Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Instability at the interface of bodies subjected to high-elastic deformations

  • 16 Accesses

Abstract

The problem of instability at the interface of two elastic half-planes in compression is investigated within the framework of the plane problem of the stability of deformation of compressible and incompressible elastic bodies at finite subcritical strains [1, 2]. The results are obtained for the plane deformation of bodies with an arbitrary form of the elastic potential. Numerical examples are presented for high-elastic bodies with potentials of the Mooney and Treloar types.

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

Literature cited

  1. 1.

    A. E. Green and J. E. Adkins, Large Elastic Deformations and Nonlinear Continuum Mechanics, Oxford University Press (1960).

  2. 2.

    A. E. Green, R. S. Rivlin, and R. T. Shield, Proc. Roy. Soc.,A211, 1104, 128 (1952).

  3. 3.

    A. N. Guz', Prikl. Matem. i Mekhan.,34, 1113 (1970).

  4. 4.

    A. N. Guz', Mekhan. Polim., No. 6, 1107 (1970).

  5. 5.

    V. V. Novozhilov, Fundamentals of the Nonlinear Theory of Elasticity [in Russian], Moscow (1948).

  6. 6.

    M. A. Biot, Proc. Roy. Soc.,A273, 1354, 329.

  7. 7.

    M. A. Biot, Proc. Roy. Soc.,A273, 1354, 340.

  8. 8.

    Z. Wesolowski, Zesz. Nauk. Politechniki Warszawskiej, 65. Mechanika,9, 145 (1962).

  9. 9.

    V. L. Biderman, Ivz. Akad. Nauk SSSR. Mekhan. Tverd. Tela, No. 3, 54 (1968).

  10. 10.

    M. A. Biot, Mechanics of Incremental Deformations, New York (1965).

Download references

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Mekhanika Polimerov, No. 6, pp. 999–1002, November–December, 1971.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Guz', A.N. Instability at the interface of bodies subjected to high-elastic deformations. Polymer Mechanics 7, 889–892 (1971). https://doi.org/10.1007/BF00855927

Download citation

Keywords

  • Plane Problem
  • Elastic Body
  • Plane Deformation
  • Elastic Potential
  • Arbitrary Form