14. L modeling#

14.1. Characteristics of modeling#

The law of behavior tested is” VISC_CIN2_MEMO “[R5.03.04]. It is a Chaboche law comprising two variables for non-linear kinematic work hardening and modeling the memory effect. (see modeling \(I\), with the addition of viscosity parameters: \(N\), \(1/K(T)\) and \(1/M(T)\).

Settings

\(T=20°C\)

\(T=500°C\)

\(E(T)\)

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

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

\(\nu (T)\)

\(0.\)

\(0.\)

\(\alpha (T)\)

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

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

\({R}_{I}(T)\)

\(300.\) \(\mathrm{MPa}\)

\(150.\) \(\mathrm{MPa}\)

\({R}_{0}(T)\)

\(100.\) \(\mathrm{MPa}\)

\(50.\) \(\mathrm{MPa}\)

\(B(T)\)

\(12.\)

\(5.\)

\({\mathrm{C1}}_{I}(T)\)

\(2000.\) \(\mathrm{MPa}\)

\(500.\) \(\mathrm{MPa}\)

\({\mathrm{C2}}_{I}(T)\)

\(2000.\) \(\mathrm{MPa}\)

\(500.\) \(\mathrm{MPa}\)

\({\mathrm{G1}}_{0}(T)\)

\(45.\)

\(75.\)

\({\mathrm{G2}}_{0}(T)\)

\(45.\)

\(75.\)

\(K\)

\(1.\)

\(1.\)

\(W\)

\(0.\)

\(0.\)

\({A}_{I}\)

\(1.\)

\(1.\)

\(\mathrm{MU}(T)\)

\(17.\)

\(19.\)

\(Q\text{\_}M(T)\)

\(340.\) \(\mathrm{MPa}\)

\(460.\) \(\mathrm{MPa}\)

\(Q\text{\_}0(T)\)

\(140.\) \(\mathrm{MPa}\)

\(100.\) \(\mathrm{MPa}\)

\(\mathrm{ETA}\)

\(0.5\)

\(0.5\)

\(N\)

\(24.\)

\(16.\)

\(1/K\)

\(1/100.\) \({\mathrm{MPa}}^{\text{-1}}\)

\(1/150.\) \({\mathrm{MPa}}^{\text{-1}}\)

\(1/M\)

\(0.\)

\(0.\)

14.2. 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

AUTRE_ASTER

178.3386

0.10%

RESU_9

TRACE

AUTRE_ASTER

-178.3386

0.10%

RESU_9

V1

AUTRE_ASTER

8.2166E-03

0.10%