Fig. 17 Arrhenius plots of linear complex modulus G
Ã
0 of SBR1500 based materials (author’s
experimental data)
1000
100
G*,kPa
G*,kPa
10
1
1000
SBR 1500 gum
RPA; 0.5 Hz
Strain Sweep tests
SBR 1500 unfilled cpd
100
10
1
60 80
100 120 140 160 180 200
60 80
100 120 140 160 180 200
1000
100
10
1
1000
100
10
1
Te m pe ra tu re , ºC
Te m pe ra tu re , ºC
S t r a in
a m
p li t u d e , %
S t r a in
a m
p li t u d e , %
Fig. 18 Comparing modeled (maps) and measured complex modulus (gray circles) at 0.5 Hz in
the 60–180
C temperature range and the 1–1,000 % strain amplitude range in the cases of gum
SBR1500 and SBR1500 No Black compound; model parameters are given in Table 2
Table 2 Model parameters
for 3D maps in Fig. 18
Test material :
SBR1500 gum
SBR 1500 No Black cpd
G*(γ) modeling at 60
C [Eq. (9)]
G
Ã
0 , kPa
185.0
191.60
G
Ã
f , kPa
21.6
17.0
γ md , %
199.4
154.3
B
1.692
1.507
r
2
0.9999
0.9988
Activation energy
Ea, kJ/mol
15.5
16.8
A Multiparametric Approach of the Nonlinear Viscoelasticity of Rubber Materials
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