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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

Date:
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Author (S):
P. Key MASSIN, A LACHAIZE
:
V3.03.119-A Page:
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Organization (S): EDF/AMA
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.119

SSLS 119 - Subjected embedded CROCHET
with a sharp effort at its end

Summary:

This test represents a static calculation of an embedded hook subjected to a shearing force, consisted of one
elastic material. This test makes it possible to validate following modelings finite elements:

·
DST (QUAD4),
·
DKT (QUAD4),
·
COQUE_3D (QUAD9),
·
COQUE_3D (TRIA7),
·
linear 3D (HEXA8) and quadratic (HEXA20).

One studies blocking in transverse shearing particularly there.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

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1
Problem of reference

1.1 Geometry

Y
Height H =0.508 m

t=0.0508 m
R=0.3536 m
R=1.1684 m
WITH, B
X
30°
C

1.2
Properties of material

The properties of material constituting the beam are:

E = 22752510 Pa
Young modulus
= 0.35
Poisson's ratio

1.3
Boundary conditions and loadings

·
C.L. : Embedded side AB
·
Linear force Fz=8.7594 NR/m for the hulls.
·
Surface force Fz=172.4307 NR/m2 for the 3D.

1.4 Conditions
initial

Without object

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

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SSLS119 - Embedded CROCHET subjected to a sharp effort

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2
Reference solution

This test makes it possible to test blocking in transverse shearing as well as the effects of the rigidity of
rotation around the normal. It makes it possible to validate the choice COEF_RIGI_DRZ = 1. E05, value by
defect of this coefficient. This multiplicative factor makes it possible to affect a fictitious rigidity around
normal of the elements of plate by multiplying minimal rigidity according to the other directions by it
coefficient in order to avoid the singular matrices of rigidity.

2.1
Results of reference

The results of reference result from a calculation by finite elements voluminal:

Value of the deflection out of C: 4.93 in is 1.252 E-01 Mr.

2.2
Uncertainties on the solution

A few % following the refinement of the grid.

2.3 References
bibliographical

[1]
Raasch Challenge for Shell Elements, N.F. Knight Jr., AIAA Newspaper, vol. 35, N°2, 1997,
p 375-381.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

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3 Modeling
With

3.1
Characteristics of modeling

DST modeling

Boundary conditions: side AB: U = v =w = 0




z= X = y =0
Fz = 8.7594 NR/m


3.2
Characteristics of the grid

A number of nodes: 2877
A number of meshs and type: 20 (according to Z) x136 (length) QUAD4

3.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE MODELING
DST

AFFE_CARA_ELEM HULL

EPAIS

COEF_RIGI_DRZ
1.E-05

MECA_STATIQUE



4
Results of modeling A

4.1 Values
tested

grid Identification Référence
Aster %
difference
5 X 34
DZ
1.252 E-01
1.48268 E-01
18.42%
10 X 68
DZ
1.252 E-01
2.38825 E-01
90.75%
20 X 136
DZ
1.252 E-01
4.45694 E-01
256.00%

4.2 Parameters
of execution

Version: NEW 6.01.08

Machine: SGI-Origin2000 R12000

Obstruction memory: 16 megabytes
Time CPU To use: 15.67 seconds

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

Date:
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5 Modeling
B

5.1
Characteristics of modeling

Modeling DKT

Boundary conditions: side AB: U = v =w = 0




z= X = y =0
Fz = 8.7594 NR/m


5.2
Characteristics of the grid

A number of nodes: 2877
A number of meshs and type: 20 (according to Z) x136 (length) QUAD4

5.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE MODELING
DKT

AFFE_CARA_ELEM HULL

EPAIS


COEF_RIGI_DRZ
1.E-05

MECA_STATIQUE



6
Results of modeling B

6.1 Values
tested

grid Identification Référence
Aster %
difference
5 X 34
DZ
1.252 E01
1.19617 E01
­ 4.81%
10 X 68
DZ
1.252 E01
1.16733 E01
­ 6.76%
20 X 136
DZ
1.252 E01
1.06726 E01
­ 14.75%

6.2 Parameters
of execution

Version: NEW 6.01.08

Machine: SGI-Origin2000 R12000

Obstruction memory: 16 megabytes
Time CPU To use: 13.23 seconds

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

Date:
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P. Key MASSIN, A LACHAIZE
:
V3.03.119-A Page:
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7 Modeling
C

7.1
Characteristics of modeling

Modeling COQUE_3_D

Boundary conditions: side AB: U = v =w = 0





=0
z= X = y
Fz = 8.7594 NR/m


7.2
Characteristics of the grid

A number of nodes: 11193
A number of meshs and type: 20 (according to Z) x136 (length) QUAD9

7.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE MODELING
COQUE_3D

AFFE_CARA_ELEM HULL

EPAIS


COEF_RIGI_DRZ
1.E-05

MECA_STATIQUE



8
Results of modeling C

8.1 Values
tested

grid Identification Référence
Aster %
difference
5 X 34
DZ
1.252 E-01
1.31964 E-01
5.40%
10 X 68
DZ
1.252 E-01
1.31574 E-01
5.10%
20 X 136
DZ
1.252 E-01
1.31195 E-01
4.79%

8.2 Parameters
of execution

Version: NEW 6.01.08

Machine: SGI-Origin2000 R12000

Obstruction memory: 16 megabytes
Time CPU To use: 83.67 seconds

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

Date:
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9 Modeling
D

9.1
Characteristics of modeling

Modeling 3D CUB8

Boundary conditions: side AB: U = v =w = 0

Fz = 172.4307 NR/m2


9.2
Characteristics of the grid

A number of nodes: 6072
A number of meshs and type: 10 (according to Z) X 68 (length) X 1 (thickness) HEXA8

9.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE MODELING
3D

MECA_STATIQUE



10 Results of modeling D
10.1 Values
tested

grid Identification Référence
Aster %
difference
5 X 34
DZ
1.252 E01
1.23233 E01
­ 1.57%
10 X 68
DZ
1.252 E01
1.28808 E01
2.88%
20 X 136 X 2
DZ
1.252 E01
1.32292 E01
5.66%

10.2 Parameters
of execution

Version: NEW 6.01.08

Machine: SGI-Origin2000 R12000

Obstruction memory: 16 megabytes
Time CPU To use: 8.47 seconds

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

Date:
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Author (S):
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11 Modeling
E

11.1 Characteristics of modeling

Modeling 3D CU20

Boundary conditions: side AB: U = v =w = 0

Fz = 172.4307 NR/m2


11.2 Characteristics of the grid

A number of nodes: 5160
A number of meshs and type: 10 (according to Z) X 68 (length) X 1 (thickness) HEXA20

11.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE MODELING
3D

MECA_STATIQUE



12 Results of modeling E
12.1 Values
tested

grid Identification Référence
Aster %
difference
5 X 34
DZ
1.252 E-01
1.32077 E-01
5.49%
10 X 68
DZ
1.252 E-01
1.33518 E-01
6.64%
20 X 136 X 2
DZ
1.252 E-01
1.34315 E-01
7.28%

12.2 Parameters
of execution

Version: NEW 6.01.08

Machine: SGI-Origin2000 R12000

Obstruction memory: 16 megabytes
Time CPU To use: 22.54 seconds

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

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13 Modeling
F

13.1 Characteristics of modeling

Modeling COQUE_3_D

Boundary conditions: side AB: U = v =w = 0





=0
z= X = y
Fz = 8.7594 NR/m


13.2 Characteristics of the grid

A number of nodes: 11193
A number of meshs and type: 40 (according to Z) x272 (length) TRIA7

13.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE MODELING
COQUE_3D

AFFE_CARA_ELEM HULL

EPAIS

COEF_RIGI_DRZ
1.E-05

MECA_STATIQUE



14 Results of modeling F
14.1 Values
tested

grid Identification Référence
Aster %
difference
10 X 68
DZ
1.252 E-01
1.3224 E-01
5.62%
20 X 136
DZ
1.252 E-01
1.31835 E-01
5.30%
40 X 272
DZ
1.252 E-01
1.31536 E-01
5.06%

14.2 Parameters
of execution

Version: NEW 6.01.08

Machine: SGI-Origin2000 R12000

Obstruction memory: 16 megabytes
Time CPU To use: 103.52 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
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Titrate:
SSLS119 - Embedded CROCHET subjected to a sharp effort

Date:
05/02/02
Author (S):
P. Key MASSIN, A LACHAIZE
:
V3.03.119-A Page:
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15 Summary of the results

The DST element with taking into transverse account of shearing does not seem to converge on it
specific case-test. The elements COQUE_3D triangles and quadrangles with taking into account of
transverse shearing do not present the same behavior and behave it rather of course
test.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

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