1. Reference problem#
1.1. Geometry#
Infinite bar with square cross section:
side \(\mathrm{2L}=\mathrm{0,10}m\)
Point coordinates (in meters):
\(A\) |
|
|
|
||
\(x\) |
0.026 |
0.350 |
0.350 |
0.041 |
0.0 |
\(y\) |
0.026 |
0.350 |
0.350 |
0.041 |
0.0 |
1.2. Material properties#
(\(\mathrm{16MND5}\) steel)
\(\rho {C}_{P}=5260000{\mathrm{J.m}}^{-3}\mathrm{.}°{C}^{–1}\)
\(\lambda =33.5{\mathrm{W.m}}^{-1}\mathrm{.}°{C}^{-1}\)
Coefficient for metallurgy:
TRC « standard »
\(\mathrm{AR3}=830°C\), \(\mathrm{alpha}=-0.0306\)
\(\mathrm{MS0}=400°C\), \(\mathrm{AC1}=724°C\), \(\mathrm{AC3}=846°C\)
\({\tau }_{1}=0.034\), \({\tau }_{3}=0.034\)
Microhardness of the various metallurgical phases:
for \(d\mathrm{=}200.\mathit{HV}\) ferrite
for perlite \(d\mathrm{=}200.\mathit{HV}\)
for bainite \(d\mathrm{=}300.\mathit{HV}\)
for martensite \(d=400.\mathrm{HV}\)
for austenite \(d=100.\mathrm{HV}\)
1.3. Boundary conditions and loads#
\({T}_{\infty }=15°C\)
\(h=1675{\mathrm{W.m}}^{-2}\mathrm{.}°{C}^{–1}\)
1.4. Initial conditions#
\(T(x,y\mathrm{,0})=700°\mathrm{C.}\)
\(\mathrm{Zf}(x,y\mathrm{,0})=0.7\)
\(\mathrm{Zb}(x,y\mathrm{,0})=0.3\)