1. Reference problem#

1.1. Geometry#

It is a cube with a side of \({200mm}\).

_images/cubeMesh.png

1.2. Material properties#

The bar is made of steel. Thermal properties (conductivity and enthalpy of the material) vary with temperature.

1.2.1. Parameters for metallurgy#

Diagram TRC is defined in mtlp104a.12.

Tableau 1.1 Caractéristiques métallurgiques#
Parameter	Value
widths: 10	50
AR3	830°C
ALPHA	-0.0247
MS0	450°C
AC1	716.3°C
AC3	802.6°C
TAUX_1	0.034
TAUX_3	0.034

For income:

Tableau 1.2 Caractéristiques métallurgiques pour le revenu#
Parameter	Value
widths: 10	50
TEMP	550°C
TEMP_MAINTIEN	610°C
BAINITE_B	0.064380728515158
BAINITE_N	0.216028726635953
MARTENSITE_B	0.22414091
MARTENSITE_N	0.14349531

And for calculating the hardness:

Tableau 1.3 Caractéristiques pour la dureté#
Parameter	Value
widths: 10	50
F1_ DURT	200.0
F2_ DURT	200.0
F3_ DURT	300.0
F4_ DURT	400.0
F3_ REVENU_DURT	300.0
F4_ REVENU_DURT	400.0
C_ DURT	100.0

1.2.2. Parameters for thermal#

Tableau 1.4 Caractéristiques thermiques (valeur de \(\lambda(T)\))#
Temperature (°C)	Value (\(W {m}^-1 {K^{-1}})\))
widths: 10	50
20.0	\(41.0\)
200.0	\(41.0\)
400.0	\(36.4\)
600.0	\(29.0\)
700.0	\(22.0\)
1300.0	\(25.0\)
1450.0	\(35.0\)
1500.0	\(70.0\)
1600.0	\(70.0\)
1700.0	\(70.0\)
1800.0	\(70.0\)

Tableau 1.5 Caractéristiques thermiques (valeur de \(\rho_{C_p}(T)\))#
Temperature (°C)	Value (\(J {kg}^-1 {K^{-1}})\))
widths: 10	50
20.0	\(3900000.0\)
400.0	\(3900000.0\)
1402.0	\(3900000.0\)

1.3. Boundary conditions and loads#

A constant temperature field is imposed in space (over the whole cube).

Time \((s)\)	Temperature (°C)
widths: 10	50
	20.0
	150.0
	550.0
	700.0

1.4. Initial conditions#

The initial metallurgical state is a proportion of 70% ferrite and 30% bainite.