In order to study dynamic changes of macroscopic values, for example bulk modulus, dynamic modulus and volume, of particle reinforced vulcanizates, that consist of A, B, C and particle phases (Fig. 2), we investigated the changes of microstructual elements, that are spin-spin relaxation time and interaction forces among molecular chains (physical bonds), and macroscopic values.
Consequently we confirmed that inter action forces of physical bonds in A phase decreased and spin-spin relaxation time increased because of increases of free volume and breaking molecular chains.
On the other hand, in C phase we confirmed that free volume decreased and volume of C phase increased because of the increase of interaction forces among molecular chains and we presented the distribution change model of molecular chain densities by repeated compression.
In addition we examined change patterns of bulk modulus, volume and swollen network densities and finally we cofirmed that bulk modulus
Xcomp (
N) was changed by increase of free volume of A phase because of the decrease of molecular chain's interaction. And we presented an approximate equation about
Kcomp (
N),
K
comp(N)=[K
0+γ{
T2A(N)}
-1]{(1-V
f)(1-C
*V
f)}
Here
T2A (
N) is spin-spin relaxation time of A phase,
N is repeated compression number,
Vf is volume ratio of particules,
C* is volume ratio of a unit
C phase and
K0, γ is constant.
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