6. D modeling#

6.1. Behavioral law and material parameters#

The law of behavior tested is” BETON_DOUBLE_DP “, it is documented in doc R7.01.03. This law is used to describe the nonlinear behavior of concrete. It includes a Drücker Prager criterion in tension and a Drücker Prager criterion in compression, decoupled. Both criteria can have softening work hardening.

The elastic parameters are as follows:

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

The elasto-plastic parameters are as follows:

\(f\text{'}c(T)\), \(f\text{'}t(T)\), \(\beta (T)\), \({G}_{C}(T)\),, \({G}_{T}(T)\), and \(\phi\)

Values of the parameters used

Settings

\(T\mathrm{=}0°C\)

\(T=20°C\)

\(T=400°C\)

\(T=800°C\)

\(E(T)\)

\(\mathrm{37000.MPa}\)

\(32000.\mathit{MPa}\)

\(15000.\mathrm{MPa}\)

\(5000.\mathrm{MPa}\)

\(\nu (T)\)

\(0.\)

\(0.\)

\(\alpha (T)\)

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

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

\(f\text{'}c(T)\)

\(40.\)

\(40.\)

\(15.\)

\(f\text{'}t(T)\)

\(4.\)

\(4.\)

\(1.5\)

\(\beta (T)\)

\(1.16\)

\(1.16\)

\({G}_{C}(T)\)

\(10.\)

\(10.\)

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

\(0.1\)

\(0.1\)

\(\phi\)

\(33.3333\)

\(33.3333\)

\(33.3333\)

\(33.3333\)

6.2. Results#

Result at order number \(i\)

Name of the tested parameter

Name of the tested parameter

Reference type

Tolerance

RESU_19

VMIS (MPa)

AUTRE_ASTER

33.602

0.10%

RESU_19

TRACE (MPa)

AUTRE_ASTER

-33.602

0.10%

RESU_19

V1

AUTRE_ASTER

6.9118E-03

0.10%

RESU_19

V3

AUTRE_ASTER

0.10%

RESU_19

V4

AUTRE_ASTER

1

0.10%