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 ā 90vol% wc composite.
To determine the upper bond Ec(u) = EmVm + EpVp Em is the elastic modulus of cobalt. Eā 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
