Code_Aster ®
Version
5.0
Titrate:
SSNL111 - Trois elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S):
C. CHAVANT, F. VOLDOIRE
Key: V6.02.111-A Page: 1/6

Organization (S): EDF/AMA
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
V6.02.111 document

SSNL111 - Trois 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.

Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSNL111 - Trois elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S):
C. CHAVANT, F. VOLDOIRE
Key: V6.02.111-A Page: 2/6

1
Problem of reference

1.1 Geometry
1
2
3
L
y
P
P
P
1
2
3
X
L
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 = 200000 MPa
Y
= 0.3

E

Y = 200 MPa
= 0.00001


1.3
Boundary conditions and loadings

The three bars have a displacement blocked according to OY at the points higher ends, where they
are articulated, and they are attached at the lower points P1, P2, P3, than one can represent by one
rigid frame 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
350
300
250
Barre1
200
Barre2
°C 150
Barre3
100
50
0
0
1
2
3
3,81
4
5
you mps

Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSNL111 - Trois elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S):
C. CHAVANT, F. VOLDOIRE
Key: V6.02.111-A Page: 3/6

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
in P1, P2, P3.
yy

Modeling B
Normal effort NR constant on each bar (value identical to, because a section was taken
yy
equalize to 1).

2.3 References
bibliographical

[1]
S. ANDRIEUX: TD 1 Trois thermoelastoplastic bars perfect Von Mises. In “Initiation with
thermoplasticity in Code_Aster “, HI-74/November 96,/013 1996 (handbook of reference
course).

Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSNL111 - Trois elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S):
C. CHAVANT, F. VOLDOIRE
Key: V6.02.111-A Page: 4/6

3 Modeling
With

3.1
Characteristics of modeling

Elements 2D (QUAD4). Modeling C_PLAN.

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


3.2
Characteristics of the grid

A number of nodes: 12.
A number of meshs and types: 3 QUAD4.

3.3
Functionalities tested

Commands


AFFE_MODELE
AFFE
MODELISATION:“C_PLAN”
DEFI_MATERIAU ECRO_LINE
D_SIGM_EPSI


SY

STAT_NON_LINE COMP_INCR
VMIS_ISOT_LINE


OPTION
ELNO

Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSNL111 - Trois elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S):
C. CHAVANT, F. VOLDOIRE
Key: V6.02.111-A Page: 5/6

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

Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSNL111 - Trois elastoplastic bars thermo perfect Von Mises
Date:
09/04/02
Author (S):
C. CHAVANT, F. VOLDOIRE
Key: V6.02.111-A Page: 6/6

5 Modeling
B

5.1
Characteristics of modeling

3 elements 1D (SEG2). Modeling BARS

5.2
Characteristics of the grid

6 nodes.
3 meshs SEG2

5.3
Functionalities tested

Commands


AFFE_MODELE
AFFE
MODELISATION:“BARRE”
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
No Référence
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.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/02/001/A

Outline document