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It is necessary to fabricate an aligned and discontinuous carbon fibre-epoxy matrix composite having a longitudinal tensile strength of 1900 MPa using 0.45 volume fraction of fibres. Compute the required fibre fracture strength assuming that the average fibre diameter and length are 8 10-3 mm and 3.5 mm, respectively. The fibre-matrix bond strength is 40 MPa, and the matrix stress at fibre failure is 12 MPa. Note that reasonable fibre fracture strength should normally be in the range of ~1.4 GPa – 20 GPa. (Hint: use equations 16.3 for critical fibre length and 16.18 for discontinuous and aligned fibre composites). (20%)
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