Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements

Date
:

17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
1/6

Organization (S): EDF-R & D/AMA
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
Document: V3.04.306
SSLV306 - Poutre 3D in imposed displacements

Summary:

The purpose of the test is to validate the displacements imposed on faces (FACE_IMPO), their values being variable
in space. These values are imposed at the end of a beam 3D, modelling a bending strain.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements

Date
:

17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
2/6

1
Problem of reference

1.1 Geometry


Length
: L
= 2 m
Square section, on side
: has
= 0.2 m
Moment of inertia
: I
= 1.333 X 10­4 m4

1.2
Material properties

E = 2.1 X 1011 Pa
= 0.3

1.3
Boundary conditions and loadings

· Embedding of section ABCD
· Displacement imposed on face EFGH:
- constant
vo in the direction y, vo = 0.952 X 10­5 m
-
varying according to the position there point of the section, and being worth:
uo = there O, O = 0.714 X 10­5 radians

1.4 Conditions
initial

Without object for the static analysis.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements

Date
:

17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
3/6

2
Reference solution

2.1
Method of calculation used for the reference solution

The displacements imposed equivalent on a force applied at the end of resultant:

3EI
F =
v =
NR
O
100
L3

O represents the rotation of section EFGH:

FL2
O =

2EI

The bending stress xx with embedding is worth then:

(
)
FL
ABCD
xx
= ±

I/y

2.2
Results of reference

· Displacement v of the points E, F, G, H
· Bending stresses xx at the points A, B, C, D

2.3
Uncertainty on the solution

Analytical solution.

Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements

Date
:

17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

3D, H20 meshs

y, v

Z, W
D
C
B
H
G
E
F

X, U

Loading by displacements imposed on face EFGH:

· DY: 0.952 X 10­5

· DX: function of there defined in 2 points: F (0) = 0
F (0,1) = - 0.0714E-5

Cutting:
· 20 elements according to the length
· 2 elements according to the width and the thickness

3.2
Characteristics of the grid

A number of nodes: 621
A number of meshs and types: 80 HEXA20

3.3 Functionalities
tested

Commands


“MECHANICAL” AFFE_MODELE “3D”
TOUT
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO

AFFE_CHAR_MECA_F FACE_IMPO
GROUP_MA

CALC_CHAM_ELEM OPTION
“SIGM_ELNO_DEPL”

Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements

Date
:

17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
5/6

4
Results of modeling A

4.1 Values
tested

Standard localization
of
value
Reference
Aster
% difference
Points E, F, G, H
v (m)
9.52 X 10­6
9.52 X 10­6 0
Points E, F
U (m)
7.14 X 10­7
7.14 X 10­7 0.
Points G, H
U (m)
­ 7.14 X 10­7
­ 7.14 X 10­7 0.
Points A, B
xx (Pa)
1.5 X 105
1.64 X 105 9.5
Points C, D
xx (Pa)
­ 1.5 X 105
­ 1.64 X 105 ­ 9.5

Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements

Date
:

17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
6/6

5
Summary of the results

The functionality “displacements imposed function” provides the awaited results; values of
stress bending are satisfactory, given that the dealt with problem is a problem of
inflection.

Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A

Outline document