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.

Question

Chemistry

Aracely Daugherty

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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Kaleb · Answer 1

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