This work explores the monotonic and cyclic behaviors of filled, natural rubber. Results of stress-strain experiments conducted under stress states of simple, planar, and equibiaxial tension are presented. The ability of hyperelastic models to capture the observed response, as well as recent developments in constitutive modeling of filled rubber such as the consequences of the Mullins effect, are discussed. Monotonic and cyclic multiaxial experiments were also conducted using a short, thin-walled, cylindrical specimen subjected to a wide range of combined axial and twist displacements. Experiments included pure axial tension, pure torsion, combined loading in which the axial and torsion displacements varied proportionally, and combined loading in which the axial and torsion displacements varied non-proportionally (phase between axial and torsion channels of ϕ=0 deg, 90 deg, 180 deg). Results from these tests are presented and discussed, including evolution of stress-strain behavior with load cycles, and the effects of a short period of initial overloading on the subsequent evolution of the stress-strain response.
Issue Section:
Technical Papers
1.
Mars
, W. V.
, and Fatemi
, A.
, 2002
, “A Literature Survey on Fatigue Analysis Approaches for Rubber
,” Int. J. Fatigue
, 24
(9
), pp. 949
–961
.2.
Mars
, W. V.
, and Fatemi
, A.
, 2004
, “Factors that Affect the Fatigue Life of Rubber: A Literature Survey
,” Rubber Chem. Technol., 76(3).3.
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
, 455
, pp. 2861
–2877
.4.
ABAQUS Theory Manual, 2000, HKS, Pawtuckett, RI.
5.
Ogden, R. W., 1997, Non-Linear Elastic Deformations, Dover Publications, Mineola, New York.
6.
Peng, S. H., 1995, “A Compressible Approach in Finite Element Analysis of Rubber-Elastic Materials: Formulation, Programming, and Application,” Ph.D. dissertation, University of Southern California.
7.
Rivlin
, R. S.
, 1948
, “Large elastic deformations of isotropic materials. I. Fundamental concepts. II. Some uniqueness theorems for pure, homogeneous deformation
,” Proc. R. Soc. London, Ser. A
, 240
, pp. 459
–508
.8.
Mooney
, M.
, 1940
, “A theory of large elastic deformation
,” J. Appl. Phys.
, 11
, pp. 582
–592
.9.
Ogden
, R. W.
, 1972
, “Large deformation isotropic elasticity I: on the correlation of theory and experiment for incompressible rubber-like solids
,” Proc. R. Soc. London, Ser. A
, 326
, pp. 565
–584
.10.
Gent
, A. N.
, 1996
, “A new constitutive relation for rubber
,” Rubber Chem. Technol.
, 69
, pp. 59
–61
.11.
Arruda
, E. M.
, and Boyce
, M. C.
, 1993
, “A Three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
,” J. Mech. Phys. Solids
, 41
, pp. 389
–412
.12.
Yeoh
, O. H.
, 1993
, “Some forms of the strain energy function for rubber
,” Rubber Chem. Technol.
, 66
, pp. 754
–771
.13.
Yeoh
, O. H.
, 1990
, “Characterization of elastic properties of carbon-black-filled rubber vulcanizates
,” Rubber Chem. Technol.
, 63
, pp. 792
–805
.14.
Han
, W. H.
, Horkay
, F.
, and McKenna
, G. B.
, 1999
, “Mechanical and swelling behaviors of rubber: a comparison of some molecular models with experiment
,” Math. Mech. Solids
, 4
, pp. 139
–167
.15.
Rivlin
, R. S.
, 1992
, “The Elasticity of Rubber
,” Rubber Chem. Technol.
, 65
, pp. G51–G66
G51–G66
.16.
Mullins
, L.
, 1969
, “Softening of Rubber by Deformation
,” Rubber Chem. Technol.
, 42
, pp. 339
–362
.17.
Finite Element Analysis of Elastomers, 1999, D. Boast and V. A. Coveney, eds. Professional Engineering Publishing, London, UK.
18.
Ahmadi, H. R., Gough, J., Muhr, A. H., and Thomas, A. G., 1999, “Bi-axial experimental techniques highlighting the limitations of a strain-energy description of rubber,” Constitutive Models for Rubber, A. Dorfmann and A. Muhr, eds., A. A. Balkema, Netherlands.
19.
Mullins
, L.
, 1947
, “Studies in the absorption of energy by rubber. I. Introductory Survey
,” J. Rubber Research
, 16
, pp. 180
–185
.20.
Bueche
, F.
, 1962
, “Mullins Effect and Rubber-Filler Interaction
,” Rubber Chem. Technol.
, 35
, pp. 259
–273
.21.
Derham
, C. J.
, and Thomas
, A. G.
, 1977
, “Creep of rubber under repeated stressing
,” Rubber Chem. Technol.
, 50
, pp. 397
–402
.22.
McKenna
, G. B.
, and Zapas
, L. J.
, 1981
, “Response of carbon black filled butyl rubber to cyclic loading
,” Rubber Chem. Technol.
, 54
, pp. 718
–733
.23.
Bergstrom
, J. S.
, and Boyce
, M. C.
, 2000
, “Large strain time-dependent behavior of filled elastomers
,” Mech. Mater.
, 32
, pp. 627
–644
.24.
Govindjee
, S.
, and Simo
, J. C.
, 1991
, “A micro-mechanically-based continuum damage model for carbon black-filled rubbers incorporating the Mullins effect
,” J. Mech. Phys. Solids
, 39
, pp. 87
–112
.25.
European Conferences on Constitutive Models for Rubber (ECCMR), All Proceedings were published by A. A. Balkema Publishers, Vienna, Austria, 1999, (A. Dorfmann and A. Muhr, eds., ISBN 9058091139), Hannover, Germany, 2001 (D. Besdo, R. Schuster, and J. Ihlemann, eds., ISBN 9026518471), London, United Kingdom, 2003 (J. Busfield and A. Muhr, eds., ISBN 9058095665).
26.
Sun
, C.
, Gent
, A. N.
, and Marteny
, P.
, 2000
, “Effect of fatigue step loading sequence on residual strength
,” Tire Sci. Technol.
, 28
, pp. 196
–208
.27.
Mars, W. V., and Fatemi, A., 2003, “Fatigue Crack Nucleation and Growth in Filled Natural Rubber,” J. Fatigue Fract. Eng. Mater. Struct., 26, pp. 779–789.
28.
Mars
, W. V.
, and Fatemi
, A.
, 2003
, “A Phenomenological Model for the Effect of R ratio on Fatigue of Strain Crystallizing Rubber
,” Rubber Chem. Technol.
, 76
(5
), pp. 1241
–1258
.29.
Mars
, W. V.
, and Fatemi
, A.
, 2003
, “A Novel Specimen for Investigating Mechanical Behavior of Elastomers under Multiaxial Loading Conditions
,” Journal of Experimental Mechanics, 44(1). 30.
Govindjee
, S.
, 1997
, “An Evaluation of Strain-Amplification Concepts Via Monte Carlo Simulations of an Ideal Composite
,” Rubber Chem. Technol.
, 70
, pp. 25
–37
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