15. M modeling#

15.1. Characteristics of modeling#

The temperature here varies from \({T}_{0}=51.7°C\) to \({T}_{\mathrm{max}}=101.7°C\). The law of behavior tested is” ELAS “. This elastic law is associated with a transverse isotropic material. The elastic parameters are as follows:

\({E}_{L}(T)\), \({E}_{N}(T)\), \({\nu }_{\text{LN}}(T)\), \({\nu }_{\text{LT}}(T)\), \({G}_{\text{LN}}(T)\),, \({\alpha }_{L}(T)\), and \({\alpha }_{N}(T)\)

Values of the parameters used:

Settings

\(T=51.7°C\)

\(T=76.7°C\)

\(T=101.7°C\)

\({E}_{L}(T)\)

\(1.0\) \(\mathrm{MPa}\)

\(1.1\) \(\mathrm{MPa}\)

\(1.2\) \(\mathrm{MPa}\)

\({E}_{N}(T)\)

\(1.0\) \(\mathrm{MPa}\)

\(1.1\) \(\mathrm{MPa}\)

\(1.2\) \(\mathrm{MPa}\)

\({\nu }_{\text{LN}}(T)\)

\(0.0\)

\(0.0\)

\(0.0\)

\({\nu }_{\text{LT}}(T)\)

\(0.0\)

\(0.0\)

\(0.0\)

\({G}_{\text{LN}}(T)\)

\(0.5\) \(\mathrm{MPa}\)

\(0.55\) \(\mathrm{MPa}\)

\(0.6\) \(\mathrm{MPa}\)

\({\alpha }_{L}(T)\)

\(1.\times {10}^{-5}\) \({K}^{-1}\)

\(1.5\times {10}^{-5}\) \({K}^{-1}\)

\(2.\times {10}^{-5}\) \({K}^{-1}\)

\({\alpha }_{N}(T)\)

\(1.\times {10}^{-5}\) \({K}^{-1}\)

\(1.5\times {10}^{-5}\) \({K}^{-1}\)

\(2.\times {10}^{-5}\) \({K}^{-1}\)

15.2. Tested sizes and results#

Result at order number \(i\)

Name of the tested parameter

Name of the tested parameter

Reference type

Tolerance

RESU_4

VMIS

AUTRE_ASTER

1.2E-3

0.10%

RESU_4

TRACE

AUTRE_ASTER

-1.2E-3

0.10%