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Method of Fictitious Domains for Signorini’s Problem in Kirchhoff–Love Theory of Plates

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We consider variational and differential settings of an equilibrium problem for an elastic plate within the Kirchhoff–Love theory of plates. Using the method of fictitious domains, we show that solutions of a family of auxiliary problems in a larger domain converge to the solution of the original contact problem.

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References

  1. A. M. Khludnev, “The method of smooth domains in the equilibrium problem for a plate with a crack” [in Russian], Sib. Mat. Zh. 43, No. 6, 1388–1400 (2002); English transl.: Sib. Mat. J. 43, No. 6, 1124–1134 (2002).

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Authors and Affiliations

  1. M. K. Ammosov North-Eastern Federal University, 48, Kulakovskogo St., Yakutsk, 677891, Russia

    N. A. Nikolaeva

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  1. N. A. Nikolaeva
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Correspondence to N. A. Nikolaeva.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 15, No. 3, 2015, pp. 78-90.

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Nikolaeva, N.A. Method of Fictitious Domains for Signorini’s Problem in Kirchhoff–Love Theory of Plates. J Math Sci 221, 872–882 (2017). https://doi.org/10.1007/s10958-017-3275-x

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  • DOI: https://doi.org/10.1007/s10958-017-3275-x

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