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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


Authors

L. Sultanova



Abstract

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.

Citation

Kaplunov, J., Prikazchikov, D., & Sultanova, L. (2018). Justification and refinement of Winkler-Fuss hypothesis. Zeitschrift für Angewandte Mathematik und Physik, 69, Article 80. https://doi.org/10.1007/s00033-018-0974-1

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
DOI https://doi.org/10.1007/s00033-018-0974-1
Keywords soft thin coating, Asymptotic, Winker-Fuss model, Contrast, Substrate
Publisher URL https://doi.org/10.1007/s00033-018-0974-1

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