Unidirectional and continuous carbon fibers with a diameter of 6.5 micron are embedded within an epoxy that offers a yield point of 73 MPa. If the bond strength across the fiber-epoxy interface is 32 MPa, compute the minimum fiber length to guarantee that the fibers are conveying an optimum fraction of force that is applied to the composite. Answer Format: X.XX Unit: mm

Respuesta :

Answer:

L=0.0074 mm

Explanation:

Given that

d= 6.5 micron meter

d= 6.5 x 10⁻³ mm

Yield strength ,Sy = 73 MPa

Bond strength ,σ = 32 MPa

The fiber length given as

[tex]L=\dfrac{S_y \times d}{2 \times \sigma }[/tex]

By putting the values

[tex]L=\dfrac{S_y \times d}{2 \times \sigma }[/tex]

[tex]L=\dfrac{73 \times 6.5\times 10^{-3}}{2\times 32 }\ mm[/tex]

L=0.0074 mm

Therefore the minimum fiber length is 0.0074 mm.

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