Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
1/12
Organization (S): EDF/IMA/MN, SAMTECH SA
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.301
SSNV301 - Cylindrical Anneau in subjected rotation
with a thermal shock and an internal pressure -
Von Mises (Ecrouissage isotropic)
Summary:
This test of quasi-static mechanics non-linear 3D relates to the modeling of a piece of ring
cylindrical and the resumption of a field of deformation checks after a transitory linear thermal calculation (shock
thermics: application of a heat flux inside the cylindrical ring). Then, one takes calculation and one again
check the transfer of the field of thermal deformation of origin and the use of a following loading (force
centrifugal). Then, one takes again calculation once again by applying a pressure interns (change of
boundary conditions). One uses the criterion of Von Mises with isotropic work hardening defined by a function which
depends on the temperature.
Comparison with the numerical results of a modeling with the SAMCEF software V7.0 (module THERNL for
calculation of the field of temperature transitory and taken again with module MECANL for mechanical calculation
non-linear geometrical (“Green”) and material).
Modeling with elements 3D of the meca_hexa20 type and axisymmetric elements of meaxtr6 type. One
use a rather fine grid in order to check the robustness and the performances of Code_Aster.
In two modelings A and B, the pressure applied is not following. Results obtained by
The SAMCEF software are provided with and without following pressure.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
2/12
1
Problem of reference
1.1 Geometry
Roll with:
Interior radius
IH = 0.04 m
External radius
Re = 0.08 m
Height
L = 0.04 m
Re
IH
L
1.2
Material properties
The material is homogeneous isotropic, thermoelastic linear. Material mechanical properties
depend on the temperature. The properties vary linearly between the 2 extreme temperatures:
0°C and 100°C.
Law of behavior to linear isotropic work hardening:

Temperature = 0 °C
Temperature = 100 °C
E
E = 195000 MPa
E = 175500 MPa
T

= 0.3
= 0.3
y
y = 181 MPa
y = 145 MPa

AND = 2857.504 MPa
AND = 1979.695 MPa
Thermal properties and density:
=
J
72 msK
=
kg
7860
3
m
J
CP = 452 kgK
=
1
12.E - 6 K
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
3/12
1.3
Boundary conditions and loadings
The thermal shock is modelled by a heat flux of 300000 W/m2 S inside the cylinder.
structure has an initial temperature of 0°C.
At the same time a centrifugal force is applied: on an interval of 15 S, the disk speed is
increased up to 2400 rad/S, then kept constant.
. (rad/S)
2400
T (S)
15
25
After 15 S, an internal pressure is applied: the pressure increases linearly up to a value
from 5.5 MPa which is reached to 20 S, then the pressure goes down to zero.
p (Mpa)
5.5
T (S)
5
10
15
20
25
Thermal calculation and mechanical calculation are carried out with 50 steps of identical times.
A quarter of the cylinder is modelled by fixing the transverse components of displacements at both
cross sections of the cylinder. Moreover, the degree of translation according to the length of the cylinder is
fixed on the interior radius of the with dimensions inferior of the cylinder.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
4/12
2
Reference solution
2.1
Method of calculation used for the reference solution
Comparison with the numerical results of a voluminal modeling with the SAMCEF software V7.0 with 50
no time (module THERNL for the calculation of the field of temperature transitory and taken again with
modulate MECANL for non-linear mechanical calculation).
An implicit scheme is used for the integration of the equation of heat.
Non-linear mechanical calculation was carried out with the SAMCEF software by using a modeling
axisymmetric with 5 steps of time (geometrical nonlinear modeling (“Green”)) and one
voluminal modeling (a quarter of cylinder) with 5 steps of time (modeling nonlinear
geometrical (“Green”)).
2.2
Results of reference
Evolution of the field of temperature according to the thickness on with dimensions lower of the cylinder
Axisymmetric calculation with 50 steps of time
Temp = 0.5 dryness
Temp = 25 dryness
1.25355E+01
8.64267E+01
5.71233E+00
7.65695E+01
2.44526E+00
6.77355E+01
1.12189E+00
5.98610E+01
4.83644E-01
5.28476E+01
2.22443E-01
4.66462E+01
9.62036E-02
4.11801E+01
4.43444E-02
3.64106E+01
1.92310E-02
3.22765E+01
8.87973E-03
2.87468E+01
3.85960E-03
2.57723E+01
1.78524E-03
2.33283E+01
7.78650E-04
2.13761E+01
3.63114E-04
1.98963E+01
1.64448E-04
1.88596E+01
8.80577E-05
1.82514E+01
6.54904E-05
1.80507E+01
Voluminal calculation with 50 steps of time
Temp = 0.5 dryness
Temp = 25 dryness
1.26658E+01
8.64175E+01
5.64556E+00
7.65753E+01
2.50690E+00
6.77332E+01
1.10448E+00
5.98571E+01
5.06396E-01
5.28510E+01
2.23330E-01
4.66453E+01
9.98984E-02
4.11819E+01
4.41255E-02
3.64095E+01
2.02976E-02
3.22781E+01
8.97177E-03
2.87460E+01
4.05352E-03
2.57736E+01
1.79338E-03
2.33275E+01
8.25938E-04
2.13766E+01
3.68531E-04
1.98979E+01
1.74367E-04
1.88647E+01
8.91805E-05
1.82450E+01
6.98548E-05
1.80607E+01
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
5/12
Evolution of the longitudinal constraint T
Re
IH
With
L
0.5 L
B
0.25 (R - R)
E
I
Case where the pressure is nonfollowing
Nonlinear voluminal calculation
geometrical with 5 steps of time
T (S)

Not A
Not B
15.0
T
1.21692E8
1.67285E8
20.0
T
1.39804E8
1.65266E8
25.0
T
1.28967E8
1.57980E8
Nonlinear axisymmetric calculation
geometrical with 5 steps of time
T (S)

Not A
Not B
15.0
T
1.20472E8
1.66917E8
20.0
T
1.39164E8
1.70412E8
25.0
T
1.28421E8
1.63168E8
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
6/12
Case where the pressure is following
Nonlinear voluminal calculation
geometrical with 5 steps of time
T (S)

Not A
Not B
15.0
T
1.21692E8
1.67285E8
20.0
T
1.39894E8
1.65313E8
25.0
T
1.29032E8
1.58007E8
Nonlinear axisymmetric calculation
geometrical with 5 steps of time
T (S)

Not A
Not B
15.0
T
1.20472E8
1.65934E8
20.0
T
1.39252E8
1.64075E8
25.0
T
1.28485E8
1.56886E8
2.3
Uncertainty on the solution
Uncertainty lower than 1% for thermal calculation, uncertainty lower than 0.5% for calculation
mechanics.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A


Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
7/12
3 Modeling
With
3.1
Characteristics of modeling A
A quarter of cylinder with a regular grid.
3.2
Characteristics of the grid
A number of nodes:
4037
A number of meshs and types:
800 MECA_HEXA20 (8 meshs on
the thickness, 10 meshs on
length and 10 meshs on the quarter
of circle)
3.3 Functionalities
tested
Commands
Keys
THER_LINE
PARM_THETA
1.
[U4.33.01]
DEF_MATERIAU
ECRO_LINE_FO
D_SIGM_EPSI
[U4.23.01]
SY
STAT_NON_LINE
COMP_INCR
DEFORMATION
PETIT_REAC
[U4.32.01]
RELATION
VMIS_ISOT_LINE
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
8/12
4
Results of modeling A
4.1 Values
tested
Identification
Moment
Reference
Aster
% difference
Temperature (N21)
0.5s
1.266580E1
1.266584E1
0.
Temperature (N201)
0.5s
5.645560E0
5.645554E0
0.
Temperature (N202)
0.5s
2.506900E0
2.506894E0
0.
Temperature (N203)
0.5s
1.104480E0
1.104478E0
0.
Temperature (N204)
0.5s
5.063960E1
5.063949E1
0.
Temperature (N205)
0.5s
2.233300E1
2.233298E1
0.
Temperature (N206)
0.5s
9.989840E2
9.989826E2
0.
Temperature (N207)
0.5s
4.412550E2
4.412536E2
0.
Temperature (N208)
0.5s
2.029760E2
2.029754E2
0.
Temperature (N209)
0.5s
8.971770E3
8.971745E3
0.
Temperature (N210)
0.5s
4.053520E3
4.053507E3
0.
Temperature (N211)
0.5s
1.793380E3
1.793372E3
0.
Temperature (N212)
0.5s
8.259380E4
8.259340E3
0.
Temperature (N213)
0.5s
3.685310E4
3.685292E4
0.
Temperature (N214)
0.5s
1.743670E4
1.743665E4
0.
Temperature (N215)
0.5s
8.918050E5
8.918007E5
0.
Temperature (N28)
0.5s
6.985480E5
6.985445E5
0.
Temperature (N21)
25s
8.641750E1
8.641753E1
0.
Temperature (N201)
25s
7.657530E1
7.657529E1
0.
Temperature (N202)
25s
6.773320E1
6.773321E1
0.
Temperature (N203)
25s
5.985710E1
5.985709E1
0.
Temperature (N204)
25s
5.285100E1
5.285104E1
0.
Temperature (N205)
25s
4.664530E1
4.664533E1
0.
Temperature (N206)
25s
4.118190E1
4.118188E1
0.
Temperature (N207)
25s
3.640950E1
3.640950E1
0.
Temperature (N208)
25s
3.227810E1
3.227812E1
0.
Temperature (N209)
25s
2.874600E1
2.874597E1
0.
Temperature (N210)
25s
2.577360E1
2.577356E1
0.
Temperature (N211)
25s
2.332750E1
2.332747E1
0.
Temperature (N212)
25s
2.137660E1
2.137655E1
0.
Temperature (N213)
25s
1.989790E1
1.989793E1
0.
Temperature (N214)
25s
1.886470E1
1.886472E1
0.
Temperature (N215)
25s
1.824500E1
1.824500E1
0.
Temperature (N28)
25s
1.806070E1
1.806074E1
0.
SIYY (M473, N2931)
15s
1.216920E8
1.212172E8
­ 0.390
SIYY (M74, N204)
15s
1.672850E8
1.672363E8
­ 0.029
SIYY (M473, N2931)
20s
1.398040E8
1.396296E8
­ 0.390
SIYY (M74, N204)
20s
1.652660E8
1.654056E8
­ 0.029
SIYY (M473, N2931)
25s
1.289670E8
1.287516E8
­ 0.390
SIYY (M74, N204)
25s
1.579800E8
1.580668E8
­ 0.029
4.2 Parameters
of execution
Version: 3.09
Machine:
System:
Obstruction memory:
16 megawords
Time CPU To use: 4971.07 seconds
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
9/12
5 Modeling
B
5.1
Characteristics of modeling B
5.2
Characteristics of the grid
A number of nodes:
357
A number of meshs and types: 160 MEAXTR6
(8 meshs on the thickness, 10 meshs over the length)
5.3 Functionalities
tested
Commands
Keys
THER_LINE
PARM_THETA
1.
[U4.33.01]
DEF_MATERIAU
ECRO_LINE_FO
D_SIGM_EPSI
[U4.23.01]
SY
STAT_NON_LINE
COMP_INCR
DEFORMATION
PETIT_REAC
[U4.32.01]
RELATION
VMIS_ISOT_LINE
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
10/12
6
Results of modeling B
6.1 Values
tested
Identification
Moment
Reference
Aster
% difference
Temperature (N1)
0.5s
1.25355E1
1.253935E1
0.031
Temperature (N161)
0.5s
5.712330E0
5.710409E0
­ 0.034
Temperature (N162)
0.5s
2.445260E0
2.446690E0
0.058
Temperature (N163)
0.5s
1.121890E0
1.121793E0
­ 0.009
Temperature (N164)
0.5s
4.836440E1
4.839514E1
0.064
Temperature (N165)
0.5s
2.224430E1
2.224511E1
0.004
Temperature (N166)
0.5s
9.620360E2
9.626885E2
0.068
Temperature (N167)
0.5s
4.434440E2
4.434991E2
0.012
Temperature (N168)
0.5s
1.923100E2
1.924445E2
0.070
Temperature (N169)
0.5s
8.879760E3
8.881443E3
0.019
Temperature (N170)
0.5s
3.859600E3
3.862363E3
0.072
Temperature (N171)
0.5s
1.785240E3
1.785670E3
0.024
Temperature (N172)
0.5s
7.786500E4
7.792119E3
0.072
Temperature (N173)
0.5s
3.631140E4
3.632162E4
0.028
Temperature (N174)
0.5s
1.644480E4
1.645681E4
0.073
Temperature (N175)
0.5s
8.805770E5
8.808440E5
0.030
Temperature (N14)
0.5s
6.549040E5
6.553566E5
0.069
Temperature (N1)
25s
8.642670E1
8.642786E1
0.001
Temperature (N161)
25s
7.656950E1
7.656903E1
­ 0.01
Temperature (N162)
25s
6.773550E1
6.773627E1
0.001
Temperature (N163)
25s
5.986100E1
5.986069E1
­ 0.001
Temperature (N164)
25s
5.284760E1
5.284816E1
0.001
Temperature (N165)
25s
4.664620E1
4.664591E1
­ 0.001
Temperature (N166)
25s
4.118010E1
4.118056E1
0.001
Temperature (N167)
25s
3.641060E1
3.641040E1
­ 0.001
Temperature (N168)
25s
3.227650E1
3.227691E1
0.001
Temperature (N169)
25s
2.874680E1
2.874659E1
­ 0.001
Temperature (N170)
25s
2.577230E1
2.577260E1
0.001
Temperature (N171)
25s
2.332830E1
2.332814E1
­ 0.001
Temperature (N172)
25s
2.137660E1
2.137655E1
0.001
Temperature (N173)
25s
1.989790E1
1.989793E1
0.
Temperature (N174)
25s
1.886470E1
1.886472E1
0.001
Temperature (N175)
25s
1.824500E1
1.824500E1
0.
Temperature (N14)
25s
1.806070E1
1.806074E1
0.001
SIYY (M90, N222)
15s
1.204720E8
1.200544E8
­ 0.347
SIYY (M101, N164)
15s
1.659340E8
1.661848E8
0.151
SIYY (M90, N222)
20s
1.391640E8
1.383875E8
­ 0.558
SIYY (M101, N164)
20s
1.640310E8
1.643171E8
0.174
SIYY (M90, N222)
25s
1.284210E8
1.275833E8
­ 0.652
SIYY (M101, N204)
25s
1.568610E8
1.570781E8
­ 0.138
6.2 Parameters
of execution
Version: 3.09
Machine:
System:
Obstruction memory:
16 megawords
Time CPU To use: 58.37 seconds
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
11/12
7
Summary of the results
It was checked that one obtains the same results with or without recovery, with or without modification of
boundary conditions.
It should be noted that the nodal efforts that one provides to Aster are divided by 2 compared to those which
one provides to the SAMCEF software into axisymmetric.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Thermal SSNV301 Choc and mechanical loading
Date: 01/12/98
Author (S)
:
E. LORENTZ, L. LAMMERANT, H. DRION
Key:
V6.04.301-A Page:
12/12
Intentionally white left page.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/98/040 - Ind A