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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
D 40 and D -40 [55]. I n Fig. 14.11 the dependences of Renyi characteristic di-
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).
 
 
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