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Meccanica

, Volume 10, Issue 3, pp 194–197 | Cite as

An existence and uniqueness theorem in linear elastodynamics

  • Paolo Podio Guidugli
Article
  • 35 Downloads

Summary

Laplace transform with respect to time is applied to the boundary-initial-value problem of linear elastodynamics in order to produce a simpler elliptic boundary-value problem. Existence and uniqueness of the weak solution of the latter problem are proved.

Keywords

Mechanical Engineer Civil Engineer Weak Solution Tempo Uniqueness Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Sommario

Si studiano le questioni di esistenza e unicità per il problema al contorno di tipo ellittico che risulta dalla trasformazione secondo Laplace rispetto al tempo del problema nei valori iniziali e al contorno della elastodinamica lineare.

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References

  1. 1.
    Lions J. L. &Magenes E., “Problèmes aux limites non homogènes et applications.” Vol. 1, Dunod, 1968.Google Scholar
  2. 2.
    Campanato S., “La diseguaglianza di Korn in elasticità,” Symp. on “Existence and Stability in Elasticity,” Udine, June 18–23, 1971.Google Scholar
  3. 3.
    Gurtin M. E., “The linear theory of elasticity,”Handbuch der Physik, S. Flügge Ed., Band VI a/2, Springer-Verlag, 1972.Google Scholar
  4. 4.
    Villaggio P., “Qualitative methods in elasticity.” Noordhoff. To be published.Google Scholar
  5. 5.
    Benthien G. &Gurtin M. E., “A principle of minimum transformed energy in elastodynamics,”J. Appl. Mech. 31, 1147–1149, 1970.Google Scholar

Copyright information

© Tamburini Editore s.p.a. Milano 1975

Authors and Affiliations

  • Paolo Podio Guidugli
    • 1
  1. 1.Istituto di Scienza delle CostruzioniUniversità di PisaItaly

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