Chemistry Reference
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m
c
f s are fracture stress of composite and polymer matrix,
respectively, K s is stress concentration coefficient. It is obvious, that since b m
increase results to
s and
where
c
s reduction, then this means interfacial adhesion level
decrease.
FIGURE 15.14 The dependences of reinforcement degree E p / E l.m on nanoclusters relative
fraction φ cl . 1÷3 - the theoretical dependences, corresponding to the Eqs. (15.15) ÷ (15.17),
accordingly; 4, 5 - the experimental data for PC within the temperature ranges: 293÷363K(4)
and 373÷413K(5) [43].
tr
s for PC, taking into account sample cross-
section change in a deformation process, was used as
The true fracture stress
c
s for natural nano-
composites, which can be determined according to the known formula:
(
)
tr
n
sse
=
1
+
,
15.19
f
f
f
where m
s is nominal (engineering) fracture stress, ε f is strain at fracture.
The value
f s , which is accepted equal to loosely packed matrix strength
m
l.m.
f
s
cl ) plotting, which proves to be linear, and by subsequent extrapolation of
it to φ cl = 0, that gives l.m.
f s , was determined by graphic method, namely, by the dependence
l.m.
f s =40 MPa [43].
And at last, the value Ks can be determined with the help of the following
equation [39]:
 
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