Chemistry Reference
In-Depth Information
s
t==
(14.20)
Y
mY
3
The number of characteristic points are existed for a multifractal dia-
gram. So, at
q
= ∞ (
q
= 40) [34]:
ln
ln
p
D
=
1
40
l
(14.21)
1
and at
q
= - ∞ (
q
= - 40) [34]:
ln
ln
p
D
=
2
.
(14.22)
-
40
l
2
FIGURE 14.10
The dependence of fracture stress sf
f
on extrusion draw ratio l for componor
UHMPE-Al [56].
The Eqs. (14.21) and (14.22) together with estimated by considered
above method parameters
p
1
,
l
1
,
p
2
and
l
2
allow to calculate the dimensions
mensions
D
-40
and
D
40
on extrusion draw ratio l for componors UHMPE-
Al and UHMPE-bauxite. As one can see, at the definite values l (l
cr
) the
componors structure transition from multifractal (canonical spectrum,
D
q
grows at
q
increase [59]) to regular fractal (
D-
40
=
D
40
) occurs and then at
l > l
cr
- again to multifractal (pseudospectrum,
D
q
decreases at
q
growth).