Tait Liquid Material

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