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21 April, 17:38

If the elastic modulus of cobalt (co) is 200 gpa, and the elastic modulus of tungsten carbide (wc) is 700 gpa, calculate the upper and lower bound estimates of the elastic modulus of a 10 vol% co - 90vol% wc composite.

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  1. 21 April, 18:57
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    To determine the upper bond

    Ec (u) = EmVm + EpVp

    Em is the elastic modulus of cobalt.

    E₁ is the elastic modulus of the particulate

    Vm is the volume fraction of cobalt

    Vp is the volume fraction of particulate

    substitute

    Ec (u) = 200 (Vm) + 700 (Vp)

    To determine the lower bound

    Ec (l) = EmEp/VmEp + VpEm

    Substitute

    Ec (l) = 200 (700) / Vm (700) + Vp (200)

    Ec (l) = 1400/7Vm+2Vp
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