Code_Aster
®
Version
7.4
Titrate:
SSNV144 Coude in bending in great displacements
Date
:
07/11/05
Author (S):
J.M. PROIX, P. MASSIN
Key
:
V6.04.144-A
Page:
1/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/05/005/A
Organization (S):
EDF-R & D/AMA
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
V6.04.144 document
SSNV144 - Bend in bending into large
displacements
Summary:
This test validates the modeling of the phenomena of bending of hull in great displacements in the field
rubber band or elastoplastic: an elbow of piping, prolonged by right pipes is subjected to a bending
in its plan. Piping is thick (of size similar to the elbows of the primary education circuits).
reference solution is numerical: it is obtained with Code_Aster using a mesh 3D of the elbow.
Modeling is carried out with elements COQUE_3D in great displacements or elastoplasticity.
Code_Aster
®
Version
7.4
Titrate:
SSNV144 Coude in bending in great displacements
Date
:
07/11/05
Author (S):
J.M. PROIX, P. MASSIN
Key
:
V6.04.144-A
Page:
2/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/05/005/A
1
Problem of reference
The elbow has as a radius of curvature: Rc = 1.25m
L
With
B
Mz
C
D
Rc
L
X
Y
The tubular section has for average radius R = 395.5mm and a thickness E = 77mm.
1.1
Properties of materials
The material is elastoplastic with isotropic linear work hardening.
E = 2.E11 AP
= 0.3
Elastic limit SIGY = 200.10
6
AP
Modulate work hardening D_SIGM_EPSI = 2.10
10
AP
1.2
Boundary conditions and loadings
Embedding of A (corresponding to the section of named piping CERCLE1).
Moment MZ imposed in D (agent with CERLCE2) growing until:
Increment 1
Mz = 308670215.2 Nm
In the case of calculation into large displacement, Mz is reached in 10 equal increments
1.3 Conditions
initial
Without object.
Code_Aster
®
Version
7.4
Titrate:
SSNV144 Coude in bending in great displacements
Date
:
07/11/05
Author (S):
J.M. PROIX, P. MASSIN
Key
:
V6.04.144-A
Page:
3/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/05/005/A
2
Reference solution
2.1
Method of calculation used for the reference solution
In linear elasticity, cf [V6.02.117] one carries out a comparison with other numerical results
obtained with Code_Aster on a mesh 3D of the elbow and right parts, connected at the ends to
right beams. This mesh 3D comprises 1024 meshs HEXA20. A modeling COQUE_3D
give close results.
2.2
Results of reference
For one moment applied Mz in D, displacement DY of the same point D is worth:
Moment
Dy not D (m) (3D)
Dy not D (m) (COQUE_3D)
3.08670D+08 1.09349D02
1.08875D02
2.3
Uncertainty on the solution
Owing to the fact that the reference solution is numerical, one can evaluate the precision according to [§2.2] to 2% by
comparison of the 3D solutions and COQUE_3D.
Code_Aster
®
Version
7.4
Titrate:
SSNV144 Coude in bending in great displacements
Date
:
07/11/05
Author (S):
J.M. PROIX, P. MASSIN
Key
:
V6.04.144-A
Page:
4/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/05/005/A
3 Modeling
With
3.1
Characteristics of modeling
COQUE_3D
3.2
Characteristics of the mesh
A number of nodes: 1480
A number of meshs and type: 360 QUAD9
3.3
Functionalities tested
Controls Options
“MECHANICAL” AFFE_MODELE
“COQUE_3D”
DEFI_MATERIAU “ECRO_LINE”
DEFI_MATERIAU “ELAS”
AFFE_CARA_ELEM HULL
STAT_NON_LINE VMIS_ISOT_LINE
STAT_NON_LINE DEFORMATION GREEN_GR
Code_Aster
®
Version
7.4
Titrate:
SSNV144 Coude in bending in great displacements
Date
:
07/11/05
Author (S):
J.M. PROIX, P. MASSIN
Key
:
V6.04.144-A
Page:
5/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/05/005/A
4
Results of modeling A
4.1 Values
tested
To compare the results of the linear elastic design (MECA_STATIQUE) with the solution of
reference, one compares displacements of 4 nodes of the section of the tube corresponding to the point D
(CIRCLE 2).
Increment of load
DY of the point D
1: Mz =3.08670D+06Nm
DY (m)
Linear calculation:
Node
Reference
(COQUE_3D)
Aster
% diff
N1157 1.08875D03
1.08154D-03
0.6
N1104 1.08875D03
1.09424D-03 0.5
N1109 1.08875D03
1.08427D-03 0.4
N1099 1.08875D03
1.08427D-03 0.4
The tests of nonlinear calculations are tests of nonregression.
Elastoplastic calculation (not regression)
Node
Aster
N1157 1.079288D-03
N1104 1.09199D-03
N1109 1.082028D-03
N1099 1.082028D-03
Calculation great displacements (not regression):
Node
Aster
N1157 1.079777D-03
N1104 1.09299D-03
N1109 1.082769D-03
N1099 1.082769D
- 03
Code_Aster
®
Version
7.4
Titrate:
SSNV144 Coude in bending in great displacements
Date
:
07/11/05
Author (S):
J.M. PROIX, P. MASSIN
Key
:
V6.04.144-A
Page:
6/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/05/005/A
5
Summary of the results
This test makes it possible to validate the elements COQUE_3D into linear and nonlinear geometrical for one
real geometry having two curvatures. The results are close (less than 1%) to the reference
numerical in elasticity.