Experimental Mechanics

, Volume 44, Issue 2, pp 136–146 | Cite as

A novel specimen for investigating the mechanical behavior of elastomers under multiaxial loading conditions

  • W. V. Mars
  • A. Fatemi
Article

Abstract

In this paper we describe the design and manufacture of an axial-torsion test specimen, and provide relationships needed when conducting stress-strain characterization experiments with the specimen. The specimen is a short hollow cylinder of rubber bonded between two steel mounting rings, in which simultaneous axial and shear strains are produced via independently controlled axial and twist displacements. We present calculations for the strain-displacement and stress-load relationships, and strain energy density. These relationships have been established and validated via a combination of analytical and experimental techniques, and finite element analysis. We have investigated the extent and effects of strain and stress field non-uniformity in the test specimen. The specimen design is sufficiently simple that a closed-form expression for the strain-displacement relationship has been successfully developed.

Key Words

Rubber specimen multiaxial fatigue multiaxial loading axial-torsion testing of elastomers 

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References

  1. 1.
    Mars, W.V. andFatemi, A., “A Literature Survey on Fatigue Analysis Approaches for Rubber,”International Journal of Fatigue,24, (9),949–961 (2002).CrossRefGoogle Scholar
  2. 2.
    Mars, W.V. and Fatemi, A., “Factors that Affect the Fatigue Life of Rubber: A Literature Survey,”Journal of Rubber Chemistry and Technology,77, (3) (2004).Google Scholar
  3. 3.
    Cadwell, S.M., Merrill, R.A., Sloman, C.M., andYost, F.L., “Dynamic Fatigue Life of Rubber,”Industrial and Engineering Chemistry, Anal. Ed.,12,19–23 (1940),Reprinted in Rubber Chemistry and Technology,13,304–315 (1940).CrossRefGoogle Scholar
  4. 4.
    Gehman, S.D., Rohall, P., andLivingston, D.I., “Biaxial Fatigue Testing of Vulcanizates,”Rubber Chemistry and Technology,34,506–526 (1961).Google Scholar
  5. 5.
    Roberts, B.J. andBenzies, J.B., “The Relationship Between Uniaxial and Equibiaxial Fatigue in Gum and Carbon Black Filled Vulcanizates,”Proceedings of Rubbercon'77, Vol 2.1, 2.1–2.13 (1977).Google Scholar
  6. 6.
    Roach, J.F., “Crack Growth in Elastomers under Biaxial Stresses,” Ph.D. Dissertation, University of Akron (1982).Google Scholar
  7. 7.
    Aboutorabi, H., Ebbott, T.G., Gent, A. N., andYeoh, O.H., “Crack Growth in Twisted Rubber Disks. Part I: Fracture Energy Calculations,”Rubber Chemistry and Technology,71,76–83 (1998).Google Scholar
  8. 8.
    De, D.K. andGent, A.N., “Crack Growth in Twisted Rubber Disks. Part II: Experimental Results,”Rubber Chemistry and Technology,71,84–94 (1998).Google Scholar
  9. 9.
    Le Gorju-Jago, K. and Bathias, C., “Effect of High Hydrostatic Pressure on Fracture of Elastomeric Materials,” Tire Science and Technology, at press.Google Scholar
  10. 10.
    Stevenson, A., Hawkes, J.R., Harris, J.A., and Hansen, P., “Fatigue Life of Elastomeric Engineering Components Under Biaxial Loading Using Finite Element Analysis,” Society of Automotive Engineers, Paper No. 983210 (1998).Google Scholar
  11. 11.
    Stevenson, A., “Fatigue Crack Growth in High Load Capacity Rubber Laminates,”Rubber Chemistry and Technology,59,208–222 (1986).Google Scholar
  12. 12.
    Mars, W.V. and Fatemi, A., “Comparison of Criteria for Predicting Fatigue Crack Nucleation in Rubber under Multiaxial Loading,” Proceedings of ECCMR, D. Besdo, R. Schuster, and J. Ihlemann, editors, Hanover, Germany, September, 213–222 (2001).Google Scholar
  13. 13.
    Mars, W.V. andFatemi, A., “Fatigue Crack Nucleation and Growth in Filled Natural Rubber,”Journal of Fatigue and Fracture of Engineering Materials and Structures,26,779–789 (2003).CrossRefGoogle Scholar
  14. 14.
    Mars, W.V. andFatemi, A., “A Phenomenological Model for the Effect of R ratio on Fatigue of Strain Crystallizing Rubber,”Journal of Rubber Chemistry and Technology,76 (5),1241–1258 (2003).Google Scholar
  15. 15.
    Mars, W.V. and Fatemi, A., “Observations of the Constitutive Response and Characterization of Filled Natural Rubber under Monotonic and Cyclic Multiaxial Stress States,” ASME Journal of Engineering Materials and Technology, Vol. 126 (2004).Google Scholar

Copyright information

© Society for Experimental Mechanics 2004

Authors and Affiliations

  • W. V. Mars
    • 1
  • A. Fatemi
    • 2
  1. 1.Cooper Tire and Rubber CompanyFindlayUSA
  2. 2.Mechanical, Industrial and Manufacturing Engineering DepartmentThe University of ToledoToledoUSA

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