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


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Abstract

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.

About the authors

N. A. Nikolaeva

M. K. Ammosov North-Eastern Federal University

Author for correspondence.
Email: niknataf@mail.ru
Russian Federation, 48, Kulakovskogo St., Yakutsk, 677891

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