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

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter11: Fracture And Fatigue
Section: Chapter Questions
Problem 11.11P
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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).
Transcribed Image Text: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).
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