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'''Fiber volume ratio''' is an important [[mathematics|mathematical]] element in composite [[engineering]].


<math> V_f = \frac{v_f}{v_c}\! </math>  <ref name=isaac>Isaac M Daniel, Ori Ishai. (2006).''Engineering Mechanics of Composite Materials''. 2nd ed. [[Oxford University Press]]. ISBN 978-0-19-532244-6</ref>
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where:
 
: <math>V_f</math> is the [[fiber]] volume [[ratio]]
 
and
 
: <math>v_f</math> is the volume of fibers
: <math>v_c</math> is the volume of composite
 
One of the standardized method of determining the fiber volume ratio is the ignition or burnout method,<ref name=isaac/> described in ASTM specification D2584-02. The described method can be applied to composites containing inorganic fibers in an organic matrix.<ref name=isaac/>
 
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.<ref>(2004). ''Space Simulation; Aerospace and Aircraft; Composite Materials'' in ''Annual book of ASTM Standards''. Vol 15.03. [[American Society for Testing and Materials]]. [[West Conshohocken]]. PA.</ref>
 
The fiber volume ratio is used to calculate the ''void volume ratio''.
 
<math> V_v = 1 - V_f - V_m = \frac {v_v}{v_c} \!</math>  <ref name=isaac/>
 
where:
 
: <math>V_v</math> is the void volume ratio
 
and
 
: <math>V_m</math> is the matrix volume ratio
: <math>v_v</math> is the volume of voids
 
==References==
{{reflist}}
 
[[Category:Composite materials]]

Latest revision as of 07:32, 22 September 2014


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