as there is formula to calculate the Volume fraction of the reinforcement as given in the attached journal page no:3. Now how to calculate Volume fraction of matrix when the composite have multiple reinforcements.
Dear Dhanashekar,
It can be easily estimated using the same furmula
Vm = [(Mm/ρm) / (Mm/ρm + Mr1/ρr1 + Mr2/ρr2 + Mr3/ρr3 + ... )] * 100
where Vm is the volume fraction of the matrix, M is the mass, ρ is the density, and subscripts m and r refer to the matrix and the reinforcements, respectively.
Dear Dhanashekar,
you can calculete the Volume fraction according to ASTM D2584.
see the attached file.
good reception
Hi Manickam
If u had the composite material with a minimum required thickness, by the swelling experiment u could able to calculate the volume fraction of matrix. The composite has both matrix and reinforcement, of both we can assign the volume fraction using Flory-Rehner equation, just by rearranging the parameters.
Just google on Flory-Rehner equation regarding your composite.
All the best
You may look into the following reference:
Pandya, K.S., Ch. Veeraraju and N.K. Naik. 2011. Hybrid composites made of carbon and glass woven fabrics under quasi-static loading, Materials and Design, 32: 4094-4099.
Those interested at the topic of this query may also want to check the following related RG discussion: https://www.researchgate.net/post/How_might_I_determine_glass_fiber_content_in_composite
Dear Dhansekar,
It can be estimated direct using the same formula
Vm = [(Mm/ρm) / (Mm/ρm + Mr1/ρr1 + Mr3/ρr3 + ... )] * 100
where Vm is the volume fraction of the mat+ Mr2/ρr2 rix, M is the mass, ρ is the density, and subscripts m and r refer to the matrix and the reinforcements, respectively.
Ashish
Dear Dhanashekar Manickam,
Fiber volume ratio, or fiber volume fraction, is the percentage of fiber volume in the entire volume of a fiber-reinforced composite material. When manufacturing polymer composites, fibers are impregnated with resin. A higher fiber volume fraction typically results in better mechanical properties of the composite.
It can be calculated as:
σf= Ff/△f =Ff/ Vf Ai
Vf= Ff/ σf . Ai
Hope content is helpful for you.
Ashish
Dear Dhanashekar Manickam,
Fiber volume ratio, or fiber volume fraction, is the percentage of fiber volume in the entire volume of a fiber-reinforced composite material. When manufacturing polymer composites, fibers are impregnated with resin. A higher fiber volume fraction typically results in better mechanical properties of the composite.
General calculation
It can be calculated as:
σf= Ff/△f =Ff/ Vf Ai
Vf= Ff/ σf . Ai
For hybrid composites,
It can be estimated direct using the same formula
Vm = [(Mm/ρm) / (Mm/ρm + Mr1/ρr1 + Mr3/ρr3 + ... )] * 100
where Vm is the volume fraction of the mat+ Mr2/ρr2 rix, M is the mass, ρ is the density, and subscripts m and r refer to the matrix and the reinforcements, respectively.
Hope content is helpful for you.
Ashish
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