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27 January, 21:19

A composite material is to be designed with epoxy (Em 3.5 GPa) and unidirectional fibers. The longitudinal elastic modulus of the designed composite material is to be at least E 320 GPa. If the fiber volume fraction is 70%, calculate the minimum elastic modulus requirement of the fiber material.

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  1. 27 January, 23:28
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    Minimum elastic modulus of fiber = 455.64 GPa

    Explanation:

    Contents of composite material = Epoxy and Unidirectional fibers

    Elastic modulus of epoxy = 3.5 GPa

    Elastic modulus of composite material = 320 GPa

    Volume fraction of fiber = 70 %

    Volume fraction of epoxy = 100 - 70 = 30%

    Elastic modulus of composite material = 3.5 x 0.3 + Elastic modulus of fiber x 0.7 = 320

    0.7 x Elastic modulus of fiber = 320 - 1.05 = 318.95

    Elastic modulus of fiber = 455.64 GPa

    Minimum elastic modulus of fiber = 455.64 GPa
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