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Expansions in Fadle-Papkovich functions: Examples of solutions in a half-strip

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Abstract

Several examples of solutions of boundary value problems of elasticity in a half-strip are given in the form of expansions in the Fadle-Papkovich functions.

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References

  1. M. D. Kovalenko and T. D. Shulyakovskaya, “Expansions in Fadle-Papkovich Functions in a Strip. Theory Foundations,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 78–98 (2011) [Mech. Solids (Engl. Transl.) 46 (5), 721–738 (2011)].

    Google Scholar 

  2. B. Ya. Levin, The Distribution of Roots of Entire Functions (Gostekhizdat, Moscow, 1956) [in Russian].

    Google Scholar 

  3. N. I. Akhiezer, Lectures on the Theory of Approximation (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  4. A. Pflüger, “Über eine Interpretation gewisser Konvergenz- und Fortzetzungseigenschaften Dirichlet’scher Reihen,” Comment. Math. Helvet. 36(8), 89–129 (1935/36).

    Article  Google Scholar 

  5. M. M. Dzhrbashyan, Integral Transformations and Function Representations in Complex Domains (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

  6. N. I. Muskhelishvili, Several Fundamental Problems of Mathematical Theory of Elasticity (Izdat. AN SSSR, Moscow-Leningrad, 1949) [in Russian].

    Google Scholar 

  7. M. D. Kovalenko and S. V. Shibirin, “A Junction of Two Semistrips,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 56–63 (1997) [Mech. Solids (Engl. Transl.) 32 (1), 45–51 (1997)].

    Google Scholar 

  8. G. G. Sebryakov, M. D. Kovalenko, N. N. Tsybin, and T. D. Shulyakovskaya, “Expansions in Terms of the Fadle-Papkovich Functions in the Problem for a Strip with a Cut,” Dokl.Ross. Akad. Nauk 439(6), 763–766 (2008) [Dokl. Phys. (Engl. Transl.) 53 (4), 237–240 (2008)].

    MathSciNet  Google Scholar 

  9. D. I. Sherman, “On a Problemof Elasticity,” Dokl. Akad. Nauk SSSR 27(9), 907–913 (1940) [SovietMath. Dokl. (Engl. Transl.)].

    MATH  Google Scholar 

  10. E. I. Shemyakin, “Boundary Value Problems in the Elasticity Theory: Domains with Corner Points (the Planar Case),” Dokl. Ross. Akad. Nauk 347(3), 342–345 (1996) [Dokl. Phys. (Engl. Transl.) 41 (3), 135–138 (1996)].

    Google Scholar 

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Authors and Affiliations

  1. Chernomyrdin Moscow State Open University, Pionerskaya 8, Voskresensk, Moscow Region, 140200, Russia

    M. D. Kovalenko & I. V. Men’shova

  2. Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow, 123995, Russia

    T. D. Shulyakovskaya

Authors
  1. M. D. Kovalenko
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  2. I. V. Men’shova
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  3. T. D. Shulyakovskaya
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Corresponding author

Correspondence to M. D. Kovalenko.

Additional information

Original Russian Text © M.D. Kovalenko, I.V. Men’shova, T.D. Shulyakovskaya, 2013, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2013, No. 5, pp. 121–144.

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Kovalenko, M.D., Men’shova, I.V. & Shulyakovskaya, T.D. Expansions in Fadle-Papkovich functions: Examples of solutions in a half-strip. Mech. Solids 48, 584–602 (2013). https://doi.org/10.3103/S0025654413050154

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  • DOI: https://doi.org/10.3103/S0025654413050154

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