Fibre Volume Fraction and Laminate Thickness . How much fibre…?. How much reinforcement?. Weight fraction Used in manufacture. May refer to fibre or resin - 'GRP' manufacturers will specify a glass content of (e.g.) 25 wt%; a prepreg supplier might give a resin content of 34 wt%.
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Used in manufacture.
May refer to fibre or resin - 'GRP' manufacturers will specify a glass content of (e.g.) 25 wt%; a prepreg supplier might give a resin content of 34 wt%.
Used in design to calculate composite properties. Almost always refers to fibre content.
For the special case of a two-component composite (eg fibre and matrix):
Theoretically, a unidirectional fibre composite could have Vf≈ 90%. In practice, fibres cannot be perfectly aligned.
Maximum volume fraction depends both on the fibre form and method of manufacture - for a unidirectional fibre composite: Vf≈ 60-70%.
For other forms of reinforcement, maximum volume fraction also depends on the detailed arrangement of the fibres.
The following values are typical:
stitched ‘non-crimp’ 0.6
woven fabric 0.4 - 0.55 random (chopped strand mat) 0.15 - 0.25
Commercial reinforcements are characterised by their areal weight (Aw). This is simply the weight (usually given in g) of 1 m2 of the reinforcement. Aw depends on many factors - fibre density, tow or bundle size, weave style, etc.
Aw may range from 50 g/m2 or less (for lightweight surfacing tissues), up to more than 2000 g/m2 for some heavyweight non-crimp fabrics.
Two laminates, both containing 5 plies of reinforcement:
high matrix content
low fibre content
= thick laminate
low matrix content
high fibre content
= thin laminate
Fibre volume fraction is thus inversely proportional to laminate thickness.
If the fibre content and laminate thickness are defined, we can calculate the fibre volume fraction:
If the fibre content and volume fraction are defined, we can calculate the laminate thickness:
Example calculations1. What will be the thickness of a laminate consisting of 2 layers of 450 g/m2 chopped strand mat if a resin to glass ratio (by weight) of 2:1 is used?2. What fibre volume fraction is achieved if 3 layers of 800 g/m2 glass woven roving are compression-moulded to a thickness of 2 mm?
They may be based on a number of simplifying assumptions, and their use in design should tempered with extreme caution!
For the special case of a fibre-reinforced matrix:
since Vf + Vm = 1
E1 = Ef Vf + Em ( 1-Vf )
Note the similarity to the rules of mixture expression for density.
In polymer composites, Ef >> Em, so
E1 Ef Vf
E = hL ho Ef Vf + Em (1-Vf )
hL is a length correction factor. Typically, hL 1 for fibres longer than about 10 mm.
ho corrects for non-unidirectional reinforcement: