Chemistry Reference
In-Depth Information
tallinity degree of samples, but with that its part, which is due to orienta-
tional crystallization.
FIGURE 14.14
The dependence of voids relative fraction
C
v
on crystallinity degree K for
componors UHMPE-Al(1) and UHMPE-bauxite (2) [56].
As it has been noted in Ref. [60], the generalized Renyi dimension
D
−∞
(or
D
−40
) characterizes the most concentrated system set. In Ref. [55] it has
been shown, that for amorphous polymer matrix the cluster are such set and
the linear correlation
D
−40
(j
cl
) was obtained. It is obvious that for the consid-
ered componors with polymer semicrystalline matrix the crystalline regions
will be the most concentrated set that assumes a definite correlation between
D-
40
and
K
. Actually, such correlation exists, as it follows from the data of
Fig. 14.15
a
nd it is described by the simple analytical relationship [56]:
D-
40
= 1.52 K.
(14.25)
Hence, the cited above results shown correctness and expediency of
multifractal formalism in it's the simplest variant for analysis of structure
changes at polymerization-filled compositions on the basis of UHMPE dur-
ing solid-phase extrusion. The observed experimentally during extrusion
process effects were received the quantitative description within the frame-
works of this formalism. Let us note purely geometrical character of main
multifractal characteristics calculation, independent on polymer matrix and
filler properties [56].
