Skip to main content
Log in

On uniqueness for the displacement problem in the dynamical theory of elasticity

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

By means of a weighted form of Garding's inequality, we prove a uniqueness theorem for the initial boundary value problem of finite elastodynamics in unbounded domains.

Sommario

Mediante un'opportuna forma pesata della disuguaglianza di Garding, che ricaviamo preliminarmente, dimostriamo un teorema di unicità per il problema degli spostamenti in elastodinamica non lineare relativo a corpi occupanti regioni non limitate dello spazio.

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. L. Wheeler, A uniqueness theorem for the displacement problem in finite elastodynamics. Arch. Rational Mech. Anal. 53 (2) (1977) 183–189.

    Google Scholar 

  2. L. Wheeler, On the uniqueness of solutions to the displacement problem in linear elastodynamics. J. Elasticity 1 (2) (1971) 121–124.

    Google Scholar 

  3. R. Russo, Uniqueness of the displacement boundary-value problem in linear elastostatics, to appear.

  4. R. Russo, On the basic theorems in linear elastostatics for bodies containing edge-cracks. Int. J. Engng. Sci., to appear.

  5. S. Agmon, Lectures on elliptic boundary value problems. Van Nostrand Mathematical Studies (1965).

  6. L. Van Hove, Sur l'extension de la condition de Legendre du calcul des variations aux intégrales multiples à plusiers fonctions inconnues. Proc. Koninkl. Akad. Wetenschap 50 (1947) 18–23.

    Google Scholar 

  7. E. Scarpetta, Theorems of continuous dependence and uniqueness in non-linear elastodynamics. Boll. U.M.I., in press.

  8. B. Carbonaro and R. Russo, Energy inequalities and the domain of influence theorem in classical elastodynamics. J. Elasticity, 14 (2) (1984) 163–174.

    Google Scholar 

  9. B. Carbonaro and R. Russo, A uniqueness theorem for a linear hyperbolic partial differential system of the second order. Comm. PDE, 9 (1) (1984) 49–62.

    Google Scholar 

  10. B. Carbonaro and R. Russo, Esempi di non unicità e di non validità del teorema del dominio d'influenza per un'equazione del tipo dell'elasticità lineare, Submitted for publication.

  11. B. Carbonaro and R. Russo, On some classical theorems in linear elastodynamics, to appear.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Russo, R. On uniqueness for the displacement problem in the dynamical theory of elasticity. J Elasticity 15, 117–123 (1985). https://doi.org/10.1007/BF00041986

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00041986

Keywords

Navigation