Question

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

Answer 1

L=0.0074 mm

Step-by-step 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

`L=(S_y * d)/(2 * \sigma )`

By putting the values

`L=(S_y * d)/(2 * \sigma )`

`L=(73 * 6.5* 10^(-3))/(2* 32 )\ mm`

L=0.0074 mm

Therefore the minimum fiber length is 0.0074 mm.