Differences

This shows you the differences between two versions of the page.

--- doc:user:elements:volumes:thixo_scheilliquidfractionmatlaw [2013/07/11 15:15] – created joris
+++ doc:user:elements:volumes:thixo_scheilliquidfractionmatlaw [2016/03/30 15:23] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
+====== Liquid fraction ======
+The class ''LiquidFractionMatLaw'' manages all liquid fraction evolution laws, specific to thixotropic materials. These laws are described below.
+:!: Careful: Only works if used with thixotropic materials (''ThixoEvpIsoHHypoMaterial'' or  ''ThixoTmEvpIsoHHypoMaterial'').
+===== ScheilLiquidFractionMatLaw =====
+=== Description ===
+Scheil law.
+$$
+f_l = \left( \frac{T-T_s}{T_l-T_s} \right) ^{\frac{1}{r-1}}
+$$
+=== Parameters ===
+^   Name  ^     Metafor Code  ^  Dependency ^
+|     Solidus  $T_l$                             |  ''FL_TS''     |      ''TM/TO''     |
+|     Liquidus  $T_l$                            |  ''FL_TL''     |      ''TM/TO''     |
+|     Equilibrium partition ratio  $r$   |  ''FL_EXP''    |      ''TM/TO''     |
+===== LashkariEffectiveLiquidFractionMatLaw =====
+=== Description ===
+Computes the **effective liquid fraction**  $f_l^{eff}$ , excluding liquid entrapped inside solid grains, which does not contribute to the flow. Liquid fraction  $f_l$  is computed with Scheil law. Some liquid is released when bonds are broken, so  $f_l^{eff}$  depends on the cohesion degree  $\lambda$ .
+$$
+f_l^{eff} = f_l [1-\lambda(1-f_l)]
+$$