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| | '''Fiber volume ratio''' is an important [[mathematics|mathematical]] element in composite [[engineering]]. |
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| | <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: |
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| | : <math>V_f</math> is the [[fiber]] volume [[ratio]] |
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| | and |
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| | : <math>v_f</math> is the volume of fibers |
| | : <math>v_c</math> is the volume of composite |
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| | 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/> |
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| | 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> |
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| | The fiber volume ratio is used to calculate the ''void volume ratio''. |
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| | <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 |
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| | : <math>V_m</math> is the matrix volume ratio |
| | : <math>v_v</math> is the volume of voids |
| | |
| | ==References== |
| | {{reflist}} |
| | |
| | [[Category:Composite materials]] |
Template:Orphan
Fiber volume ratio is an important mathematical element in composite engineering.
[1]
where:
- is the fiber volume ratio
and
- is the volume of fibers
- is the volume of composite
One of the standardized method of determining the fiber volume ratio is the ignition or burnout method,[1] described in ASTM specification D2584-02. The described method can be applied to composites containing inorganic fibers in an organic matrix.[1]
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.[2]
The fiber volume ratio is used to calculate the void volume ratio.
[1]
where:
- is the void volume ratio
and
- is the matrix volume ratio
- is the volume of voids
References
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