5. C modeling

5.1. Behavioral law and material parameters

The law of behavior tested is” BETON_UMLV “, it is documented in doc R7.01.16. This law is used to model the natural creep of concrete taking into account the distinction between volume creep and deviatoric creep in order to account for the phenomena in the case of multiaxial creep. The test is carried out using D_ PLAN modeling (mesh QUAD4) with the command STAT_NON_LINE. The elastic parameters are as follows:

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

The parameters of the visco-plastic law are as follows:

\({K}_{R}^{S}\), \({K}_{I}^{S}\), \({K}_{R}^{D}\), \({\eta }_{R}^{S}\), \({\eta }_{I}^{S}\),, \({\eta }_{R}^{D}\), and \({\eta }_{I}^{D}\)

Values of the parameters used:

Settings	\(T\mathrm{=}0°C\)	\(T=500°C\)
\(E(T)\)	\(11000\mathit{MPa}\)	\(31000\mathit{MPa}\)
\(\nu (T)\)	\(0.\)	\(0.\)
\(\alpha (T)\)	\(2.\mathrm{\times }{10}^{5}\)	\(2.\mathrm{\times }{10}^{\mathrm{-}4}{K}^{\mathrm{-}1}\)
\({K}_{R}^{S}\)	\(2.\mathrm{\times }{10}^{5}\mathit{MPa}\)	\(2.\mathrm{\times }{10}^{5}\mathit{MPa}\)
\({K}_{I}^{S}\)	\(5.\mathrm{\times }{10}^{4}\mathit{MPa}\)	\(5.\mathrm{\times }{10}^{4}\mathit{MPa}\)
\({K}_{R}^{D}\)	\(5.\mathrm{\times }{10}^{4}\mathit{MPa}\)	\(5.\mathrm{\times }{10}^{4}\mathit{MPa}\)
\({\eta }_{R}^{S}\)	\(4.\mathrm{\times }{10}^{10}\mathit{MPa.s}\)	\(4.\mathrm{\times }{10}^{10}\mathit{MPa.s}\)
\({\eta }_{I}^{S}\)	\({10}^{11}\mathit{MPa.s}\)	\({10}^{11}\mathit{MPa.s}\)
\({\eta }_{R}^{D}\)	\({10}^{10}\mathit{MPa.s}\)	\({10}^{10}\mathit{MPa.s}\)
\({\eta }_{I}^{D}\)	\({10}^{11}\mathit{MPa.s}\)	\({10}^{11}\mathit{MPa.s}\)

5.2. Results

Result at order number \(i\)	Name of the tested parameter	Name of the tested parameter	Reference type	Tolerance
RESU_19	PRIN_1 (Pa)	AUTRE_ASTER	-3100.	0.10%