A composite has 40 % Vf of a 150 µm diameter fiber. The fiber strength is 2 GPa, the matrix strength is 75 MPa, while the fiber/matrix interfacial strength is 50 MPa. Assuming a linear build up of stress from the two ends of a fiber, estimate the composite strength for (a) 200 mm long fibers and (b) 3 mm long fibers.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A composite has 40 % Vf of a 150 µm diameter fiber. The fiber strength is
2 GPa, the matrix strength is 75 MPa, while the fiber/matrix interfacial
strength is 50 MPa. Assuming a linear build up of stress from the two ends of
a fiber, estimate the composite strength for (a) 200 mm long fibers and (b)
3 mm long fibers.
Transcribed Image Text:A composite has 40 % Vf of a 150 µm diameter fiber. The fiber strength is 2 GPa, the matrix strength is 75 MPa, while the fiber/matrix interfacial strength is 50 MPa. Assuming a linear build up of stress from the two ends of a fiber, estimate the composite strength for (a) 200 mm long fibers and (b) 3 mm long fibers.
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