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THSOL2
This law does not seem to exist in Lagamine anymore.
LTSOL2.F does not exist in Prepro
Description
Thermal conduction constitutive law for solidification problem
The model
Non-linear thermal analysis of isotropic solids. This constitutive law takes account of heat transfer by conduction, heat accumulation and latent heat production during liquid to solid transformation
Files
Prepro: LTSOL2.F
Availability
| Plane stress state | YES |
| Plane strain state | YES |
| Axisymmetric state | YES |
| 3D state | NO |
| Generalized plane state | NO |
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 290 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing. |
Integer parameters
| Line 1 (4I5) | |
|---|---|
| NT1 | number of temperatures used to describe the SOLIDUS and LIQUIDUS line |
| NT2 | number of temperatures at which $\lambda$, $\rho$, C and L are given |
| NT3 | number of intermediate temperature for the curves between $T_S$ and $T_L$ |
| IENTH | 1 enthalpic formulation (always this choice for the continuous casting of steel) 0 no enthalpic formulation |
Real parameters
| Line 1 (G10.0) | |
|---|---|
| CPER | percentage of carbon in the steel |
| Repeat NT1 times (3G10.0) | |
| T | temperature |
| SPER | percentage of carbon of the solids line at temperature T |
| LPER | percentage of carbon of the liquids line at temperature T |
Remark:
the first temperature = temperature at which liquid fraction appears (TS)
the last temperature = temperature at which no more fraction of solid exists (TL)
| Repeat NT2 times (5G10.0) | |
|---|---|
| T | temperature |
| ALAMB | heat conductivity at temperature |
| RHO | mass density |
| CP | heat capacity |
| ENT | latent heat transformation |
Remark:
the temperatures TS and TL must be in the list
if IENTH = 1, enthalpy is computed from $\int_{T_l}^{T} {(RHO*CP) dT}$
Number of stresses
4 for 3D state
Meaning
| SIG(1) | conductive flux in direction X |
| SIG(2) | conductive flux in direction Y |
| SIG(3) | capacitive flux |
| SIG(4) | transformation flux |
State variables
Number of state variables
6
List of state variables
| Q(1) | conductive coefficient |
| Q(2) | capacity coefficient = $\rho$C |
| Q(3) | fraction of liquid in mass |
| Q(4) | p mass density |
| Q(5) | enthalpy |
| Q(6) | $\Delta$ T due to $\sigma \dot{\varepsilon}^{p}$ |
COMPUTED BY THE LAGAPRE FOR THE FIRST STEP
Remark: in practice MESO2 and THSOL2 are always used together and the total number of state variables is 9, the order is first mechanical variables than thermal ones.
