Skip to main content
SpringerLink
Log in

Admissibility conditions on principal strain invariants

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

Some aspects of the principal stretch and strain invariants, including admissibility conditions and their graphical representations, are discussed.

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

  • Von Rösel, R.: Das Definitionsgebiet der Grundinvarianten eines Tensors. ZAMP 17, 38–61 (1966).

  • Moriarty, T. F.: Two sets of inequalities among the principal invariants of the Cauchy-Green deformation tensors. J. Elasticity 1, 87–90 (1971).

    Google Scholar 

  • Hsu, C. S. Private communication.

  • Sawyers, K. N.: On the possible values of the strain invariants for isochoric deformation. J. Elasticity 7, 99–102 (1977).

    Google Scholar 

  • Smirnov, V. I.: A course of higher mathematics, vol. 1, pp. 491–496. Massachusetts: Addison-Wesley 1964.

  • Signorini, A.: Sulle deformazioni termoelastiche finite. Proc. 3rd Int. Congress of Appl. Mech., Stockholm 2, pp. 80–89 (1930).

Download references

Author information

Authors and Affiliations

  1.  , 799 Hightower Way, Webster, NY, 14580-2548, U.S.A

    V. K. Agarwal

  2. Department of Mechanical Engineering and Materials Science, Rice University, Mail Stop 321, P. O. Box 1892, Houston, TX, 77251-1892, U.S.A

    M. M. Carroll

Authors
  1. V. K. Agarwal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. M. Carroll
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. K. Agarwal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Agarwal, V.K., Carroll, M.M. Admissibility conditions on principal strain invariants. Acta Mechanica 177, 89–96 (2005). https://doi.org/10.1007/s00707-005-0192-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-005-0192-0

Keywords

Search

Navigation