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Hence, the stated above results have shown, that nanofiller particles
(aggregates of particles) “chains” in elastomeric nanocomposites are
physical fractal within self-similarity (and, hence, fractality [41]) range of
~500-1450 nm. In this range their dimension D n can be estimated accord-
ing to the Eqs. (23), (25) and (29). The cited examples demonstrate the
necessity of the measurement scales range correct choice. As it has been
noted earlier [45], the linearity of the plots, corresponding to the Eqs. (23)
and (25), and D n nonintegral value do not guarantee object self-similarity
(and, hence, fractality). The nanofiller particles (aggregates of particles)
structure low dimensions are due to the initial nanofiller particles surface
high fractal dimension.
In Fig. 6.8, the histogram is adduced, which shows elasticity modu-
lus E change, obtained in nanoindentation tests, as a function of load on
indenter P or nanoindentation depth h . Since for all the three considered
nanocomposites the dependences E ( P ) or E ( h ) are identical qualitatively,
then further the dependence E ( h ) for nanocomposite BSR/TC was chosen,
which reflects the indicated scale effect quantitative aspect in the most
clearest way.
FIGURE 6.8 The dependences of reduced elasticity modulus on load on indentor for
nanocomposites on the basis of butadiene-styrene rubber, filled with technical carbon (a),
micro (b) and nanoshungite (c).
In Fig. 6.9, the dependence of E on h pl (see Fig. 6.10) is adduced, which
breaks down into two linear parts. Such dependences elasticity modulus
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