Question

A composite material of graphite-filled nylon is designed with a mixture of 65% of graphite by volume. Given the densities of the consituent materials below: Material Density (8 cm) Young's modulus, E (pa) Graphite 1.75 224 Nylon 1.36 2.5 a) Calculate the density (Protal of the resultant composite material to two decimal places. Profal = 1.59 8 cm3

Answer 1

Let suffix subscript G denotes property of graphite and N denotes that of Nylon

*************************************************************************************************************

$M_{t} = V_{G}\rho _{G}+V_{N}\rho _{N}$

$\rho _{Total} = 1.61$

*************************************************************************************************************

weight fraction of Nylon = 0.476/1.61 = 29.60 %

*************************************************************************************************************

resultant Youngs modulus can be found out using rules of mixtures

$E_{resultant}=145.6+0.875$

$E_{resultant}=146.48$

*************************************************************************************************************

if you have any doubts feel free to comment. I will reply ASAP