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doc:user:elements:volumes:thixo_scheilliquidfractionmatlaw

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doc:user:elements:volumes:thixo_scheilliquidfractionmatlaw [2013/07/11 15:15] – created jorisdoc:user:elements:volumes:thixo_scheilliquidfractionmatlaw [2016/03/30 15:23] (current) – external edit 127.0.0.1
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 +====== 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 $.
 +
 +$$
 +f_l^{eff} = f_l [1-\lambda(1-f_l)]
 +$$
 +
 +
 +
 +
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