In the cleavage reaction of crosslinked polymer, it is assumed that (i) random cleavage of main chain, (ii) cleavage at crosslink, and (iii) cleavage near crosslink will occur.
In the scission reaction of natural rubber vulcanizates, it is assumed from the behaviours of the stress relaation of the vulcanizates in the previous report that (i) and (ii) will occur at the same time and (iii) will be contained in (i).
The following equation is derived :
f (
t) /
f (
o) = {1-4
kx/
k+2
x·
Q (
t) /
M0}
e-2
x2/
k+2
x·
Q (
t) /
M0+2
k/
k+2
x·
Q (
t) /
M0e-4
x3/
k+2
x·
Q (
t) /
M0Q (
t) =
qm (
t) +
Qc (
t)
Where;
Q (
t) : the total number of cleavages of network for cubic centimeter.
qm (
t) : the number of moles of cleavages of effective chains per cubic centineter.
Qc (
t) : the number of moles of cleavages at crosslink per cuic centimeter.
x : the total number of moles of unit molecules, of which one effective chain consists.
k : the ratio of the probability of random cleavages of main chains to the one of cleavages at crosslinks.
The scission reaction of natural rubber vulcanizates was presumed by calculating k from the assumption that the number of moles of cleavages of main chains
qm (
t) of sulfur cure system would be the same as that of the peroxide cure system, because of their having same polymer structure, only random scission of main chains occurring in the peroxide cured system.
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