Difference between revisions of "Tait Liquid Material"
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<math>V(P,T) = V(0,T)\left[1 - C \ln\left(1+{P\over B(T)}\right)\right]</math> | <math>V(P,T) = V(0,T)\left[1 - C \ln\left(1+{P\over B(T)}\right)\right]</math> | ||
where C = 0.0894 is a universal Tait constant, V(0,T) is the temperature dependence of the volume at zero pressure, and | |||
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<math>B(T) = { K(0,T)/over C }</math> | |||
where K(0,T) is the temperature dependence of the bulk modulus at zero pressure. | |||
== Material Properties == | == Material Properties == | ||
Revision as of 16:47, 30 December 2013
Constitutive Law
This MPM material as a hyperelastic material. The pressure in the liquid is found from the Tait equation:
[math]\displaystyle{ V(P,T) = V(0,T)\left[1 - C \ln\left(1+{P\over B(T)}\right)\right] }[/math]
where C = 0.0894 is a universal Tait constant, V(0,T) is the temperature dependence of the volume at zero pressure, and
[math]\displaystyle{ B(T) = { K(0,T)/over C } }[/math]
where K(0,T) is the temperature dependence of the bulk modulus at zero pressure.
Material Properties
| Property | Description | Units | Default |
|---|
History Variables
None