16. N modeling#

16.1. Characteristics of modeling#

The law of behavior tested is” ROUSS_PR “. It is an elastoplastic law modeling damage due to the growth of cavities, used in modeling the ductile failure of metals. The temperature here varies from \({T}_{0}=20°C\) to \({T}_{\mathrm{max}}=800°C\)

Values of the parameters used:

Settings

\(T=20°C\)

\(T=800°C\)

\(E(T)\)

\(2.1E5\) \(\mathrm{MPa}\)

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

\(\nu (T)\)

\(0.\)

\(0.\)

\(\alpha (T)\)

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

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

\(D(T)\)

\(\mathrm{1,5}\)

\(\mathrm{1,5}\)

\(\mathrm{BETA}\)

\(1\)

\(1\)

\(\text{PORO\_INIT}\)

\({5.10}^{\text{-4}}\)

\({5.10}^{\text{-4}}\)

\(\text{S\_1}(T)\)

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

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

Traction curves

\(\varepsilon ;\sigma (\mathrm{MPa})\)

\(\varepsilon ;\sigma (\mathrm{MPa})\)

First point

\(\frac{800}{2.1{10}^{5}};800.0\)

\(\frac{600}{1.0{10}^{5}};600.0\)

Second point

\(\mathrm{1,005};\mathrm{1600,}\)

\(\mathrm{1,005};\mathrm{1200,}\)

16.2. Tested sizes and results#

Result at order number \(i\)

Name of the tested parameter

Name of the tested parameter

Reference type

Tolerance

RESU_29 (t=1, T=800°C)

VMIS

AUTRE_ASTER

\(605.5\)

0.10%

RESU_29 (t=1, T=800°C)

TRACE

AUTRE_ASTER

\(-605.5\)

0.10%

RESU_29 (t=1, T=800°C)

V1

AUTRE_ASTER

\(9.546E-03\)

0.10%

RESU_29 (t=1, T=800°C)

V2

AUTRE_ASTER

\(5.046E-04\)

0.10%