Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
1/8

Organization (S): EDF-R & D/AMA

Handbook of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
Document: V6.04.162

SSNV162 - Calcul of creep of dessication
intrinsic with the model of Bazant
Summary:

This test makes it possible to validate the model of intrinsic creep of dessication of Bazant. This type of creep
start under the effect of the drying accompanied by a mechanical loading. The results of this test are
compared with the analytical solution for two plane forced modelings and 3D.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
2/8

1
Problem of reference

1.1 Geometry
Z
E
H
y
X
L

height: H = 1m
width: L = 1 m
thickness: E = 1 m

1.2
Properties of material

E = 36400E6 Pa
= 0.248

Here one informs also the curve sorption-desorption which connects the water content C to the hygroscopy h.
In this case one supposed that the numerical values of C and H are the same ones.

Parameters specific to the intrinsic creep of dessication:
= 1.875E - 11
1
-
Pa

1.3
Boundary conditions and loadings

In this test, one creates a homogeneous field of drying in the structure which varies with time.
At initial time 0s, the hygroscopy is worth 1 or 100% and at the final moment 10 days = 864000s is worth 0.75 or
75%.
Concerning the mechanical loading, one charges in compression of 0 à10 MPa in 1s
according to X on the right facet (called AVANT in the file of grid), and one it maintains
constant loading during 10 days.

1.4 Conditions
initial

The beginning of calculation is supposed the moment ­ 1. At this moment there is neither field of drying, nor forced
mechanics.
At moment 0, one applies a field of drying corresponding to 100% of hygroscopy.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
3/8

2
Reference solution

2.1
Method of calculation

The equation of the model is:
fl
&
= &
as of
H

The integration of this equation between moments 0 and T gives:

fl
-
=
-

as of (T)
fldess (0) (H (T) H (0)

is a fact of the case. The loading is maintained constant, therefore is constant with all
moments. (0) is null and H (0) is worth 1. One can deduce fl

at every moment of calculation.
as of (T)

The elastic component of the field of deformation remains constant during all calculation:


E
(T) =
E
and the total deflection is:

E
fl
= +
as of

2.2
Sizes and results of reference

The test is homogeneous. One tests the deformation in an unspecified node.

2.3
Uncertainties on the solution

Exact analytical result.

2.4 References
bibliographical

[1]
L. GRANGER: Behavior differed from the concrete in the enclosures of nuclear thermal power stations:
analyze and modeling. Thesis of doctorate of the ENPC (1995).
[2]
F. BENBOUDJEMA, F. MEFTAH, J.M. TORRENTI, Y. LE-PAPE: Algorithm of the model of
clean creep and of dessication. UMLV coupled to an elastic model. Note HS-DG/02/?.
EDF (to be appeared)
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
4/8

3 Modeling
With

3.1
Characteristics of modeling

Modeling forced plane.

y
N7
N6
N5
D
C
N8
N4
With
B
N1
N2
N3
X

The boundary conditions and the loading are modelled by:

FACE_IMPO and PRES_REP respectively.

One imposes a field of initial drying and a field of final drying which are homogeneous.
passage of the field of drying to the hygroscopy is done with the curve sorption-desorption (given
user).

3.2
Characteristics of the grid

A number of nodes: 8
A number of meshs: 1 of type QUAD 8

4 of type SEG3
The following meshs are defined: AB, BC, CD and DA
To represent ¼ structure, one puts the boundary conditions following:
On AB: DY = 0
On AD: DX = 0

3.3 Functionalities
tested

Commands
Key word


DEFI_MATERIAU ELAS_FO
FONC_DESORP

BAZANT_FD
LAM_VISC
CREA_CHAMP “AFFE”
NOM_CMP=' TEMP'


“TEMP_INF”



“TEMP_SUP”

TYPE_CHAM=' NOEU_TEMP_R'

CREA_RESU AFFE
CHAM_GD

TYPE_RESU=' EVOL_THER'
AFFE_CHAR_MECA FACE_IMPO


PRES_REP
SECH_CALCULEE
STAT_NON_LINE COMP_INCR
RELATION= `BAZANT_FD'

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
5/8

3.4
Sizes tested and results

The component with the N4 node was tested
xx

Moment Reference Aster %
difference
0. 0.
0.
-
1.
­ 2.74725 E4
­ 2.747253018 E4
1.E4
10.7999875 E+4
­ 2.80584 E4
­ 2.8058467007 E4
2.39 E4
53.9999375 E+4
­ 3.04022 E4
­ 3.0402214294 E4
4.70 E5
86400. E+4
­ 3.12600 E4
­ 3.2160024759 E4
7.70 E5

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
6/8

4 Modeling
B

4.1
Characteristics of modeling

Modeling 3D
Z
NO7
NO5
NO8
NO6
NO1
NO3
y
NO4
NO2
X


4.2
Characteristics of the grid

A number of nodes:8
A number of meshs: 1 of type HEXA 8

6 of type QUAD 4

The following meshs are defined:

ARRIERE NO1 NO3 NO7 NO5
AVANT
NO2 NO6 NO8 NO4
DROITE
NO1 NO5 NO6 NO2
GAUCHE NO3 NO4 NO8 NO7
BAS
NO1 NO2 NO4 NO3
HAUT
NO5 NO7 NO8 NO6

To represent the 1/8th structure, the boundary conditions in displacement imposed are:

On nodes NO1, NO2, NO4 and NO3: DZ = 0
On nodes NO3, NO4, NO8 and NO7: DY = 0
On nodes NO1, NO3, NO5 and NO7: DX = 0

The loading is consisted of the same field of drying and the same pressure divided into
compression on mesh “AVANT”.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
7/8

4.3 Functionalities
tested

Moment Reference Aster %
difference
0. 0. 0.
-
1.
­ 2.74725 E4
­ 2.747253018 E4
1.E4
10.7999875 E+4
­ 2.80584 E4
­ 2.8058467007 E4
2.39 E4
53.9999375 E+4
­ 3.04022 E4
­ 3.0402214294 E4
4.70 E5
86400. E+4
­ 3.12600 E4
­ 3.2160024759 E4
7.70 E5

4.4
Sizes tested and results

The component with node NO6 was tested.
xx

Moment Reference Aster %
difference
0. 0. 0.
-
1.
­ 2.74725 E4
­ 2.747253018 E4
1.E4
10.7999875 E+4
­ 2.80584 E4
­ 2.8058467007 E4
2.39 E4
53.9999375 E+4
­ 3.04022 E4
­ 3.0402214294 E4
4.70 E5
86400. E+4
­ 3.12600 E4
­ 3.2160024759 E4
7.70 E5

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.3
Titrate:
SSNV162 - Calcul of intrinsic creep of dessication

Date:
12/12/02
Author (S):
J. EL GHARIB Key
:
V6.04.162-B Page:
8/8

5
Summary of the results

The values obtained with Code_Aster are in agreement with the values of the analytical solution of
reference. This same test was turned with Castem at laboratory LGCU in Université de Marne
Valley the same results were obtained.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

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