Skip to main content
Log in

Energy inequalities and the domain of influence theorem in classical elastodynamics

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

In this paper we derive a number of a priori estimates for classical solutions of the system of linear elastodynamics, and we prove an analogue of the classical domain of influence theorem for a class of unbounded elastic bodies that may stiffen at infinity.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.E. Gurtin, The linear theory of elasticity, Handbuch der Physik, Vol. VIa/2, Berlin-Heidelberg-New York, Springer-Verlag, 1971.

    Google Scholar 

  2. B. Carbonaro and R. Russo, On the work and energy theorem for unbounded elastic bodies. J. Elasticity, in press.

  3. R. Russo, Sulla conservazione dell'energia e sul decadimento delle soluzioni dell'elastodinamica lineare. Atti VI Congresso A.I.M.E.T.A, Genova, 7–9 ottobre 1982.

  4. B. Carbonaro and R. Russo, Sull'estendibilità di alcuni classici teoremi dell'elastodinamica lineare. Atti VI Congresso A.I.M.E.T.A., Genova 7–9 ottobre 1982.

  5. R. Russo, On the elastic stability in unbounded domains. To appear.

  6. B. Carbonaro and R. Russo, On the existence in classical elastodynamics. To appear.

  7. J.E. Marsden and J.R. Hughes, Classical elastodynamics as a linear symmetric hyperbolic system, J. Elasticity 8 (1978) 97–110.

    Google Scholar 

  8. V.D. Kuprad'ze, Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. North-Holland (1979).

  9. C.H. Wilcox, Initial-boundary value problems for linear hyperbolic partial differential equations of the second order, Arch. Rational Mech. Anal., 10 (1962) 361–400.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carbonaro, B., Russo, R. Energy inequalities and the domain of influence theorem in classical elastodynamics. J Elasticity 14, 163–174 (1984). https://doi.org/10.1007/BF00041663

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041663

Keywords

Navigation