Chemistry Reference
In-Depth Information
The authors of Ref. [44] considered three main cases of the dependence
of reinforcement degree
E
c
/
E
m
on j
f
. In this work the authors have shown,
that there are the following main types of the dependences
E
c
/
E
m
(j
f
) exist:
(1) the ideal adhesion between filler and polymer matrix, described by
Kerner equation (perfect adhesion), which can be approximated by
the following relationship:
E
E
c
2
3
=+
1
11, 64
φ
- +
;
44, 4
φ
96, 3
φ
(15.15)
f
f
f
m
(2) zero adhesional strength at a large friction coefficient between filler
and polymer matrix, which is described by the equation:
E
E
c
=+
;
1
φ
(15.16)
f
m
(3) the complete absence of interaction and ideal slippage between filler
and polymer matrix, when composite elasticity modulus is defined
practically by polymer cross-section and connected with the filling
degree by the equation:
E
E
2/3
c
=-
.
1
φ
(15.17)
f
m
to the Eqs. (15.15) ÷ (15.17), as well as experimental data (points) for PC
are shown. As it follows from the adduced in Fig. 15.14 comparison at
T
=
293÷363 K the experimental data correspond well to the Eq. (15.16), that is,
in this case zero adhesional strength at a large friction coefficient is observed.
At
T
= 373÷413 K the experimental data correspond to the Eq. (15.15), that
is, the perfect adhesion between nanoclusters and loosely packed matrix is
observed. Thus, the adduced in Fig. 15.14 data demonstrated, that depend-
ing on testing temperature two types of interactions nanoclusters - loosely
packed matrix are observed: either perfect adhesion or large friction between
them. For quantitative estimation of these interactions it is necessary to de-
termine their level, which can be made with the help of the parameter
b
m
,
which is determined according to the equation [45]:
c
m
ss φ
=
Kb
-
,
(15.18)
f
f
s
mf
