Kaplunov, J, Prikazchikov, D and Sultanova, L (2018) Justification and refinement of Winkler-Fuss hypothesis. Zeitschrift fur angewandte Mathematik und Physik, 69 (3).

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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.

Item Type: Article
Additional Information: his is a post-peer-review, pre-copyedit version of an article published in ZAMP. The final authenticated version is available online at: https://doi.org/10.1007/s00033-018-0974-1
Uncontrolled Keywords: soft thin coating, Asymptotic, Winker-Fuss model, Contrast, Substrate
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 02 May 2018 10:41
Last Modified: 28 May 2019 01:30
URI: http://eprints.keele.ac.uk/id/eprint/4812

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