background image
Code_Aster
®
Version
5.0
Titrate:
SSNL111 - Three elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S)
:
C. CHAVANT, F. VOLDOIRE
Key:
V6.02.111-A
Page:
1/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
Organization (S)
: EDF/AMA














Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document
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SSNL111 - Three elastoplastic thermo bars
Perfect von Mises



Summary:

This quasi-static test enters within the framework of the validation of the relations of elastoplastic behavior.
Three elastoplastic thermo bars perfect, parallel, rotulées on a rigid support at an end and
rotulées on a rigid bar with the other, undergo an external thermal loading.

This application, where all the fields are uniform in each bar makes it possible to validate 2 types of
numerical modelings: massive finite elements (2D forced plane), plates and bars.
background image
Code_Aster
®
Version
5.0
Titrate:
SSNL111 - Three elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S)
:
C. CHAVANT, F. VOLDOIRE
Key:
V6.02.111-A
Page:
2/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
P
L
1
2
3
L



P
P



1
2
3



X
y

L

L

L
The three bars have the same length
L
=1m
, and are spaced of
L = 1m
.
1.2
Material properties
Law of elastoplastic thermo behavior perfect standard, with criterion of Von Mises.
plastic deformations are null in an initial state.
E
E = 200000 MPa
= 0.3
Y
= 200 MPa
Y
= 0.00001
1.3
Boundary conditions and loadings
The three bars have a following locked displacement
OY
at the points higher ends, where they
are articulated, and they are attached at the lower points
P
1,
P
2
, P
3
, that one can represent by one
rigid jig compels to move vertically, length
4l
on which the three are articulated
bars. The bars are free of mechanical effort.
The way of loading is described by the change of the temperature, uniform in each bar
(
T
max
= 330°C
):
T empératures
0
50
100
150
200
250
300
350
0
1
2
3
3,81
4
5
you mps
°C
Barre1
Barre2
Barre3
background image
Code_Aster
®
Version
5.0
Titrate:
SSNL111 - Three elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S)
:
C. CHAVANT, F. VOLDOIRE
Key:
V6.02.111-A
Page:
3/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
2
Reference solution
2.1
Method of calculation used for the reference solution
To refer to the document [bib1] which provides the elastoplastic thermo solution.

2.2
Results of reference
Modeling A
yy
in P1, P2, P3.
Modeling B
Normal effort NR constant on each bar (value identical to
yy
, because a section was taken
equalize to 1).

2.3 References
bibliographical
[1]
S. ANDRIEUX: Thermoelastoplastic TD 1 Three bars perfect Von Mises. In “Initiation with
thermoplasticity in Code_Aster “, HI-74/November 96,/013 1996 (manual of reference
course).
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Code_Aster
®
Version
5.0
Titrate:
SSNL111 - Three bars thermo elastoplastic perfect Von Mises
Date:
09/04/02
Author (S)
:
C. CHAVANT, F. VOLDOIRE
Key:
V6.02.111-A
Page:
4/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
Elements 2D (QUAD4). Modeling C_PLAN.

X
y
1
P
P
P
2
3
1
2
3
Q
Q
Q
1
2
3
R
R
R
1
S
S
S
2
3

3.2
Characteristics of the mesh
A number of nodes: 12.
A number of meshs and types: 3 QUAD4.

3.3
Functionalities tested
Controls
AFFE_MODELE
AFFE
MODELING:“C_PLAN”
DEFI_MATERIAU ECRO_LINE
D_SIGM_EPSI
SY
STAT_NON_LINE COMP_INCR
VMIS_ISOT_LINE
OPTION
ELNO
background image
Code_Aster
®
Version
5.0
Titrate:
SSNL111 - Three elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S)
:
C. CHAVANT, F. VOLDOIRE
Key:
V6.02.111-A
Page:
5/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
4
Results of modeling A
4.1 Values
tested
Identification Moments Node
Reference
Aster Variation
%
yy
1 P1 ­ 200
­ 200.00000
0
yy
P2 100
100.00000
0
yy
P3 100
100.00000
0
yy
2 P1 ­ 200
­ 200.00036
1.8
E4
yy
P2 100
100.00017
1.7
E4
yy
P3 100
100.00017
1.7
E4
yy
3 P1 20
19.99978
­ 1.1
E3
yy
P2 ­ 120
­ 119.99989
­ 0.8
E4
yy
P3 100
100.00010
1
E4
yy
4 P1 200
200.00060
3
E4
yy
P2 ­ 100
­ 100.00008
0.8
E4
yy
P3 ­ 100
­ 100.00008
0.8
E4
yy
5 P1 200
200.00002
0.1
E4
yy
P2 ­ 100
­ 100.00011
1.1
E4
yy
P3 ­ 100
­ 100.00011
1.1
E4

background image
Code_Aster
®
Version
5.0
Titrate:
SSNL111 - Three elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S)
:
C. CHAVANT, F. VOLDOIRE
Key:
V6.02.111-A
Page:
6/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A
5 Modeling
B
5.1
Characteristics of modeling
3 elements 1D (SEG2). Modeling
BAR
5.2
Characteristics of the mesh
6 nodes.
3 meshs SEG2
5.3
Functionalities tested
Controls
AFFE_MODELE
AFFE
MODELING:“BAR”
DEFI_MATERIAU ECRO_LINE
D_SIGM_EPSI
SY
STAT_NON_LINE COMP_INCR
VMIS_ISOT_LINE
OPTION
SIEF_ELNO_ELGA


6
Results of modeling B
6.1 Values
tested
Identification Instants Bars
N
O
Reference
Aster Variation
%
normal effort NR
1
1
­ 200
­ 200
0
normal effort NR
2
100
100
0
normal effort NR
3
100
100
0
normal effort NR
2
1
­ 200
­ 200
0
normal effort NR
2
100
100
0
normal effort NR
3
100
100
0
normal effort NR
3
1
20
20
0
normal effort NR
2
­ 120
­ 120
0
normal effort NR
3
100
100
0
normal effort NR
4
1
200
200
0
normal effort NR
2
­ 100
­ 100
0
normal effort NR
3
­ 100
­ 100
0
normal effort NR
5
1
200
200
0
normal effort NR
2
­ 100
­ 100
0
normal effort NR
3
­ 100
­ 100
0


7
Summary of the results
The results provided by Code_Aster are in excellent agreement with the analytical solution.