Advertisement

Experiments on the Mechanics of Rubber

II: The Torsion, Inflation and Extension of a Tube
  • A. N. Gent
  • R. S. Rivlin

Abstract

The formulae derived by Rivlin (1949) for the forces necessary to produce simple extension, radial inflation and torsion in a tube of incompressible highly elastic material, which is isotropic in its undeformed state, are specialized to the case when the amount of torsion is small. The resulting formulae are compared with measurements on tubes of vulcanized natural rubber and conclusions as to the form of the stored-energy function are drawn, in general agreement with those reached from earlier experiments. The experiments indicate that hysteresis between the loading and unloading curves for the vulcanizate is associated with certain terms in the expression for its stored-energy function and, presumably, with the mechanism which accounts for the presence of these terms.

Keywords

Natural Rubber Simple Extension Rubber Tube Undeformed State Extension Ratio 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Flory, P. J., 1942, J. Chem. Phys., 10, 51.CrossRefGoogle Scholar
  2. Flory, P. J., and Rehner, J., Jr., 1943, J. Chem. Phys., 11, 521.CrossRefGoogle Scholar
  3. Gee, G., 1946 a, Trans. Faraday Soc. 42, 33CrossRefGoogle Scholar
  4. Gee, G.,1946 b, Trans. Faraday Soc. 42, 585.CrossRefGoogle Scholar
  5. Huggins, M., 1942, Ann. N.Y. Acad. Sci., 43, 1.CrossRefGoogle Scholar
  6. Rivlin, R. S., 1949, Phil. Trans. Roy. Soc. A, 242, 173.CrossRefGoogle Scholar
  7. Rivlin, R. S., and Saunders, D. W., 1951, Phil. Trans. Roy. Soc. A, 243, 251; 1952, Trans. Faraday Soc. (in the press).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • A. N. Gent
    • 1
  • R. S. Rivlin
    • 1
  1. 1.British Rubber Producers’ Research AssociationWelwyn Garden City, HertsUK

Personalised recommendations