Sidebar
Table of Contents
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.
