====== THSOL2 ======
DELETEME 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 [[laws:meso2|MESO2]] and [[laws:thsol2|THSOL2]] are always used together and the total number of state variables is 9, the order is first mechanical variables than thermal ones.