7. Modeling E

7.1. Characteristics of modeling

The law of behavior tested is” VENDOCHAB “. It is a law of viscoplastic behavior coupled with isotropic Lemaitre-Chaboche damage [R5.03.15]. The elastic parameters are as follows:

Settings	\(T=20°C\)	\(T=500°C\)
\(E(T)\)	\(150000\) \(\mathrm{MPa}\)	\(100000\) \(\mathrm{MPa}\)
\(\nu (T)\)	\(0.\)	\(0.\)
\(\alpha (T)\)	\(1.\times {10}^{-5}\) \({K}^{-1}\)	\(2.\times {10}^{-5}\) \({K}^{-1}\)

The parameters of the viscoplastic law are as follows:

\(S(T)\), \({\alpha }_{D}(T)\), \({\beta }_{D}(T)\), \(1\mathrm{/}K(T)\), \({A}_{D}(T)\),, \({R}_{D}(T)\), and \({K}_{D}(T)\)

\(N(T)\), \(1\mathrm{/}K(T)\), and \(1\mathrm{/}M(T)\)

Values of the parameters used:

Settings	\(T=20°C\)	\(T=500°C\)
\(S(T)\)	\(0.\) \(\mathrm{MPa}\)	\(900.\) \(\mathrm{MPa}\)
\({\alpha }_{D}(T)\)	\(0.\)	\(1.\)
\({\beta }_{D}(T)\)	\(0.\)	\(1.\)
\({A}_{D}(T)\)	\(3.\times {10}^{3}\) \(\mathrm{MPa}\)	\(3.5\times {10}^{3}\) \(\mathrm{MPa}\)
\({R}_{D}(T)\)	\(6\)	\(7\)
\({K}_{D}(T)\)	\(15\)	\(10\)

Settings	\(T=20°C\)	\(T=500°C\)
\(N(T)\)	\(12\)	\(15\)
\(1\mathrm{/}K(T)\)	\(5.\times {10}^{-3}{(\mathrm{Mpa})}^{\text{-1}}\)	\(1.\times {10}^{-3}{(\mathrm{Mpa})}^{\text{-1}}\)
\(1\mathrm{/}M(T)\)	\(0.\)	\(0.1111\)

7.2. Tested sizes and results

Result at order number \(i\)	Name of the tested parameter	Name of the tested parameter	Reference type	tolerance
RESU_9	VMIS (\(\mathrm{MPa}\))	AUTRE_ASTER	959.9793	0.10%
RESU_9	TRACE (\(\mathrm{MPa}\))	AUTRE_ASTER	-959.9802	0.10%
RESU_9	V1	AUTRE_ASTER	-9.8381E-08	0.10%