N
U
= (x=1.5, y=2.598076)
y
X
cubic on L=1mm side
element of gasket
Code_Aster
®
Version
8.1
Titrate:
SSNP126 - Test Validation of the law of behavior JOINT_BA
Date:
29/06/05
Author (S):
S. MICHEL-PONNELLE, NR. DOMINGUEZ
Key
:
V6.03.126-B
Page:
3/6
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
HT-66/05/005/A
- Parameters for the friction of the fissures and containment:
friction:
= 10.0 MPa
(key word: VIFROT)
kinematic work hardening:
= 4x10
- 1
MPa
- 1
(key word: F)
containment:
C
= 1.0
(key word: FC)
- Parameters of normal damage:
normal deformation criticizes (opening):
0
NR
= 9x10
- 1
(key word: EPSTR0)
coefficient of normal damage:
NR
AD
= 1x10
- 9
MPa
- 1
(key word: ADN)
coefficient of normal damage:
NR
Data base
= 1.5
(key word: BDN)
1.3
Boundary conditions and loadings
Null displacements imposed on the left face of the element of gasket.
The mechanical loading is imposed in the form of displacements imposed on the right face of
cubic in increments of 0.01 *
U
with each pitch of time, 0 to 300.
1.4 Notice
·
The law of behavior of the element of gasket is given locally (reference mark (N, T)), calculations
system are carried out in the total reference mark (X, y). The basic change was taken in
count in calculations. The case test was developed with a rotation of 30° with an aim of
to validate this basic change.
2
Reference solution
It is about a comparison code-code. The reference used is code FEAP version 7.4 of
Professor R.L. Taylor, of the University of California, Berkeley. The results were obtained with
same geometrical and material parameters, as well as the same discretization in time.
3 Bibliography
[1]
TAYLOR R.L. FEAP: In Finite Element Analysis Program
version 7.4. To use, Theory,
To program & Example Manuals - University Off California At Berkeley, the USA, December
2000.
Code_Aster
®
Version
8.1
Titrate:
SSNP126 - Test Validation of the law of behavior JOINT_BA
Date:
29/06/05
Author (S):
S. MICHEL-PONNELLE, NR. DOMINGUEZ
Key
:
V6.03.126-B
Page:
4/6
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
HT-66/05/005/A
4 Modeling
With
4.1
Characteristics of modeling
Modeling in plane deformations (key word
D_
PLAN) for the cube on side 1.
Modeling fissures planes (key word PLAN_JOINT) for the element of gasket.
The cube is a QUAD4.
The element of gasket is a degenerated QUAD4 (confused nodes).
4.2
Characteristics of the mesh
A number of nodes: 6
Numbers and type of meshs: 2 QUAD4.
4.3 Functionalities
tested
The law of behavior JOINT_BA local version in 2D.
Controls
Options
DEFI_MATERIAU JOINT_BA
HPEN
GTT
GAMD0
AD1
BD1
GAMD2
AD2
BD2
VIFROT
F
FC
EPSTR0
ADN
BDN
STAT_NON_LINE COMP_INCR
RELATION
JOINT_BA
Code_Aster
®
Version
8.1
Titrate:
SSNP126 - Test Validation of the law of behavior JOINT_BA
Date:
29/06/05
Author (S):
S. MICHEL-PONNELLE, NR. DOMINGUEZ
Key
:
V6.03.126-B
Page:
5/6
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
HT-66/05/005/A
5
Results of modeling A
5.1
Sizes tested and results
One tests the components yy and xy of the element which correspond to the components normal and
tangential of the local law of behavior in the interface, starting from the stress field
SIEF_ELGA as well as the value of the damage
T
D
(which corresponds to the second variable of
field VARI_ELGA). The values are tested at the point of Gauss 1 of the element gasket, with 4 pitches of
different times: at the beginning of loading, during the phase of growth of the damage,
after the peak of the maximum strength of the connection and to the end of the loading.
Component field SIEF_ELGA SIGN
Identification Reference
Code_Aster %
difference
For an imposed displacement
TT
U
= 0.2 mm
- 9.94080 E-02
- 1.00976 E-01
1.577
For an imposed displacement
TT
U
= 0.8 mm
- 1.54560 E-01
- 1.52328 E-01
- 1.444
For an imposed displacement
TT
U
= 1.2 mm
- 1.44060 E-01
- 1.47200 E-01
2.180
For an imposed displacement
TT
U
= 3.0 mm
- 1.06920 E-01
- 1.06914 E-01
- 0.006
Component field SIEF_ELGA SITX
Identification Reference
Code_Aster %
difference
For an imposed displacement
TT
U
= 0.2 mm
- 7.58900 E+00
- 7.65768 E+00
0.905
For an imposed displacement
TT
U
= 0.8 mm
- 1.17960 E+01
- 1.15521 E+01
- 2.068
For an imposed displacement
TT
U
= 1.2 mm
- 1.09950 E+01
- 1.11632 E+01
1.530
For an imposed displacement
TT
U
= 3.0 mm
- 8.15940 E+00
- 8.10802 E+00
- 0.630
Component field VARI_ELGA V2 (variable of tangential damage)
Identification Reference
Code_Aster %
difference
For an imposed displacement
TT
U
= 0.2 mm
9.97203 E-01
9.97203 E-01
- 2.19 E-05
For an imposed displacement
TT
U
= 0.8 mm
9.98948 E-01
9.98915 E-01
- 0.003
For an imposed displacement
TT
U
= 1.2 mm
9.99369 E-01
9.99309 E-01
- 0.006
For an imposed displacement
TT
U
= 3.0 mm
9.99854 E-01
9.99821 E-01
- 0.003
Code_Aster
®
Version
8.1
Titrate:
SSNP126 - Test Validation of the law of behavior JOINT_BA
Date:
29/06/05
Author (S):
S. MICHEL-PONNELLE, NR. DOMINGUEZ
Key
:
V6.03.126-B
Page:
6/6
Manual of Validation
V6.03 booklet: Nonlinear statics of the plane systems
HT-66/05/005/A
6
Summary of the results
The comparison of the results resulting from Code_Aster and those obtained numerically by code FEAP
of Professor Taylor of Berkeley are satisfactory (the maximum change is 2.18% on
stresses).
The objective of modeling is to test the stability of the law of behavior by using them
already existing elements joined in Code_Aster: one can consider that the establishment of the law is
correct. However, since the maximum resistance of the connection between the steel reinforcements
and the concrete is reached beyond the framework of the small deformations, it is necessary to pay attention to the choice of
increments of time in particular when JOINT_BA is used in combination with other laws of
behavior nonlinear (law MAZARS, for example).