Skip to main content
SpringerLink
Log in

A note on isotropic elastic response

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

For an important class of incompressible isotropic elastic solids, the response function for the extra stress is a (tensor-valued) function of scalar type. It is shown here that the stress response for compressible isotropic elastic solids cannot be of scalar type.

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. M.Mooney, J. Appl. Phys. 11, 582 (1940).

    Google Scholar 

  2. A. J.Carmichael and H. W.Holdaway, J. Appl. Phys. 32, 159 (1961).

    Google Scholar 

  3. K. C.Valanis and R. F.Landel, J. Appl. Phys. 38, 2997 (1967).

    Google Scholar 

  4. R. W.Ogden, Proc. Roy. Soc. A 326, 565 (1972).

    Google Scholar 

  5. R. S.Rivlin and K. N.Sawyers, Trans. Soc. Rheol. 20, 545 (1976).

    Google Scholar 

  6. C.Truesdell and W.Noll, The Nonlinear field theories of mechanics, Handbuch der Physik III/3, Springer-Verlag (Berlin-Heidelberg-New York), 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of California at Berkeley, 94720, Berkeley, CA, U.S.A.

    M. M. Carroll

Authors
  1. M. M. Carroll
    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

Carroll, M.M. A note on isotropic elastic response. J Elasticity 13, 107–109 (1983). https://doi.org/10.1007/BF00041320

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041320

Keywords

Search

Navigation