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Weighted energy methods in elastostatics on unbounded domains

  • Part Two: Weighted Energy Methods In Elasticity
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Weighted Energy Methods in Fluid Dynamics and Elasticity

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1134))

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References to Chapter VII

  1. M.E. Gurtin, Theory of Elasticity, Handbuch der Physik, VI, 2nd edn., Berlin-Heidelberg-New York, Springer (1971).

    Google Scholar 

  2. G. Kirchhoff, J. Reine Angew. Math., 56 (1859) 285.

    Article  MathSciNet  Google Scholar 

  3. G. Fichera, Ann. Scuola Norm. Pisa, (3) 4 (1950) 35.

    MathSciNet  Google Scholar 

  4. M.E. Gurtin & E. Sternberg, Arch. Rational Mech. Anal., 8 (1961) 99.

    Article  ADS  MathSciNet  Google Scholar 

  5. C.H. Wilcox, J. Elast., 9 (1979) 221.

    Article  MathSciNet  Google Scholar 

  6. G.P. Galdi & S. Rionero, J. Elast., 10 (1980) 333.

    Article  MathSciNet  Google Scholar 

  7. K.B. Howell, J. Elast., 10 (1980) 407.

    Article  MathSciNet  Google Scholar 

  8. S. Rionero & G.P. Galdi, Arch. Rational Mech. Anal., 69 (1979) 37.

    Article  ADS  MathSciNet  Google Scholar 

  9. G.P. Galdi & S. Rionero, Quart. J. Mech. Appl. Math., 32 (1979) 149.

    Article  ADS  MathSciNet  Google Scholar 

  10. G.P. Galdi & S. Rionero, Ref. [3] to Chapter III.

    Google Scholar 

  11. G.P. Galdi, The Maximum Modulus Theorem for Linear Elasticity on Exterior Domains, Institute of Mathematics, University of Naples, Internal Report (1981).

    Google Scholar 

  12. D.G. Natroshivily, Diffenentisial’nye Uravneniya, 14 (1978) 1649 (in Russian).

    Google Scholar 

  13. A.J.C. Barre de Saint-Venant, Mem. Divens Savants, 14 (1855) 233.

    Google Scholar 

  14. J. Boussinesq, Application des Potentiels a L’Etude de L’Equilibre et des Mouvements des Solides Elastiques, Paris: Gauthier-Villars (1885).

    MATH  Google Scholar 

  15. R.A. Toupin, Arch. Rational Mech. Anal., 18 (1965) 83.

    Article  ADS  MathSciNet  Google Scholar 

  16. R.J. Knops & L. Payne, Arch. Rational Mech. Anal., 81 (1983) 1.

    Article  ADS  MathSciNet  Google Scholar 

  17. J.L. Ericksen, On the Formulation of Saint-Venant Problem, Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Vol. I, Pitman-London (1977) 158.

    MathSciNet  Google Scholar 

  18. G.P. Galdi, R.J. Knops & S. Rionero, Asymptotic Behaviour in the Nonlinear Elastic Beam, Arch. Rational Mech. Anal, in the press.

    Google Scholar 

  19. G.P. Galdi & S. Rionero, Ann. Mat. Pura Appl., 115 (1977) 119.

    Article  MathSciNet  Google Scholar 

  20. R. Adams, Ref. [9] to Chapter II.

    Google Scholar 

  21. M. Padula, On the Traction Boundary Value Problem in Exterior Domains, Proc. Roy. Soc. Edinburgh, to be published.

    Google Scholar 

  22. O.A. Oleinik & G.A. Yosifian, Arch. Rational Mech. Anal., 78 (1982) 29.

    Article  ADS  MathSciNet  Google Scholar 

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Authors
  1. Giovanni P. Galdi
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  2. Salvatore Rionero
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© 1985 Springer-Verlag

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Galdi, G.P., Rionero, S. (1985). Weighted energy methods in elastostatics on unbounded domains. In: Weighted Energy Methods in Fluid Dynamics and Elasticity. Lecture Notes in Mathematics, vol 1134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075387

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  • DOI: https://doi.org/10.1007/BFb0075387

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15645-1

  • Online ISBN: 978-3-540-39523-2

  • eBook Packages: Springer Book Archive

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