Normally weight fractions of components are specified (weighing the respective powder at mixing). But if you have an unknown piece of ceramic, you have to determine the volume fractions of the components in a cross section (microscopy image editing with special computer program). If the densities of the components are known, you can calculate the mass fractions from volume fractions.
In addition to this, you need another equation to find W1 and W2.
Are W1 and W2 fiber and matrix weight fractions? If it is so, you can use: W1+W2=1.
Best Regards
dude u may use the law of mixture if you know the density values for matrix and fibre.
Those interested at this discussion may possibly want to check the following RG discussions: https://www.researchgate.net/post/I_have_a_composite_materials_with_the_composition_of_AxByCz_How_can_I_calculate_density_of_the_composite https://www.researchgate.net/post/composites_may_consists_of_three_different_constituent_like_Epoxy_carbon_and_glass_fiberhow_i_can_calculate_volume_and_mas_fraction_from_density https://www.researchgate.net/post/How_might_I_determine_glass_fiber_content_in_composite
https://www.researchgate.net/post/Related_to_porosity_and_density
Here is the formula for density calculation for a mixture. Formula derived by the weight fraction of the components.
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