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(
)
s , adduced in Fig. 8.9 insertion, shows, this condi-
tion is also fulfilled. In other words, the Eq. (8.4) gives qualitative correct
description of the dependence s f (a) for the indicated polymer blends [14].
dependence
f
cr
FIGURE 8.9 The dependence of stable crack fractal dimension D cr on PC content C PC for
blends PAASO/PC. In insertion: the dependence
(
)
s
D
for samples with a =1 mm [14].
f
cr
In Ref. [4] it has been shown that D cr increase from 1 up to 2 by its
very nature represents itself the transition from ideally sharp notch ( D cr =
1) to cavity ( D cr = 2), that is, the crack with blunted tip. Thus, the physical
significance of fractal model corresponds completely to the offered in Ref.
[2] treatment, namely, to the mechanism of notch blunting by local plastic
deformation zone.
Let us carry out the quantitative estimations according to the Eq. (8.4)
and compare them to the experimental dependences s f ( a ) by a fitting meth-
od. The comparison of the experimental and theoretical dependences of frac-
ture stress on the notch length (fitting was made by sf f values at a = 1.5 mm
[14]) is adduced in Fig. 8.10 f for PAASO and two blends of PAASO/PC. As
one can see, the Eq. (8.4) describes well the experimental results and the ob-
served discrepancies (particularly at a = 0.5 mm) are due to the two follow-
ing reasons. Firstly, the calculation simplicity was not taken into account, a
 
 
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