The Halpin Tsai relation to Voigt model

[EastWindBreaks]

Homework Statement

Homework Equations

Halpin Tsai equation:[/B]

Voigt model:
P*=VfPf+VmPm

Vf= volume of fiber/ volume of composite
Vm= volume of matrix / volume of composite
ζ= estimated parameter
Pf, Pm= fiber and matrix properties
V_v=1-Vf-Vm

The Attempt at a Solution

Since there is no V_v in the Halpin Tsai's equation, I am confused on how the Voigt Model obtained Vm from Halpin Tsai's equation

 

[Chestermiller]

There is no V_v in the Voigt model either. Maybe you are supposed to assume that the volume of voids is zero?

 

[EastWindBreaks]

There is no V_v in the Voigt model either. Maybe you are supposed to assume that the volume of voids is zero?

I think you are right, Thank you!