Skip to main content
SpringerLink
Log in

Wave propagation in sheared rubber

  • Original Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The speeds of propagation and polarization amplitudes are presented for finite amplitude plane shear waves propagating in rubber which is maintained in a state of static finite simple shear. The Mooney-Rivlin form of the stored-energy function is used to model the mechanical behaviour of the material. General relations are obtained between the speed of propagation of the fastest and slowest waves and the speed of propagation of the finite amplitude circularly polarized waves which may propagate along the acoustic axes. The slowness and ray surfaces are also presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Boulanger, Ph., Hayes, M.: Finite-amplitude waves in deformed Mooney-Rivlin materials. Q. J. Mech. Appl. Math.45, 575–593 (1992).

    Google Scholar 

  2. Landau, L. D., Lifschitz, E. M.: Electrodynamics of continuous media, p. 326. Oxford: Pergamon 1960.

    Google Scholar 

  3. Boulanger, Ph., Hayes, M.: Further properties of finite-amplitude waves in deformed Mooney-Rivlin materials. Q. J. Mech. Appl. Math.48, 427–464 (1995).

    Google Scholar 

  4. Truesdell, C.: General and exact theory of waves in finite elastic strain. Arch. Rat. Mech. Anal.8, 263–296 (1961).

    Google Scholar 

  5. Boulanger, Ph., Hayes, M.: The common conjugate directions of plane sections of two concentric ellipsoids. ZAMP46, 356–371 (1995).

    Google Scholar 

  6. Truesdell, C.: Instabilities of perfectly elastic materials in simple shear. Proceedings 11th Int. Cong. Appl. Mech. (Gortler, H., ed.), Munich, Germany, 1964, pp. 139–142, Berlin: Springer 1966.

    Google Scholar 

  7. Knowles, J. K.: Large amplitude oscillations of a tube of incompressible elastic material. Q. Appl. Math.18, 71–77 (1960).

    Google Scholar 

  8. Chadwick, P., Whitworth, A. M., Borejko, P.: Basic theory of small-amplitude waves in a constrained elastic body. Arch. Rat. Mech. Anal.87, 339–354 (1985).

    Google Scholar 

  9. Borejko, P.: Inhomogeneous plane waves in a constrained elastic body. Q. J. Mech. Appl. Math.40, 71–87 (1987).

    Google Scholar 

Download references

Author information

Author notes

  1. Ph. Boulanger

    Present address: Department de Mathématique, Université Libre de Bruxelles, Campus Plaine C. P. 218/01, 1050, Bruxelles, Belgium

  2. M. Hayes

    Present address: Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland

Authors and Affiliations

    Authors
    1. Ph. Boulanger
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. M. Hayes
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Boulanger, P., Hayes, M. Wave propagation in sheared rubber. Acta Mechanica 122, 75–87 (1997). https://doi.org/10.1007/BF01181991

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01181991

    Keywords

    Search

    Navigation