Knowledge of the stress response of a material to the applied deformations is necessary for many engineering analysis and applications. This paper addresses the observed effects of load sequencing, Mullins effect, and multiaxial loading on the constitutive behavior of rubber under variable amplitude conditions for a series of experiments using multiaxial ring test specimens. Two filled rubber materials were used and compared in this study; natural rubber, which strain crystallizes, and styrene butadiene rubber (SBR), which does not. A pseudoelastic approach is used to model the cyclic stress-strain response for both materials. The implications of inelasticity when using hyperelastic material models are also discussed. Based on temperature results for the multiaxial ring specimen obtained via a thermal imaging system for SBR, a model capable of accurately predicting surface temperature for the multiaxial ring specimen as a function of hysteresis area and test frequency has been developed.

1.
Mars
,
W. V.
, and
Fatemi
,
A.
, 2004, “
Observations of the Constitutive Response and Characterization of Filled Natural Rubber Under Monotonic and Cyclic Multiaxial Stress-States
,”
ASME J. Eng. Mater. Technol.
0094-4289,
126
, pp.
19
28
.
2.
Roland
,
C. M.
, and
Sobieski
,
J. W.
, 1989, “
Anomalous Fatigue Behavior in Polyisoprene
,”
Rubber Chem. Technol.
0035-9475,
62
, pp.
683
697
.
3.
Mars
,
W. V.
, and
Fatemi
,
A.
, 2005, “
Multiaxial Fatigue of Rubber: Part II: Experimental Observations and Life Predictions
,”
Fatigue Fract. Eng. Mater. Struct.
8756-758X,
28
, pp.
523
538
.
4.
Mullins
,
L.
, 1969, “
Softening of Rubber by Deformation
,”
Rubber Chem. Technol.
0035-9475,
42
, pp.
339
362
.
5.
Ogden
,
R. W.
, and
Roxburgh
,
D. G.
, 1999, “
A Pseudo-Elastic Model for the Mullins Effect in Filled Rubber
,”
Proc. R. Soc. London, Ser. A
1364-5021,
455
, pp.
2861
2877
.
6.
Wang
,
B.
,
Lu
,
H.
, and
Kim
,
G.
, 2002, “
A Damage Model for the Fatigue Life of Elastomeric Materials
,”
Mech. Mater.
0167-6636,
34
, pp.
475
483
.
7.
Marckmann
,
G.
,
Verron
,
E.
,
Gornet
,
L.
,
Chagnon
,
G.
,
Charrier
,
P.
, and
Fort
,
P.
, 2002, “
A Theory of Network Alteration for the Mullins Effect
,”
J. Mech. Phys. Solids
0022-5096,
50
, pp.
2011
2028
.
8.
Roland
,
C. M.
, 1989, “
Network Recovery From Uniaxial Extension. I. Elastic Equilibrium
,”
Rubber Chem. Technol.
0035-9475,
62
, pp.
863
879
.
9.
Mars
,
W. V.
, and
Fatemi
,
A.
, 2004, “
A Novel Specimen for Investigating the Mechanical Behavior of Elastomers Under Multiaxial Loading Conditions
,”
Exp. Mech.
0014-4851,
44
, pp.
136
146
.
10.
Sun
,
C.
,
Gent
,
A. N.
, and
Marteny
,
P.
, 2000, “
Effect of Fatigue Step Loading Sequence on Residual Strength
,”
Tire Sci. Technol.
0090-8657,
28
, pp.
196
208
.
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