6. E modeling#

6.1. Behavioral law and material parameters#

The law of behavior tested “LEMAITRE_IRRA”, is documented in doc R5.03.08. This is a law of creep and enlargement behavior under irradiation for fuel assemblies. Values of the parameters used:

Settings

\(T=0°C\)

\(T=500°C\)

\(E(T)\)

\(2.E5\mathit{MPa}\)

\(1.E5\mathit{MPa}\)

\(\nu (T)\)

\(0.\)

\(0.\)

\(\alpha (T)\)

\(1.E-5{K}^{-1}\)

\(2.E\mathrm{-}5{K}^{\mathrm{-}1}\)

\(N(T)\)

\(2.3364\)

\(2.3364\)

\(1\mathrm{/}K(T)\)

\(1.E-6{(\mathit{MPa})}^{-1}\)

\(1.E-6{(\mathit{MPa})}^{-1}\)

\(1\mathrm{/}M(T)\)

\(0.207060772\)

\(0.207060772\)

\(L\)

\(0.\)

\(0.\)

\({\mathit{PHI}}_{}\mathit{ZERO}\)

4.240281E+21

4.240281E+21

\(\mathit{BETA}\)

\(1.2\)

\(1.2\)

\({\mathit{QSR}}_{K}\)

\(3321.093\)

\(3321.093\)

Finally, the last parameter GRAN_FO depends on both the temperature and the irradiation:

\({\mathit{GRAN}}_{\mathit{FO}}(T,\mathit{IRRA})=(1.51E-14T+1.542E-11){\mathit{IRRA}}^{0.396}\)

The irradiation values as a function of the times are as follows:

INST

IRRA

\(0\)

\(0\)

\(0.5\)

\(0\)

\(1\)

\(2\)

6.2. Results#

Result at order number \(i\)

Name of the tested parameter

Name of the tested parameter

Reference type

tolerance

RESU_19

VMIS (MPa)

AUTRE_ASTER

1000

0.10%

RESU_19

TRACE (MPa)

AUTRE_ASTER

-1000

0.10%