Skip to main content
SpringerLink
Log in

Linear elasticity for constrained materials: incompressibility

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

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

References

  1. A. Hoger and B.E. Johnson, Linear elasticity for constrained materials: general theory. Journal of Elasticity 38 (1995) 95–120.

    Google Scholar 

  2. R.S. Marlow, On the stress in an internally constrained elastic material. Journal of Elasticity 27 (1992) 97–131.

    Google Scholar 

  3. M.E. Gurtin, The linear theory of elasticity. In Truesdell (ed.), Handbuch der Physik, Vol. VIa/2. Springer-Verlag (1972).

  4. M. Hayes and C.O. Horgan, On the Dirichlet problem for incompressible elastic materials. Journal of Elasticity 4 (1974) 17–25.

    Google Scholar 

  5. M.E. Gurtin, An Introduction to Continuum Mechanics. Academic (1981).

  6. R.J. Knops and L.E. Payne, Uniqueness Theorems in Linear Elasticity. Springer Tracts in Natural Philisophy, Vol. 19. Springer-Verlag (1971).

  7. I.S. Sokolnikoff, Mathematical Theory of Elasticity. McGraw-Hill (1956).

  8. R. Hill, Uniqueness in general boundary-value problems for elastic or inelastic solids. Journal of the Mechanics and Physics of Solids 9 (1961) 114–130.

    Google Scholar 

  9. R.J. Atkin and N. Fox, An Introduction to the Theory of Elasticity. Longman (1980).

  10. A. Hoger, ON the determination of residual stress in an elastic body. Journal of Elasticity 16 (1986) 303–324.

    Google Scholar 

  11. A. Hoger, On the dead load boundary value problem. Journal of Elasticity 25 (1991) 1–15.

    Google Scholar 

  12. A.J.M. Spencer, Deformations of Fibre-Reinforced Materials. Clarendon Press, Oxford (1972).

    Google Scholar 

  13. M.E. Gurtin, Topics in Finite Elasticity, SIAM (1981).

  14. R.S. Rivlin, Stability of pure homogeneous deformations of an elastic cube under dead loading. Quarl. Appl. Math. 32 (1974) 265–271.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, 92093, LaJolla, California, USA

    Anne Hoger & Byron E. Johnson

Authors
  1. Anne Hoger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Byron E. Johnson
    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

Hoger, A., Johnson, B.E. Linear elasticity for constrained materials: incompressibility. J Elasticity 38, 69–93 (1995). https://doi.org/10.1007/BF00121464

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00121464

Keywords

Search

Navigation