The Halpin Tsai relation to Voigt model

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SUMMARY

The discussion centers on the relationship between the Halpin Tsai equation and the Voigt model in composite material analysis. The Halpin Tsai equation does not include the volume of voids (V_v), which leads to confusion when attempting to derive the matrix volume (Vm) from the Voigt model. Participants agree that assuming a zero volume of voids simplifies the analysis, allowing for a clearer understanding of the fiber (Pf) and matrix (Pm) properties in the context of composite materials.

PREREQUISITES
  • Understanding of composite material properties
  • Familiarity with the Halpin Tsai equation
  • Knowledge of the Voigt model for composite analysis
  • Basic principles of volume fractions in composites
NEXT STEPS
  • Study the derivation of the Halpin Tsai equation in detail
  • Explore the implications of assuming zero volume of voids in composite models
  • Learn about the Reuss model as a comparison to the Voigt model
  • Investigate practical applications of the Halpin Tsai equation in material science
USEFUL FOR

Material scientists, engineers working with composite materials, and students studying composite mechanics will benefit from this discussion.

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Homework Statement



upload_2018-9-17_2-44-20.png

Homework Equations


Halpin Tsai equation:[/B]
upload_2018-9-17_2-44-55.png

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
 

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

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