8. F modeling

8.1. Characteristics of modeling

The law of behavior tested is” VMIS_ECMI_LINE “documented in doc [R5.03.16]. It is a Von Mises law with linear kinematic work hardening and linear isotropic work hardening. The elastic parameters are as follows:

\(E(T)\), \(\nu (T)\), and \(\alpha (T)\)

The elastoplastic parameters are as follows:

\({\sigma }_{y}(T)\), \({E}_{T}(T)\), and \(C(T)\).

Values of the parameters used:

Settings	\(T=20°C\)	\(T=500°C\)
\(E(T)\)	\(2.E5\) \(\mathrm{MPa}\)	\(1.E5\) \(\mathrm{MPa}\)
\(\nu (T)\)	\(0.\)	\(0.\)
\(\alpha (T)\)	\(1.E-5\) \({K}^{-1}\)	\(2.E-5\) \({K}^{-1}\)
\({\sigma }_{y}(T)\)	\(100.\) \(\mathrm{MPa}\)	\(50.\) \(\mathrm{MPa}\)
\({E}_{T}(T)\)	\(10000.\) \(\mathrm{MPa}\)	\(5000.\) \(\mathrm{MPa}\)
\(C(T)\)	\(2000.\) \(\mathrm{MPa}\)	\(500.\) \(\mathrm{MPa}\)

8.2. 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	97.5	0.10%
RESU_9	TRACE (\(\mathrm{MPa}\))	AUTRE_ASTER	-97.5	0.10%
RESU_9	V1	AUTRE_ASTER	9.025E-03	0.10%