How to Calculate Thermal Expansion Coefficient Without Overall Density?

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To determine the thermal expansion coefficient (α) of a composite material when the overall density is unknown, the volume fractions of the individual components (fibers and matrix) are essential. Without these volume fractions, which cannot be calculated without knowing the composite's overall density, it is not possible to apply Turner’s Formula effectively. If the mass fractions of the materials are known, they can be used to derive the composite density and subsequently the volume fractions. Understanding the layout or proportions of the materials in the composite can also provide necessary insights for calculations.
ravenscroft
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I need a question answered. If given the density of 2 materials in a composite, the fibres & the matrix, but not the over all density of the composite, how can one go about finding the thermal expansion coefficient, alpha of the composite? I have Youngs modulus, density of each individual material, & α's of each material. I can use Turners Formula when i have have the volume fraction, but can I get those (the volume fractions) without the overall density of the composite?
Thanks for any help or insight.
 
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ravenscroft said:
I need a question answered. If given the density of 2 materials in a composite, the fibres & the matrix, but not the over all density of the composite, how can one go about finding the thermal expansion coefficient, alpha of the composite? I have Youngs modulus, density of each individual material, & α's of each material. I can use Turners Formula when i have have the volume fraction, but can I get those (the volume fractions) without the overall density of the composite?
Thanks for any help or insight.
You obviously can't do it if you don't know the volume fraction, and, as you said, you can't get that unless you know the density of the composite. By any chance, do you have some idea of the layout of the materials in the cross section, or the proportions of the materials that were combined to make the composite (i.e., the mass fractions of the materials)? If you know the mass fractions, then you know the composite density and the volume fractions.

Chet
 
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