Chemistry Reference
In-Depth Information
from part I to part II corresponds to polypiromellithimide structure phase
change with axial crystalline structure formation [71], then for the adduced
in Fig. 4.17 similar dependences for PC this transition corresponds to defor-
mation type change from elastic to inelastic one (proportionality limit [72]).
The dependences (
d
s/
d
e)(e) community deserves more intent consideration
that was fulfilled by the authors of Ref. [73] within the frameworks of fractal
analysis.
FIGURE 4.17
The dependences of modulus
d
s/
d
e, determined according to the slope of
tangents to diagram s - e, on strain e in double logarithmic coordinates for PC at
T
= 293 (1),
343 (2) and 373 K (3) [73].
In Fig. 1.2, the dependence of physical fractal density r on measurement
scale L in double logarithmic coordinates was shown. For
L
<
L
min
and
L
>
L
max
Euclidean behavior is observed and within the range of
L
=
L
min
รท
L
max
- fractal one [40]. Let us pay attention to the complete analogy of the plots
of Figs. 1.2 and 4.17.
There is one more theoretical model allowing nonstandard treatment of
the shown in Fig. 4.17 dependences
d
s/
d
e(e). Kopelman was offered the
fractal descriptions of chemical reactions kinetics, using the following sim-
ple relationship [74]:
-
h
k
~
t
,
(4.37)
