density of composite materials calculation

Measurement of density

Twelve
numbers of samples have been prepared for measurement of density. The
parameters required to measure the density parameters are diameter (d) and
length (l) that have been measured three times in each of the twelve samples by
digital Vernier caliper. Mean diameter (Dm) and mean length Lm
of each sample are measured in order to obtain more accurate data. The volume of each sample is also calculated
from mean diameter (Dm) and mean length (Lm). Composite
samples are weighted by digital weighing machine and mean mass (Mm)
is calculated by mass (m). Value has been taken for three times for each sample
of twelve different composites. Densities
(β) of each sample under individual composite have been calculated by volume
(V) and mean mass (Mm) of every sample.Formulae that have been used in this
present investigation are given below:

Dm = (d1+d2+d3)/3
(mm)

Lm = (l1+l2+l3)/3 (mm)

V = [л/4dm2X lm] (mm3)

Mm = [m1+m2+m3]/3
gm

Density
of sample β = Mm/V gm/mm3

The
green density and sintered densities have been measured by using the above
formulae and discussed in this section. The theoretical density of the samples
was calculated. The theoretical density (ρth) of graphite /Al composite was determined
by using the following equation:





















MGr =Mass fraction of the graphite

 MAl= Mass fraction of aluminum

 ΡGr=Density of graphite (≈ 2.07 g/cm3)

 ΡAl=Density of aluminum(≈2.7 g/cm3)

 Measurement of
green density

Diameter
and length of each sample after compaction is calculated with the help of
digital Vernier caliper. Volume of each sample
are calculated and the data are given in Table
6.1. Green density of each sample is calculated with the help of mass and
volume of the sample after compaction and the data are presented in Table 6.2.
Compaction pressure vs green density is plotted in Figure 6.1. Figure 6.1 shows
that green density increases with increasing compaction pressure.

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