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Elastostatic uniqueness in the half-space

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References

  1. Kirchhoff, G., Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes. J. für die reine und angewandte Mathematik 56, 285 (1859).

    Google Scholar 

  2. Neuber, H., Elastisch-strenge Lösungen zur Kerbwirkung bei Scheiben und Umdrehungs-körpern. Z. angewandte Mathematik und Mechanik 14, 203 (1934).

    Google Scholar 

  3. Fichera, G., Sull'esistenza e sul calcolo delle soluzioni dei problemi al contorno relativi all'equilibrio di un corpo elastico. Annali della Scuola Normale Superiori di Pisa, Ser. III, 4, 35 (1950).

    Google Scholar 

  4. Duffin, R.J., & W. Noll, On exterior boundary value problems in linear elasticity. Arch. Rational Mechanics and Analysis 2, 191 (1958).

    Google Scholar 

  5. Gurtin, M.E., & E. Sternberg, Theorems in linear elastostatics for exterior domains. Arch. Rational Mechanics and Analysis 8, 99 (1961).

    Google Scholar 

  6. Muskhelishvili, N.I., Some Basic Problems of the Mathematical Theory of Elasticity. Fourth Ed. Groningen: P. Nordhoff 1963. (Translated by J.R.M. Radok).

  7. Duffin, R.J., Analytic continuation in elasticity. J. Rational Mechanics and Analysis 5, 939 (1956).

    Google Scholar 

  8. Knops, R.J., Uniqueness of the displacement boundary-value problem for the classical elastic half-space. Arch. Rational Mechanics and Analysis 20, 373 (1965).

    Google Scholar 

  9. Courant, R., & D. Hilbert, Methods of Mathematical Physics, vol. II. New York: Interscience 1962.

    Google Scholar 

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The results communicated in this paper were obtained in the course of an investigation conducted under Contract Nonr-220(58) with the Office of Naval Research in Washington, D.C. The work was carried out while one of the authors (M.J.T.) was on leave from the University of Chile.

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Turteltaub, M.J., Sternberg, E. Elastostatic uniqueness in the half-space. Arch. Rational Mech. Anal. 24, 233–242 (1967). https://doi.org/10.1007/BF00281345

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