Gyrokinetics

Fiber volume ratio is an important mathematical element in composite engineering.

$V_f=\frac{v_f}{v_c}$

where:

$V_f$ is the fiber volume ratio

and

$v_f$ is the volume of fibers

$v_c$ is the volume of composite

One of the standardized method of determining the fiber volume ratio is the ignition or burnout method, described in ASTM specification D2584-02. The described method can be applied to composites containing inorganic fibers in an organic matrix.

Another standardized method is the acid digestion method which is explained in ASTM specification D3171-99. The method attacks the matrix that is acid-soluble but at the same time does not attack the fiber.

The fiber volume ratio is used to calculate the void volume ratio.

$V_v=1-V_f-V_m=\frac{v_v}{v_c}$

where:

$V_v$ is the void volume ratio

and

$V_m$ is the matrix volume ratio

$v_v$ is the volume of voids

References

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