Chemistry Reference
In-Depth Information
FIGURE 15.19
The dependence of parameter
b
m
on nanoclusters surface fractal dimension
d
surf
for PC [50].
It can be supposed with a high probability degree that adhesion level
depends on the structure of nanoclusters surface, coming into contact with
loosely packed matrix, which is characterized by the dimension
d
surf
. In Fig.
15.19, the dependence
b
m
(
d
surf
) for PC is adduced, from which rapid reduction
b
m
(or intercomponent adhesion level enhancement) follows at
d
surf
growth
or, roughly speaking, at nanoclusters surface roughness enhancement.
The authors of Ref. [48] showed that the interfacial adhesion level for
composites polyhydroxyether/graphite was raised at the decrease of polymer
matrix and filler particles surface fractal dimensions difference. The similar
approach was used by the authors of Ref. [50], who calculated nanoclusters
cl
f
d
l.m.
f
d
fractal dimensions difference Δ
d
f
:
and loosely packed matrix
cl
l.m.
dd
-
Δ
d
f
=
,
(15.28)
f
f
d
cl
f
d
cl
f
where
is accepted equal to real solids maximum dimension (
=
d
cl
f
2.95[40]) in virtue of their dense packing and the value
was calculated
according to the mixtures rule (the Eq. (12.6)).
