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Justification and refinement of Winkler-Fuss hypothesis

Kaplunov, J.; Prikazchikov, D.; Sultanova, L.

Justification and refinement of Winkler-Fuss hypothesis Thumbnail


L. Sultanova


Two-parametric asymptotic analysis of the equilibrium of an elastic half-space coated by a thin soft layer is developed. The initial scaling is motivated by the exact solution of the plane problem for a vertical harmonic load. It is established that the Winkler-Fuss hypothesis is valid only for a sufficiently high contrast in the stiffnesses of the layer and the half-space. As an alternative, a uniformly valid non-local approximation is proposed. Higher-order corrections to the Winkler-Fuss formulation, such as the Pasternak model, are also studied.


Kaplunov, J., Prikazchikov, D., & Sultanova, L. (2018). Justification and refinement of Winkler-Fuss hypothesis. Zeitschrift für Angewandte Mathematik und Physik, 69, Article 80.

Journal Article Type Article
Acceptance Date May 1, 2018
Publication Date May 28, 2018
Journal Zeitschrift fur angewandte Mathematik und Physik
Print ISSN 0044-2275
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 69
Article Number 80
Keywords soft thin coating, Asymptotic, Winker-Fuss model, Contrast, Substrate
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