Chemistry Reference
In-Depth Information
E
E
0,19
Wl
n
=+
1
n st
,
(15.8)
1/2
D
m
p
where
W
n
is nanofiller mass contents in mas.%,
D
p
is nanofiller particles
diameter in nm.
Let us consider included in the Eqs. (15.7) and (15.8) parameters estima-
tion methods. It is obvious, that in the case of natural nanocomposites one
should accept:
E
n
=
E
p
,
E
m
=
E
l.m.
and j
n
= j
cl
, the value of the latter can be
estimated according to the Eq. (4.66).
FIGURE 15.10
The dependence of elasticity modulus
E
p
on nanoclusters relative fraction
φ
cl
for PC [34].
The mass fraction of nanoclusters
W
cl
can be calculated as follows [37]:
W
cl
= rj
cl
,
(15.9)
where r is nanofiller (nanoclusters) density, which is equal to 1300 kg/m
3
for PC.
The value
E
l.m.
can be determined by the construction of
E
p
(j
cl
) plotting,
which is adduced in Fig. 15.10. As one can see, this plot is approximately
linear and its extrapolation to j
cl
= 0 gives the value
E
l.m.
And at last, as it
follows from the nanoclusters definition (see chapter one) one should accept
D
p
≈
l
st
for them and then the Eq. (15.8) accepts the following look [34]:
In
Fig. 15.11
the comparison of theoretical calculation according to the
Eqs. (15.7) and (15.10) with experimental values of reinforcement degree
