13. K modeling

13.1. Characteristics of modeling

The law of behavior tested is” VISC_CIN2_CHAB “documented in doc [R5.03.04]. It is a viscoplastic Chaboche law with two nonlinear kinematic work-hardening variables, similar to modeling law \(H\), with viscosity in addition. The elastic parameters are as follows:

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

The elastoplastic parameters are as follows:

\({R}_{I}(T)\), \({R}_{0}(T)\), \(B(T)\), \({\mathrm{C1}}_{I}(T)\), \({\mathrm{C2}}_{I}(T)\),, \({\mathrm{G1}}_{0}(T)\), \({\mathrm{G2}}_{0}(T)\), \(K\), \(W\), \({A}_{I}\).

The viscosity parameters are as follows: \(N\), \(1/K(T)\), and \(1/M(T)\).

Values of the parameters used:

Settings	\(T=20°C\)	\(T=500°C\)
\(E(T)\)	\(2.E5\) \(\mathrm{MPa}\)	\(1.E5\) \(\mathrm{MPa}\)
\(\nu (T)\)	\(0.\)	\(0.\)
\(\alpha (T)\)	\(1.E-5\) \({K}^{-1}\)	\(2.E-5\) \({K}^{-1}\)
\({R}_{I}(T)\)	\(300.\) \(\mathrm{MPa}\)	\(150.\) \(\mathrm{MPa}\)
\({R}_{0}(T)\)	\(100.\) \(\mathrm{MPa}\)	\(50.\) \(\mathrm{MPa}\)
\(B(T)\)	\(12.\)	\(5.\)
\({\mathrm{C1}}_{I}(T)\)	\(2000.\) \(\mathrm{MPa}\)	\(500.\) \(\mathrm{MPa}\)
\({\mathrm{C2}}_{I}(T)\)	\(2000.\) \(\mathrm{MPa}\)	\(500.\) \(\mathrm{MPa}\)
\({\mathrm{G1}}_{0}(T)\)	\(45.\)	\(75.\)
\({\mathrm{G2}}_{0}(T)\)	\(45.\)	\(75.\)
\(K\)	\(1.\)	\(1.\)
\(W\)	\(0.\)	\(0.\)
\({A}_{I}\)	\(1.\)	\(1.\)
\(N\)	\(24.\)	\(16.\)
\(1/K\)	\(1/100.\) \({\mathrm{MPa}}^{\text{-1}}\)	\(1/150.\) \({\mathrm{MPa}}^{\text{-1}}\)
\(1/M\)	\(0.\)	\(0.\)

13.2. Tested sizes and results

Result at order number \(i\)	Name of the tested parameter	Name of the tested parameter	Reference value	tolerance
RESU_9	VMIS	AUTRE_ASTER	174.5461	0.10%
RESU_9	TRACE	AUTRE_ASTER		-174.5470	0.10%
RESU_9	V1	AUTRE_ASTER	8.2545E-03	0.10%