FRACTAL MECHANICS OF ORIENTED POLYMERS - Fractal Mechanics of Polymers - page 284

of high-elasticity theory the value

li l is determined according to the Eq.
(5.7). According to the data of Ref. [62] the Eq. (5.7) describes well the re-
sults for amorphous glassy polymers. The fractal variant of li l estimation
was given by the Eq. (7.8). In Fig. 14.16 the comparison of experimental
l lim and calculated according to the Eqs. (5.7) and (7.8)

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li l values of draw
ration at fracture for extrudates DF-10. The good conformity between l lim
and

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li l obtained according to the fractal model (the Eq. (7.8)), is observed,
whereas the Eq. (5.7) is given the overstated li l . The indicated discrepancy
cause is that fact that high-elasticity theory is not taken into account chains
mobility “freezing” in glassy state (i.e., it assumes D ch = 2.0). In the more
general terms it can be said, that the high-elasticity theory equations are cor-
rect for a structures with Euclidean geometry, which (or good approxima-
tion to which) are rubbers. At the same time the glassy polymers structure is
fractal object and their properties correct description is possible within the
frameworks of fractal analysis only [8].

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KEYWORDS

• adaptability resource

• dimensions spectrum

• draw ratio

• extrusion

• fractional derivative

• oriented polymer

REFERENCES

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& Zabashta, Yu. F. (1993). The Noncrystalline Regions Formation in Polyethylene at
Stretching High Degress. Vysokomolek . Soed , A, 35(6) , 681-685.

2. Aloev, V. Z., & Kozlov, G. V. (2002). Physics of Orientational Phenomena in Polymeric

Materials. Nal'chik, Poligrafservise IT. 288 p.

3. Aloev, V. Z., Kozlov, G. V., & Dolbin, I. V. (2000). The Fractal Ayalysis of Vilume

Changes at Polymers Uniaxial Tension. Vestnik KBSU, series fizicheskie nauki (5) , 41-
42.

4. Balankin, A. S. (1991). Synergetics of Deformable Body. Moscow, Publishers of Minis-

try Defence SSSR, 404 p.