Method of Fictitious Domains for Signorini’s Problem in Kirchhoff–Love Theory of Plates
- Authors: Nikolaeva N.A.1
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Affiliations:
- M. K. Ammosov North-Eastern Federal University
- Issue: Vol 221, No 6 (2017)
- Pages: 872-882
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239131
- DOI: https://doi.org/10.1007/s10958-017-3275-x
- ID: 239131
Cite item
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